Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Advances in Mathematical Modelling, Applied Analysis and Computation : Proceedings of ICMMAAC 2023 – Volume 2 / / edited by Jagdev Singh, George A. Anastassiou, Dumitru Baleanu, Devendra Kumar
| Advances in Mathematical Modelling, Applied Analysis and Computation : Proceedings of ICMMAAC 2023 – Volume 2 / / edited by Jagdev Singh, George A. Anastassiou, Dumitru Baleanu, Devendra Kumar |
| Autore | Singh Jagdev |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (365 pages) |
| Disciplina | 620.00151 |
| Altri autori (Persone) |
AnastassiouGeorge A
BaleanuDumitru KumarDevendra |
| Collana | Lecture Notes in Networks and Systems |
| Soggetto topico |
Engineering mathematics
Mathematics - Data processing Mathematical models Dynamics Nonlinear theories Engineering Mathematics Computational Science and Engineering Mathematical Modeling and Industrial Mathematics Computational Mathematics and Numerical Analysis Applied Dynamical Systems |
| ISBN | 3-031-56304-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- q-Deformed Hyperbolic Tangent Relied Banach Space Valued Multivariate Multi Layer Neural Network Approximation -- 1 Introduction -- 2 About q-Deformed tanhqx -- 3 Multivariate General Neural Network Approximations -- References -- Dynamics and Chaos Control of the Deformed K Map -- 1 Introduction -- 2 Formation of q-Deformed K Map -- 3 Dynamics of the q-Deformed K Map -- 3.1 Existence of Positive Fixed Point -- 3.2 Stability of the Fixed Points -- 3.3 Cobweb and Time Series Plots -- 4 Bifurcation Analysis of the q-Deformed K Map -- 4.1 Effect of High Deformation -- 5 Topological Entropy of the q-Deformed K Map -- 6 Chaos Control of the q-Deformed K Map -- 7 Conclusion -- References -- Relativistic Modelling for Anisotropic Stellar Object -- 1 Introduction -- 2 Einstein's Field Equations and Its Solutions -- 3 Solutions for New Model -- 4 Determine Constand and Comparison with Observational Data -- 5 Results and Discussion -- 5.1 Physical Analysis -- 5.2 Metric Potentials -- 5.3 Energy Density and Pressure Inside Compact Objects -- 5.4 Anisotropy -- 5.5 Energy Conditions for Compact Objects -- 5.6 An Analysis of Compact Star's Stability -- 6 Conclusion -- References -- Impact of Vertical Magnetic Field on the Rivlin-Ericksen Fluid Interface: An Irrotational Flow Approach -- 1 Introduction -- 2 Mathematical Formulation and Boundary Conditions -- 2.1 Interfacial and Boundary Conditions -- -- 3 Stability Analysis -- 3.1 Basic State -- 3.2 Perturbation State -- 4 Dispersion Relationship -- 5 Result and Discussion -- 6 Conclusions -- References -- Fixed Point Results for Cyclic Contraction Mapping in Non-triangular Metric Spaces -- 1 Introduction -- 2 Answer of Question 1 -- 3 Main Results -- References -- Fuzzy Edge Detection for the Identification of Arachnoid Cysts in Brain Images -- 1 Introduction -- 2 Related Work.
3 Case History -- 4 Proposed Technique -- 4.1 Loading the CT and MRI Image and then Normalizing -- 4.2 Finding the Gradient, Magnitude, and Direction Using the Sobel Operator -- 4.3 Fuzzy Variable and Membership Function -- 4.4 Establishing Fuzzy Control System to Perform the Fuzzy Inference System -- 4.5 Adaptive Thresholding -- 5 Result and Discussion -- 6 Conclusion -- References -- Taming Non-autonomous Chaos in Duffing System Using Small Harmonic Perturbation -- 1 Introduction -- 2 Duffing Models -- 2.1 (a) Duffing-Ueda Oscillator -- 2.2 (b) Duffing Oscillator Model with Asymmetric Potential -- 2.3 (c) Duffing Oscillator Model with Symmetric Potential -- 3 Suppression of Chaos in Excited Duffing Oscillator Models -- 3.1 Suppression of Chaos by Varying -- 3.2 Suppression of Chaos by Varying -- 4 Results -- References -- Modeling the Removal by Rain of Two Interacting Gases Forming Distinct Particulate Matters in the Atmosphere -- 1 Introduction -- 2 Mathematical Model -- 3 Equilibrium and Stability Analysis -- 4 Numerical Simulation and Discussion -- 5 Conclusions -- References -- A Time-Sequential Probabilistic Hesitant Fuzzy Approach to a 3-Dimensional Green Transportation System -- 1 Introduction -- 2 Time Sequential Probabilistic Hesitant Fuzzy Set -- 2.1 Definition -- 2.2 Elementary Operations on TS-PHFS -- 2.3 Comparison Function -- 2.4 Theorem -- 3 Mathematical Modelling -- 4 Solution Procedure -- 5 Numerical Computation -- 6 Conclusion -- References -- Efficient Apriori Rank Pruning Model Based Novelty Detection with One-Class SVM IN Online Pharmaceutical Platforms -- 1 Introduction -- 2 Literature Review -- 2.1 Problems in Outlier Detection -- 3 Proposed Model -- 3.1 Data Collection and Pre-processing -- 3.2 Association Rule Mining -- 3.3 Rank Pruning Model -- 3.4 Outlier Detection -- 4 Results and Discussions. 4.1 Experiment with IBM's Synthetic Data -- 4.2 Experiment with e-Pharmacy Dataset -- 5 Conclusion -- References -- Development of Ensemble Probabilistic Machine Learning Models for Rainfall Predictions -- 1 Introduction -- 1.1 Machine Learning -- 1.2 Ensemble Models -- 2 Related Work -- 3 Methodology and Results -- 3.1 Machine Learning Methods -- 3.2 Ensembled Probabilistic Machine Learning Methods -- 4 Conclusion and Future Work -- References -- A Numerical Study of a Three-Layered Model for the Flow of Jeffrey Fluid in Small Blood Vessels -- 1 Introduction -- 2 Mathematical Formulation -- 3 Solutions -- 4 Results and Discussions -- 5 Conclusions -- References -- Sustainable Supplier Selection in Pulp and Paper Industry on the Basis of Reduction of Carbon Emission: MCDM Model -- 1 Introduction -- 2 Literature Review -- 3 Methodology -- 3.1 Calculation of Criteria -- 3.2 TOPSIS ch13ref10,ch13ref3,ch13ref23,ch13ref18 -- 3.3 VIKOR ch13ref5,ch13ref7,ch13ref8,ch13ref2,ch13ref11,ch13ref13 -- 3.4 COPRAS ch13ref8 -- 4 Case Study -- 4.1 TOPSIS -- 4.2 VIKOR -- 4.3 COPRAS -- 5 Managerial Implications -- 6 Conclusion -- References -- A Mathematical Study of Basic Reproduction R0 and its Significance in Controlling of Corona-Virus (COVID-19) Disease Transmission -- 1 Introduction -- 2 Basic Reproduction Number -- 2.1 Derivation of Ro from SI Model with Incubation Delay -- 2.2 Derivation of R from SIR Model -- 2.3 Derivation of R0 from Next-Generation Matrix -- 2.4 Quarantine COVID-19 Model -- 3 Will an Epidemic Infect Everyone? -- 4 Optimal Virulence -- 5 Data -- 6 Conclusion -- References -- Ultradistributional Wavelet Transform for the Convolutors of S -- 1 Introduction -- 2 Wavelet Transform on Convolutors of S -- References -- A Data Preprocessing and Stacking Ensemble Learning Model for Improved CHD Prediction -- 1 Introduction -- 1.1 Preventive Measures. 2 Literature Review -- 3 Methodology -- 3.1 Data Collection and Preprocessing -- 3.2 Models -- 3.3 Evaluation Metrics -- 4 Results Analysis -- 5 Conclusion -- References -- Numerical Investigation of Radiation and Magnetic Effects on Casson Fluid Flow Over a Porous Sheet in Presence of Constant Mass Flux -- 1 Introduction -- 2 Mathematical Formulation -- 3 Results and Discussion -- 4 Conclusion -- References -- Monoid of Neutrosophic Fuzzy Soft Matrix -- 1 Introduction -- 2 Preliminaries -- 3 Properties of Arithmetic Sum and Arithmetic Product and -- 4 Conclusion -- References -- A Hybrid Computational Scheme for Solving Local Fractional Partial Differential Equations -- 1 Introduction -- 2 Mathematical Fundamentals -- 3 Analysis of LFNHPM -- 4 Applications of LFNHPM -- 5 Conclusion -- References -- Several Computational Based Expansions for Incomplete -Function Using the Leibniz Rule -- 1 Introduction and Preliminaries -- 2 Main Results -- 3 Special Cases -- 4 Conclusion -- References -- Some Coefficient Inequalities for Normalized Wright Function -- 1 Introduction and Preliminary -- 2 Main Results -- 3 Conclusion -- References -- Multi-objective Linear Fractional Solid Transportation Problem with Uncertain Variables -- 1 Introduction -- 2 Definition of Uncertainty Theory -- 3 Formulation of Multi-objective Linear Fractional Solid Transportation Problem -- 4 Uncertain Formulation -- 4.1 Formulation of EVM -- 4.2 Formulation of OVM -- 5 Deterministic Formulations -- 5.1 EVM -- 5.2 OVM -- 6 Explanation of Methods -- 6.1 Minimizing Distance Method (MDM) -- 6.2 Fuzzy Programming Problem (FPP) -- 7 Mathematical Illustration -- 7.1 Expected Value Model -- 7.2 Optimistic Value Method -- 8 Result and Comparison -- 9 Conclusion -- References -- Monoclinic Elastic Medium Under the Effect of Initial Stress with Repeated Eigen Values -- 1 Introduction. 2 Theoretical Formulism -- 3 Solution of the Problem -- 3.1 A Normal Loading -- 3.2 Tangential Loading -- 3.3 Inclined Line-Load -- 4 Particular Cases -- 5 Numerical Results and Discussion -- 6 Conclusion -- References -- Author Index. |
| Record Nr. | UNINA-9910847070903321 |
Singh Jagdev
|
||
| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in Mathematical Modelling, Applied Analysis and Computation : Proceedings of ICMMAAC 2023 – Volume 1 / / edited by Jagdev Singh, George A. Anastassiou, Dumitru Baleanu, Devendra Kumar
| Advances in Mathematical Modelling, Applied Analysis and Computation : Proceedings of ICMMAAC 2023 – Volume 1 / / edited by Jagdev Singh, George A. Anastassiou, Dumitru Baleanu, Devendra Kumar |
| Autore | Singh Jagdev |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (397 pages) |
| Disciplina | 620.00151 |
| Altri autori (Persone) |
AnastassiouGeorge A
BaleanuDumitru KumarDevendra |
| Collana | Lecture Notes in Networks and Systems |
| Soggetto topico |
Engineering mathematics
Mathematics - Data processing Mathematical models Dynamics Nonlinear theories Engineering Mathematics Computational Science and Engineering Mathematical Modeling and Industrial Mathematics Computational Mathematics and Numerical Analysis Applied Dynamical Systems |
| ISBN | 3-031-56307-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- Trigonometric and Hyperbolic Korovkin Theory -- 1 Introduction -- 2 Main Results -- 2.1 Trigonometric Approximation by Positive Linear Operators -- 2.2 Hyperbolic Approximation by Positive Linear Operators -- 3 Applications -- References -- Solution of Bicomplex Time Fractional Schrödinger Equation Involving Bicomplex Mittag-Leffler Function -- 1 Introduction -- 2 Preliminaries -- 3 Integral Representation and Euler Identity for Bicomplex Mittag-Leffler Function -- 4 Application of Euler Identity for the Solution of Bicomplex Time Fractional Schrödinger's equation (SE) -- 4.1 Solution for Free Particle -- 4.2 Solution for Potential Well -- 5 Conclusion -- References -- On Copositive Matrices and Completely Mixed Games -- 1 Introduction -- 2 Preliminaries -- 2.1 Motivation -- 3 Main Result -- 4 Conclusions -- References -- Wavelet Neural Network Solutions for Riccati Differential Equations: The Vieta-Fibonacci Approach -- 1 Introduction -- 2 Vieta-Fibonacci Wavelet Neural Network (VFWNN) Approach -- 2.1 Structure of VFWNN -- 2.2 Learning Algorithm of VFWNN -- 3 Computational Methodology -- 4 Numerical Simulations -- 5 Results and Discussions -- 6 Conclusion -- References -- Diet & -- Diabetes: An Intuitionistic Fuzzy Multiobjective Model -- 1 Introduction -- 2 Prerequisities -- 2.1 Intuitionistic Fuzzy Set -- 2.2 Multi-objective Linear Programming Problem -- 3 Methodology -- 4 Model Design -- 5 Numerical Example -- 6 Conclusion -- References -- On Characteristics of t-Norms Under the Doubt Q-Fuzzy T-Sub Algebra and Ideals in BP-Algebra -- 1 Introduction -- 2 Basic Concepts -- 3 On Characteristics of FileRef="551340_1_En_6_Figi_HTML.png" Format="PNG" Color="BlackWhite" Type="Linedraw" Rendition="HTML" Height="33" Resolution="300" Width="19"-Norms Under the Doubt Q-Fuzzy T-Sub Algebra and Ideals in BP-Algebra -- 4 Conclusion.
References -- Study of Quadcopter Movement Using CFD and PID with Numerical Methods -- 1 Introduction -- 2 Related Work -- 3 Methodology -- 3.1 Quadcopter Kinematics -- 3.2 Quadcopter Dynamics -- 3.3 Mathematical Models -- 3.4 PID Controller -- 4 Results and Discussion -- 5 Conclusion and Future Work -- References -- Effect of Magnetic-Field Modulation on the Instability of Micropolar Nanofluid Filled Within Hele-Shaw Cell -- 1 Introduction -- 2 Mathematical Equations -- 2.1 Basic Solution -- 2.2 Perturb State -- 2.3 Linear Evaluation -- 3 Normal Mode Approach -- 3.1 Non-linear Analysis -- 4 Heat/Nanopartical Concentration Transport -- 5 Results/Discussion -- 5.1 Linear Stability -- 5.2 Non-linear Stability -- 6 Conclusions -- References -- A Study of Cost Minimization: Replenishment Decision for Items with Stock Dependent Demand Using Combined Payment Modes -- 1 Introduction -- 2 Mathematical Framework -- 2.1 Assumptions -- 2.2 Mathematical Model -- 3 Solution Process -- 4 Exemplars -- 4.1 Example 1 -- 4.2 Example 2 -- 4.3 Example 3 -- 5 Result and Discussion -- 6 Conclusion -- References -- A Mathematical Study of Reproduction Number and Its Control Strategies in Some Early Epidemic and Corona-Virus Epidemic Model -- 1 Introduction -- 2 Reproduction Number -- 2.1 Formation R0 in the SI Model -- 2.2 R0 is Calculated from the SI Model with an Incubation Delay -- 2.3 Calculating R0 from the SIR Model -- 2.4 R0 of Next-Generation Matrix -- 3 Utilizing Reproduction Numbers to Provide Control Methods -- 3.1 Type and Target Reproduction Numbers -- 3.2 Sensitivity and Elasticity -- 4 Will Everyone Get Affected by an Epidemic? -- 5 Greatest Fluency -- 6 Some Early Epidemic Models and Calculation Reproduction -- 6.1 A Model for West Nile Virus -- 7 Zika Model -- 7.1 Vital Reproduction -- 8 Different COVID-19 Model. 8.1 Coronavirus Disease Transmission Model with Asymptomatic and Symptomatic Individuals -- 8.2 COVID-19 Model in Quarantine -- 9 More Information -- 10 Conclusion -- References -- On the Elliptic-Type Integrals Associated with Generalized Incomplete Hypergeometric Functions with Generating Functions -- 1 Introduction -- 2 Theorems -- 3 Applications -- 4 Particular Case -- 5 Conclusions -- References -- A Computational and Comparative Analysis of Medical Image Fusion Using Different Transform Domain Techniques -- 1 Introduction -- 2 Transform Domain Algorithms -- 2.1 Pyramid‑Based Image Fusion -- 2.2 Image Transform-Based Image Fusion -- 2.3 Fusion Based on Filtering -- 3 Performance Measures -- 4 Simulation Results Analysis and Discussions -- 5 Conclusion -- References -- Advancing Efficiency in Agricultural Automation: A Kinematic Model for a Parallel 4-DoF SCARA System -- 1 Introduction -- 2 Related Work -- 3 Materials and Method -- 3.1 Law of Cosines -- 4 Result and Discussion -- 5 Conclusion -- 6 Future Work -- References -- Mathematical Model of Time-Fractional Diffusion Equation in Drug-Eluting Stent -- 1 Introduction -- 2 Mathematical Modelling -- 3 Approximate Solution -- 4 Result and Discussion -- 5 Conclusion -- References -- Transformations and Reductions of Srivastava-Daoust Type Double Hypergeometric Functions -- 1 Introduction -- 2 Alternative Proof for the Theorem 2.1 Due to Liu and Wang ch15lw14 -- 3 Generalized Double Series Transformations -- 4 Srivastava-Daoust Type Transformation and Reduction Formulas -- 4.1 Results Based on Theorem 2 -- 4.2 Reduction Formulas Based on Theorem 4 -- 4.3 Results Based on Theorem 5 -- 4.4 Results Based on Theorem 6 -- 4.5 Results Based on Theorem 8 -- 4.6 Results Based on Theorem 9 -- 5 Conclusion -- References. The Impact of Alternative Food Sources on Chaos Occurrence and Control: Insights from the Leslie-Gower Type Tritrophic Food Chain Model -- 1 Introduction -- 2 Model Formulation -- 3 Boundedness of the Model -- 4 Existence and Local Stability of Equilibrium Points -- 5 Permanence and Impermanence -- 6 Hopf Bifurcation -- 7 Global Stability -- 8 Numerical Results -- 9 Discussion -- References -- Anti-intuitionistic Fuzzy Soft Modules in BCK/BCI-Algebras -- 1 Introduction -- 2 Preliminaries -- 3 Anti-intuitionistic Fuzzy Soft BCI/BCK-Algebras -- 4 Anti-intuitionistic Fuzzy Soft Modules -- 5 Fuzzy BCK-Modules -- 6 Anti-intuitionistic Fuzzy Soft BCK-Modules -- References -- Cubic B-Spline Technique for Numerical Solution of Second Order Convection-Diffusion PDEs -- 1 Introduction -- 2 Cubic B-Spline Approximation -- 2.1 Initial Values -- 3 Stability Analysis -- 4 Numerical Examples and Results -- 5 Conclusion -- References -- Integral Transforms and Generalized Quotient Space on the Torus -- 1 Introduction -- 2 Generalized Quotient Spaces -- 3 Space of Generalized Quotients on the Torus B_S^(T^d) -- 4 Mellin Transform for Generalized Quotients on Torus -- 5 Wavelet Transform for Generalized Quotient on Torus -- 6 Conclusions -- References -- Thermal Instability of the Couple-Stress on Micro Polar Fluid Flow -- 1 Introduction -- 2 Mathematical Formulation -- 3 Basic State -- 4 Linearize Perturbation Equations -- 5 Boundary Conditions -- 6 Dispersion Relation -- 6.1 Normal Mode Analysis -- 7 Stationary Convection -- 8 Oscillatory Convection -- 9 Numerical Calculation by MATLAB -- 10 Conclusions -- References -- Neutrosophic Decision-Making in Eco-Friendly Logistics: A Case of Fractional Solid Transportation Optimization -- 1 Introduction -- 2 Sourcing Decision Problem -- 3 Fundamentals -- 4 Mathematical Model -- 5 The Proposed Model. 6 Sequential Steps of the Proposed Approach -- 7 Exemplification -- 8 Implication -- 9 Conclusion -- References -- The Combinatorial Impact of Through-Flow and G-Jitter on Instability Exploration of a Rotating Layer of Nano-Liquid with the Magnetic Field -- 1 Introduction -- 2 Mathematical Structure -- 3 Basic Outcome -- 4 Perturbed State -- 5 Linear Stability Analysis -- 5.1 Technique/Method -- 5.2 Stationary Mode of Convection -- 6 Non-Linear Analysis -- 7 Heat and Mass Transportation -- 8 Result/ Discussion -- 8.1 Linear Exploration -- 8.2 Non-Linear Stability -- 8.3 Streamlines -- 9 Conclusions -- References -- Fractional Elzaki Variational Iteration Method for Solving Nonlinear Biological Population Model -- 1 Introduction -- 2 Preliminaries -- 3 Analysis of EVIM -- 4 Applications -- 5 Conclusion -- References -- Dual Hesitant Fermatean Fuzzy Hamacher Operators in the Evaluation of Healthcare Sustainability -- 1 Introduction -- 2 Dual Hesitant Fermatean Fuzzy Set (DHFFS) -- 2.1 Definition -- 2.2 Elementary Operations -- 2.3 Score Function -- 3 Novel Hamachar Operatons and Score Function -- 3.1 Hamachar Operators -- 3.2 Score Function -- 4 Dual Hesitant Fermatean Fuzzy Hamacher Prioritized Aggregation Operators -- 4.1 Dual Hesitant Fermatean Fuzzy Hamacher Arithmetic Aggregation Operators -- 4.2 Dual Hesitant Fermatean Fuzzy Hamacher Geometric Aggregation Operators -- 5 Proposed Methodology -- 6 Case Study -- 7 Conclusions -- References -- Author Index. |
| Record Nr. | UNINA-9910847080503321 |
|
Singh Jagdev
|
||
| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Methods of Mathematical Modelling and Computation for Complex Systems
| Methods of Mathematical Modelling and Computation for Complex Systems |
| Autore | Singh Jagdev |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing AG, , 2021 |
| Descrizione fisica | 1 online resource (435 pages) |
| Altri autori (Persone) |
DuttaHemen
KumarDevendra BaleanuDumitru HristovJordan |
| Collana | Studies in Systems, Decision and Control Ser. |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-030-77169-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- About the Editors -- On the Diffusion with Decaying Time-Dependent Diffusivity: Formulations and Approximate Solutions Pertinent to Diffusion in Concretes -- 1 Introduction -- 1.1 General Assumptions -- 1.2 Common Approaches in Modelling and Solutions -- 2 Motivation of This Study -- 2.1 Aim and Chapter Organization -- 3 Existing Functional Relationships of D(t): A Brief Overview -- 3.1 Singular (Power-Law) Time Dependence of D(t) -- 3.2 Non-singular Forms of D(t) -- 4 New Forms of D(t) and Method of Approximate Solutions -- 4.1 New Non-singular Forms of D(t) -- 4.2 Integral-Balance Method -- 5 Approximate Solutions of (4) with Different D(t) -- 5.1 Solutions with D1(t) -- 5.2 Solutions with D2(t) -- 5.3 Solutions with D3(t) -- 5.4 Numerical Experiments with the Approximate Solutions -- 5.5 Comparative Study with Non-singular D(t) From Literature Sources -- 5.6 Solution Optimization -- 6 Outcomes of the Approximate Solutions -- 6.1 Causality of Dynamic Models: Basic Principles -- 6.2 Subdiffusion Front Propagation: Two Formal Explanations -- 6.3 Finite Penetration Depth and Finite Speed of the Front -- 7 Final Comments -- References -- Laminar Convection of Power-Law Fluids in Differentially Heated Closed Region: CFD Analysis -- 1 Introduction -- 2 Numerical Method -- 2.1 Governing Equations -- 2.2 Boundary Conditions -- 2.3 Grid Dependency -- 2.4 Benchmark Comparison -- 3 Discussion and Computational Results -- 3.1 The Effects of Rayleigh Number -- 3.2 Bingham Fluids -- 3.3 Pseudo Plastic Fluid -- 3.4 Dilatant Fluids -- 4 Conclusions -- References -- Mathematical Perspective of Hodgkin-Huxley Model and Bifurcation Analysis -- 1 Neurological Backgrounds -- 1.1 How Does Neuron Work? -- 1.2 How Does a Neuron Fire? -- 1.3 How Neurons Communicate? -- 2 Hodgkin and Huxley Model (HH Model) -- 3 Review of HH Model:.
4 Modified HH Models -- 5 Comparative Studies of Modified HH Models -- 5.1 Stability Analysis -- 5.2 Comparative Study of Time Series Analysis -- 5.3 Comparative Study of One-Parameter Bifurcation -- 5.4 Comparative Study of Two-Parameter Bifurcation -- 6 Results -- 7 Discussions -- References -- Mathematical Analysis of Two Unequal Collinear Cracks in a Piezo-Electro-Magnetic Media -- 1 Introduction -- 2 Basic Equations for Piezoelectromagnetic Media -- 2.1 Crack Face Boundary Conditions -- 3 Fundamental Formulation and Solution Methodology -- 4 Statement of the Problem -- 5 Solution of the Problem -- 6 Applications -- 6.1 Crack Opening Displacement (COD) -- 6.2 Crack Opening Potential Drop (COPD) -- 6.3 Crack Opening Induction Drop (COID) -- 6.4 Stress Intensity Factor (SIF) -- 6.5 Electric Displacement Intensity Factor (EDIF) -- 6.6 Magnetic Induction Intensity Factor (MIIF) -- 7 Case Study -- 7.1 Effect of Inter-Crack Distance -- 7.2 Effect of Crack Length -- 8 Conclusions -- References -- Advanced Analysis of Local Fractional Calculus Applied to the Rice Theory in Fractal Fracture Mechanics -- 1 Introduction -- 2 The LFD and LFI in the Fractional Real and Complex Sets -- 2.1 The LFD and LFI in the Fractional Real Set -- 2.2 The LFD and LFI in the Fractional Complex Set -- 3 Analysis of the Local Fractional Differential and Integral Equations -- 3.1 The Uniqueness of the Solutions of the Local Fractional Differential Equations -- 3.2 The Uniqueness of the Solutions of the Local Fractional Integral Equations -- 4 Local Fractional Inequalities -- 5 The Series and Transforms Involving the Mittag-Leffler Function Defined on Cantor Sets -- 5.1 The Fourier Type Series Via the Mittag-Leffler Function Defined On Cantor Sets -- 5.2 The Fourier Type Transform Via Mittag-Leffler Function Defined on Cantor Sets. 6 Local Fractional Vector Calculus with an Application in Fractal Fracture Mechanics -- 6.1 Local Fractional Vector Calculus -- 6.2 An Application to Rice Theory in Fractal Mechanics -- 7 Conclusion -- References -- General Fractional Calculus with Nonsingular Kernels: New Prospective on Viscoelasticity -- 1 Introduction -- 2 Mathematical Tools -- 2.1 The Special Functions with Power Law -- 2.2 GFC in a Kernel Function -- 2.3 FC Within the Singular Power-Law Kernel -- 2.4 GFC with the Nonsingular Power-Law Kernel -- 2.5 GFC with the Nonsingular Mittag-Leffler Function Kernel -- 2.6 GFC with the Nonsingular Wiman Kernel -- 2.7 GFC with the Nonsingular Prabhakar Kernel -- 3 The Rheological Models with GFCs Involving the Nonsingular Kernels -- 3.1 Complex Phenomena in Viscoelasticity -- 3.2 The Viscoelastic Elements with GFDs -- 3.3 The Maxwell Models with GFDs -- 3.4 The Voigt Models with GFDs -- 4 Conclusion -- References -- Group Dynamical Systems on C*-Algebras Generated by Countable Infinitely Many Semicircular Elements -- 1 Introduction -- 1.1 Background -- 1.2 Motivation -- 1.3 Overview -- 2 Preliminaries -- 2.1 Free Probability -- 2.2 Semicircularity -- 3 Catalan Numbers -- 4 Free Distributions of Multi Semicircular Elements -- 4.1 Free-Distributional Data (13) of ρ -- 4.2 Free-Distributional Data (14) of ρ -- 4.3 The Joint Free Distribution ρx1,...,xN -- 5 A C*-Probability Space ( mathfrakX, ) Generated by | mathbbN| -Many Semicircular Elements -- 5.1 Free-Homomorphisms -- 5.2 A C*-Probability Space ( mathfrakX, midmathfrakX) -- 5.3 Free-Distributional Data on mathfrakX -- 6 Free-Isomorphisms on mathfrakX -- 6.1 Shifts on mathbbZ -- 6.2 Integer Shifts on mathfrakX -- 6.3 Free-Isomorphic Relations on mathfrakX -- 7 A Group Dynamical System ( λ, ΛmathfrakX, α) -- 7.1 A Group C*-Dynamical System Γ=( λ, ΛmathfrakX, α). 7.2 The Γ-Dynamical Algebra mathbbXΓ of λ -- 8 Free Probability on mathbbXΓ -- 8.1 Free Probability on ΛmathfrakX = ( ΛmathfrakX, τ) -- 8.2 Free-Distributional Data on mathbbXΓ -- References -- Lie Group Theory for Nonlinear Fractional K(m, n) Type Equation with Variable Coefficients -- 1 Introduction -- 2 Lie Symmetry Analysis Method for FPDEs -- 3 Fractional Lie Symmetries for Time-Fractional K(m, n) -- 4 Fractional Lie Symmetries for Time-Fractional K(2, 3) -- 5 Reduced Equations and Invariant Solution of Eq. (20) -- 6 Conclusion -- References -- Generalized Rayleigh Wave Propagation in Heterogeneous Substratum Over Homogeneous Half-Space Under Gravity -- 1 Introduction -- 2 Formulation of the Problem -- 2.1 Equations of Motion and Solution for Upper Layer -- 2.2 Equations of Motion and Solution for Half Space -- 3 Boundary Conditions -- 3.1 Particular Cases -- 4 Results and Discussions -- 5 Conclusion -- References -- On Defining Trigonometric Box Spline-Like Surface on Type-I Triangulation -- 1 Introduction -- 2 Trigonometric Spline Surface on Arbitrary Topology -- 3 Construction of the New Non-stationary Subdivision Scheme -- 3.1 Construction of the Scheme -- 3.2 Regular Subdivision Rules -- 3.3 Subdivision Surface -- 4 Convergence Analysis -- 5 Application of the Proposed Scheme -- 6 Conclusion -- References -- Mathematical Modelling for Perishable Product Supply Chain Under Inflation and Variable Lead Time -- 1 Introduction -- 2 Literature Review -- 3 Research Gap -- 4 The Model Framework -- 5 Result and Discussion -- 5.1 Future Scope and Limitations of the Research Work -- 6 Conclusion -- References -- Mexican Hat Wavelet Transform and Its Applications -- 1 Introduction -- 2 Necessary Conditions for Mexican Hat Wavelet and MHWST -- 3 Sufficient Conditions for Mexican Hat Wavelet and MHWST -- References. Fractal Fractional Derivative Operator Method on MCF-7 Cell Line Dynamics -- 1 Introduction -- 2 Mathematical Analysis of the Models -- 2.1 Preliminaries -- 2.2 Uniqueness and Continuous Dependence of the Solution -- 2.3 Physiological Level for the Dynamics -- 2.4 Asymptotic Stability Conditions for the Dynamics -- 3 Construction of the Fractal Fractional Operator Numerical Method -- 4 Numerical Results and Discussions -- 5 Conclusion -- References -- The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications -- 1 Introduction -- 2 The Model, Sub-Classes and Properties -- 2.1 The Model -- 2.2 Quantile Function -- 2.3 Expansion of Density -- 2.4 Moments and Generating Function -- 2.5 Conditional Moments -- 2.6 Mean Deviation, Lorenz and Bonferroni Curves -- 2.7 Order Statistics and Rényi Entropy -- 2.8 Maximum Likelihood Estimation -- 3 Some Special Classes of the EHL-TL-GPS Class of Distributions -- 3.1 Exponentiated Half Logistic Topp-Leone-Log-Logistic Power Series (EHL-TL-LLoGPS) Class of Distributions -- 3.2 Exponentiated Half Logistic-Topp-Leone-Weibull Power Series (EHL-TL-WPS) Class of Distributions -- 4 Simulation Study -- 5 Applications -- 5.1 Guinea Pigs Survival Times Data -- 5.2 Skin Folds Data -- 6 Concluding Remarks -- References -- Fixed Points of Multivalued (αast-φ)-Contractions and Metric Transforms -- 1 Introduction and Preliminaries -- 2 Extensions by Using Multivalued ( αast-φ) Contractions -- 3 Generalized (αast-φ) Multivalued Contractions -- References -- Approximation of Signals Via Different Summability Means with Effects of Gibbs Phenomenon -- 1 Introduction and Preliminaries -- 2 Definitions and Motivation -- 3 Classical Approximation Theorems -- 4 Statistical Korovkin-Type Approximation Results -- 5 Effects of Gibbs Phenomenon. 6 Concluding Remarks and Observations. |
| Record Nr. | UNINA-9910497101203321 |
|
Singh Jagdev
|
||
| Cham : , : Springer International Publishing AG, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
New Trends in Fractional Differential Equations with Real-World Applications in Physics
| New Trends in Fractional Differential Equations with Real-World Applications in Physics |
| Autore | Singh Jagdev |
| Pubbl/distr/stampa | Frontiers Media SA, 2020 |
| Descrizione fisica | 1 electronic resource (172 p.) |
| Soggetto topico |
Science: general issues
Physics |
| Soggetto non controllato |
Fractional Differential Equations
Real-World Applications Physics fractional calculus computational techniques Fractional order models |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557468303321 |
|
Singh Jagdev
|
||
| Frontiers Media SA, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||