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Differential and Difference Equations : A Themed Issue Dedicated to Prof. Hari M. Srivastava on the Occasion of his 80th Birthday
| Differential and Difference Equations : A Themed Issue Dedicated to Prof. Hari M. Srivastava on the Occasion of his 80th Birthday |
| Autore | Ntouyas Sotiris K |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 |
| Descrizione fisica | 1 electronic resource (372 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
generating functions
functional equations partial differential equations special numbers and polynomials Bernoulli numbers Euler numbers Stirling numbers Bell polynomials Cauchy numbers Poisson-Charlier polynomials Bernstein basis functions Daehee numbers and polynomials combinatorial sums binomial coefficients p-adic integral probability distribution Mittag-Leffler function spectrum eigenvalue fractional derivative q-Homotopy analysis transform method Natural decomposition method Whitham–Broer–Kaup equations Caputo derivative liner recursions convolution formulas Gegenbauer polynomials Humbert polynomials classical polynomials in several variables classical number sequences Riemann–Liouville fractional integral Mittag–Leffler function Babenko’s approach generalized Abel’s integral equation harmonic functions janowski functions starlike functions extreme points subordination ocillation higher-order differential equations p-Laplacian equations rumor spreading model white noise stochastic differential equations asymptotic mean square stability stability in probability linear matrix inequality Co-infection of HIV-TB equilibrium point reproduction number stability analysis backward bifurcation harmonic univalent functions generalized linear operator differential operator Salagean operator coefficient bounds essential maps coincidence points topological principles selections univalent function analytic function unit disk integro-differential equation mixed type equation spectral parameters integral conditions solvability exponential stability linear skew-product semiflows Lyapunov functions fractional differential equations fractional differential inclusions existence fixed point theorems fuzzy functions time scales Hukuhara difference generalized nabla Hukuhara derivative fuzzy nabla integral caputo fractional derivative multi-term fractional differential equations fixed point difference equations periodicity character nonexistence cases of periodic solutions hypersingular integral equations iterative projection method Lyapunov stability theory MADE eigenfunction convergence Fourier transform singular Cauchy problem asymptotic series regularization method turning point unified transform modified Helmholtz equation global relation triple q-hypergeometric function convergence region Ward q-addition q-integral representation |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Differential and Difference Equations |
| Record Nr. | UNINA-9910557286803321 |
Ntouyas Sotiris K
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| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractional Differential Equations, Inclusions and Inequalities with Applications
| Fractional Differential Equations, Inclusions and Inequalities with Applications |
| Autore | Ntouyas Sotiris K |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 |
| Descrizione fisica | 1 electronic resource (518 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
fractional evolution inclusions
mild solutions condensing multivalued map arbitrary order differential equations multiple positive solution Perov-type fixed point theorem HU stability Caputo fractional derivative nonlocal integro-multipoint boundary conditions existence uniqueness Ulam-Hyers stability coupled system of fractional difference equations fractional sum discrete half-line non-instantaneous impulsive equations random impulsive and junction points continuous dependence Caputo–Fabrizio fractional differential equations Hyers–Ulam stability fractional derivative fixed point theorem fractional differential equation fractional sum-difference equations boundary value problem positive solution green function the method of lower and upper solutions three-point boundary-value problem Caputo’s fractional derivative Riemann-Liouville fractional integral fixed-point theorems Langevin equation generalized fractional integral generalized Liouville–Caputo derivative nonlocal boundary conditions fixed point fractional differential inclusions ψ-Riesz-Caputo derivative existence of solutions anti-periodic boundary value problems q-integro-difference equation fractional calculus fractional integrals Ostrowski type inequality convex function exponentially convex function generalized Riemann-liouville fractional integrals convex functions Hermite–Hadamard-type inequalities exponential kernel caputo fractional derivative coupled system impulses existence theory stability theory conformable derivative conformable partial derivative conformable double Laplace decomposition method conformable Laplace transform singular one dimensional coupled Burgers’ equation Green’s function existence and uniqueness of solution positivity of solution iterative method Riemann–Liouville type fractional problem positive solutions the index of fixed point matrix theory differential inclusions Caputo-type fractional derivative fractional integral time-fractional diffusion equation inverse problem ill-posed problem convergence estimates s-convex function Hermite–Hadamard inequalities Riemann–Liouville fractional integrals fractal space functional fractional differential inclusions Hadamard fractional derivative Katugampola fractional integrals Hermite–Hadamard inequality fractional q-difference inclusion measure of noncompactness solution proportional fractional integrals inequalities Qi inequality caputo-type fractional derivative fractional derivatives neutral fractional systems distributed delay integral representation fractional hardy’s inequality fractional bennett’s inequality fractional copson’s inequality fractional leindler’s inequality timescales conformable fractional calculus fractional hölder inequality sequential fractional delta-nabla sum-difference equations nonlocal fractional delta-nabla sum boundary value problem hadamard proportional fractional integrals fractional integral inequalities Hermite–Hadamard type inequalities interval-valued functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557731003321 |
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Ntouyas Sotiris K
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| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hadamard-type fractional differential equations, inclusions and inequalities / / by Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon
| Hadamard-type fractional differential equations, inclusions and inequalities / / by Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon |
| Autore | Ahmad Bashir |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XIII, 414 p. 1 illus.) |
| Disciplina | 515 |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) Numerical analysis Analysis Numerical Analysis |
| ISBN | 3-319-52141-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Preliminaries -- 2. IVP and BVP for Hadamard-type differential equations and inclusions -- 3. Nonlocal Hadamard fractional boundary value problems -- 4. Fractional integro-differential equations and inclusions -- 5. Fractional differential equations with Hadamard fractional integral conditions -- 6. Hadamard type coupled systems of fractional differential equations -- 7. Nonlinear Langevin equation and inclusions of Hadamard-Caputo type -- 8. Impulsive multi-order Hadamard fractional differential equations -- 9. IVP and BVP for Hybrid Hadamard Fractional Differential Equations and Inclusions -- 10. Positive solutions for Hadamard fractional differential equations on infinite domain -- 11. Fractional integral inequalities via Hadamard's fractional integral -- References -- Index. |
| Record Nr. | UNINA-9910254291503321 |
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Ahmad Bashir
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Nonlinear Systems of Fractional Differential Equations
| Nonlinear Systems of Fractional Differential Equations |
| Autore | Ahmad Bashir |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cham : , : Springer, , 2024 |
| Descrizione fisica | 1 online resource (597 pages) |
| Altri autori (Persone) | NtouyasSotiris K |
| ISBN | 3-031-62513-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Preliminaries -- 1.1 Definitions and Results from Fractional Calculus -- 1.1.1 Riemann-Liouville and Caputo Fractional Derivative Operators -- 1.1.2 ψ-Riemann-Liouville Fractional Derivative Operator -- 1.1.3 Hilfer Fractional Derivative Operator -- 1.1.4 ψ-Hilfer Fractional Derivative Operator -- 1.1.5 Hadamard Fractional Derivative Operator -- 1.1.6 Hilfer-Hadamard Fractional Derivative Operator -- 1.1.7 Erdélyi-Kober Fractional Integral Operator -- 1.1.8 Generalized (Katugampola) Fractional Derivative Operator -- 1.1.9 k-Riemann-Liouville Fractional Derivative Operator -- 1.1.10 (k,ψ)-Hilfer Fractional Derivative Operator -- 1.1.11 Proportional Fractional Derivative Operator -- 1.1.12 ψ-Proportional Fractional Derivative Operator -- 1.1.13 Hilfer-Proportional Fractional Derivative Operator -- 1.1.14 ψ-Hilfer-Proportional Fractional Derivative Operator -- 1.2 Fixed Point Theorems -- 2 Coupled Multi-point Fractional Differential Systems -- 2.1 On a Fractional Integro-differential System Involving Riemann-Liouville and Caputo Derivatives with Coupled Multi-point Boundary Conditions -- 2.1.1 Existence Results -- 2.1.2 Uniqueness of Solutions -- 2.2 On a Nonlinear System of Riemann-Liouville Fractional Differential Equations with Semi-coupled Integro-multi-point Boundary Conditions -- 2.2.1 Main Results -- 2.3 Fractional Differential Equations with Nonlocal Integral and Integer-Fractional-Order Neumann-Type Boundary Conditions -- 2.3.1 Existence of Solutions -- 2.3.2 Existence and Uniqueness of Solutions -- 2.4 Existence Results for a Coupled System of Caputo-Type Fractional Integro-differential Equations with Multi-point and Sub-strip Boundary Conditions -- 2.4.1 Existence and Uniqueness Results -- 2.4.2 Examples -- 2.5 Notes and Remarks.
3 Existence Results for Coupled Systems of Caputo-Type Sequential Fractional Differential Equations with Nonlocal Integral Boundary Conditions -- 3.1 A Coupled System of Caputo-Type Sequential Fractional Differential Equations with Nonlocal Integral Boundary Conditions -- 3.1.1 Main Results -- 3.2 On a Coupled System of Sequential Fractional Differential Equations with Variable Coefficients and Coupled Integral Boundary Conditions -- 3.2.1 Main Results -- 3.3 Sequential Riemann-Liouville and Hadamard-Caputo Fractional Differential Systems with Nonlocal Coupled Fractional Integral Boundary Conditions -- 3.3.1 Main Results -- 3.4 Existence Results for Coupled Nonlinear Sequential Fractional Differential Equations with Coupled Riemann-Stieltjes Integro-Multi-Point Boundary Conditions -- 3.4.1 Main Results -- 3.4.2 Examples -- 3.5 A Six-Point Nonlocal Boundary Value Problem of Nonlinear Coupled Sequential Fractional Integro-differential Equations and Coupled Integral Boundary Conditions -- 3.5.1 Existence and Uniqueness Results -- 3.5.2 Example -- 3.6 Notes and Remarks -- 4 A Study of a Nonlinear Coupled System of Three Fractional Differential Equations with Nonlocal Coupled BoundaryConditions -- 4.1 A Study of a Nonlinear Coupled System of Three Fractional Differential Equations with Nonlocal Coupled Boundary Conditions -- 4.1.1 Main Results -- 4.1.2 Examples -- 4.2 Notes and Remarks -- 5 Existence Results for a Nonlocal Coupled System of Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals -- 5.1 A Coupled System of Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals -- 5.1.1 Existence and Uniqueness Results -- 5.1.2 Example -- 5.2 Notes and Remarks -- 6 Existence Results for Coupled Systems of Nonlinear Multi-term Fractional Differential Equations. 6.1 Existence Results for a Coupled System of Nonlinear Multi-term Fractional Differential Equations with Anti-periodic-Type Coupled Nonlocal Boundary Conditions -- 6.1.1 Existence and Uniqueness Results -- 6.1.2 Mixed Nonlinearities Case -- 6.1.3 Examples -- 6.2 Existence Results for a Coupled System of Differential Equations with Multiple Orders of Fractional Derivatives and Integrals -- 6.2.1 Main Results -- 6.3 Notes and Remarks -- 7 Nonlinear Mixed-Order Coupled Fractional Differential Systems -- 7.1 On a Nonlinear Mixed-Order Coupled Fractional Differential System with New Integral Boundary Conditions -- 7.1.1 Main Results -- 7.1.2 Example -- 7.1.3 A Variant Problem -- 7.2 Coupled Nonlinear Fractional Differential Equations of Different Orders with Nonlocal Coupled Boundary Conditions -- 7.2.1 Main Results -- 7.2.2 Examples -- 7.3 Notes and Remarks -- 8 Investigation of Systems of Hilfer-Type Fractional Differential Equations -- 8.1 System of Hilfer-Hadamard Sequential Fractional Differential Equations with Two-Point Boundary Conditions -- 8.1.1 Existence and Uniqueness Results -- 8.1.2 Existence Result via the Leray-Schauder Alternative -- 8.1.3 Existence and Uniqueness Result via Banach's Fixed Point Theorem -- 8.2 On Coupled Systems for Hilfer Fractional Differential Equations with Nonlocal Integral Boundary Conditions -- 8.2.1 Main Results -- 8.3 On a Nonlocal Coupled System of Hilfer Generalized Proportional Fractional Differential Equations -- 8.3.1 Existence and Uniqueness Results -- 8.3.2 Existence Results in Banach Space -- 8.3.3 Examples -- 8.4 Coupled Systems of Hilfer-Type Sequential Fractional Differential Equations with Riemann-Stieltjes Integral Multi-Strip Boundary Conditions -- 8.4.1 A Subsidiary Result -- 8.4.2 Existence and Uniqueness Result via Banach's Fixed-Point Theorem. 8.4.3 Existence Result via the Leray-Schauder Alternative -- 8.4.4 Existence Result via Krasnosel'skiĭ's Fixed-Point Theorem -- 8.4.5 Examples -- 8.5 A Study of Coupled Systems of ψ-Hilfer-Type Sequential Fractional Differential Equations with Integro-Multipoint Boundary Conditions -- 8.5.1 An Auxiliary Result -- 8.5.2 Existence and Uniqueness Results -- 8.5.3 Existence and Uniqueness Result via Banach's Fixed-Point Theorem -- 8.5.4 Existence Result via the Leray-Schauder Alternative -- 8.5.5 Existence Result via Krasnosel'skiĭ's Fixed-Point Theorem -- 8.6 A Nonlocal Boundary Value Problem of Coupled Sequential ψ-Hilfer Fractional Differential Equations -- 8.6.1 Main Results -- 8.7 Nonlocal Coupled Systems for (k,φ)-Hilfer Fractional Differential Equations -- 8.7.1 Existence and Uniqueness Results -- 8.7.2 Existence of a Unique Solution -- 8.7.3 Existence Results -- 8.7.4 Illustrative Examples -- 8.8 On a Nonlinear Coupled System of Differential Equations Involving Hilfer Fractional Derivative and Riemann-Liouville Mixed Operators with Nonlocal Integro-Multipoint Boundary Conditions -- 8.8.1 Existence and Uniqueness Results -- 8.8.2 Examples -- 8.9 Notes and Remarks -- 9 Coupled Systems of Sequential Caputo and Hadamard Fractional Differential Equations with Coupled Separated Boundary Conditions -- 9.1 Coupled Systems of Sequential Caputo and Hadamard Fractional Differential Equations with Coupled Separated Boundary Conditions -- 9.1.1 Main Results -- 9.1.2 Examples -- 9.2 Notes and Remarks -- 10 On Nonlinear Systems of Fractional Langevin Equations with Boundary Conditions -- 10.1 A Nonlinear System of Riemann-Liouville-Type Fractional Langevin Equations with Generalized Nonlocal Fractional Integral Boundary Conditions -- 10.1.1 Main Results -- 10.1.2 Existence Result via Krasnosel'skiĭ's Fixed Point Theorem. 10.1.3 Existence Result via O'Regan's Fixed Point Theorem -- 10.2 Systems of Generalized Sturm-Liouville and Langevin Fractional Differential Equations -- 10.3 Notes and Remarks -- 11 A System of Fractional Differential Equations with Erdélyi-Kober Fractional Integral Conditions -- 11.1 A System of Fractional Differential Equations with Nonlocal Erdélyi-Kober Fractional Integral Conditions -- 11.2 Notes and Remarks -- 12 Positive Solutions for Fractional Differential Systems with Nonlocal Riemann-Liouville Fractional Integral Boundary Conditions -- 12.1 Positive Solutions for Nonlocal Riemann-Liouville Fractional Differential Systems -- 12.2 Notes and Remarks -- 13 A Langevin-Type q-Variant System of Nonlinear Fractional Integro-Difference Equations with Nonlocal BoundaryConditions -- 13.1 A Langevin-Type q-Variant Nonlocal Nonlinear Fractional System -- 13.1.1 Existence and Uniqueness Result -- 13.1.2 Existence Result -- 13.1.3 Examples -- 13.2 Notes and Remarks -- 14 A Coupled System of Nonlinear Fractional q-Integro-Difference Equations with q-Integral Coupled Boundary Conditions -- 14.1 Existence Results for a Coupled System of Nonlinear Fractional q-Integro-Difference Equations with q-Integral Coupled Boundary Conditions -- 14.1.1 Main Results -- 14.2 Notes and Remarks -- References -- Index. |
| Record Nr. | UNINA-9910878049103321 |
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Ahmad Bashir
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| Cham : , : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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