05163nam 2200865z- 450 991055755180332120220111(CKB)5400000000044088(oapen)https://directory.doabooks.org/handle/20.500.12854/76706(oapen)doab76706(EXLCZ)99540000000004408820202201d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierNew developments in Functional and Fractional Differential Equations and in Lie SymmetryBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 online resource (155 p.)3-0365-1158-X 3-0365-1159-8 Delay, difference, functional, fractional, and partial differential equations have many applications in science and engineering. In this Special Issue, 29 experts co-authored 10 papers dealing with these subjects. A summary of the main points of these papers follows:Several oscillation conditions for a first-order linear differential equation with non-monotone delay are established in Oscillation Criteria for First Order Differential Equations with Non-Monotone Delays, whereas a sharp oscillation criterion using the notion of slowly varying functions is established in A Sharp Oscillation Criterion for a Linear Differential Equation with Variable Delay. The approximation of a linear autonomous differential equation with a small delay is considered in Approximation of a Linear Autonomous Differential Equation with Small Delay; the model of infection diseases by Marchuk is studied in Around the Model of Infection Disease: The Cauchy Matrix and Its Properties. Exact solutions to fractional-order Fokker-Planck equations are presented in New Exact Solutions and Conservation Laws to the Fractional-Order Fokker-Planck Equations, and a spectral collocation approach to solving a class of time-fractional stochastic heat equations driven by Brownian motion is constructed in A Collocation Approach for Solving Time-Fractional Stochastic Heat Equation Driven by an Additive Noise. A finite difference approximation method for a space fractional convection-diffusion model with variable coefficients is proposed in Finite Difference Approximation Method for a Space Fractional Convection-Diffusion Equation with Variable Coefficients; existence results for a nonlinear fractional difference equation with delay and impulses are established in On Nonlinear Fractional Difference Equation with Delay and Impulses. A complete Noether symmetry analysis of a generalized coupled Lane-Emden-Klein-Gordon-Fock system with central symmetry is provided in Oscillation Criteria for First Order Differential Equations with Non-Monotone Delays, and new soliton solutions of a fractional Jaulent soliton Miodek system via symmetry analysis are presented in New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis.Mathematics & sciencebicsscResearch & information: generalbicsscadditive noiseapproximate conservation lawsapproximate nonlinear self-adjointnessapproximationasymptotic equivalenceCauchy matrixchebyshev polynomials of sixth kindconservation lawsCrank-Nicolson schemedelaydelay differential equationdeviating argumentdifferential equationsdistributed controleigenvalueerror estimateexistenceexponential stabilityfractional calculusfractional difference equationsfractional Jaulent-Miodek (JM) systemfractional logistic function methodimpulsesintegro-differential systemsLane-Emden-Klein-Gordon-Fock system with central symmetrylie point symmetry analysisNoether symmetriesnon-monotone argumentnon-monotone delaysordinary differential equationoscillationperturbed fractional differential equationsShifted Grünwald-Letnikov approximationslowly varying functionspace fractional convection-diffusion modelstability analysisstochastic heat equationsymmetry analysisvariable coefficientsvariable delayMathematics & scienceResearch & information: generalStavroulakis Ioannisedt1323475Jafari HedtStavroulakis IoannisothJafari HothBOOK9910557551803321New developments in Functional and Fractional Differential Equations and in Lie Symmetry3035598UNINA