TY  - GEN
AU  - Stavroulakis,Ioannis
AU  - Jafari,H
AU  - Stavroulakis,Ioannis
AU  - Jafari,H
TI  - New developments in Functional and Fractional Differential Equations and in Lie Symmetry
SN  - books978-3-0365-1159-7
PY  - 2021///
CY  - Basel, Switzerland
PB  - MDPI - Multidisciplinary Digital Publishing Institute
KW  - Research & information: general
KW  - bicssc
KW  - Mathematics & science
KW  - integro-differential systems
KW  - Cauchy matrix
KW  - exponential stability
KW  - distributed control
KW  - delay differential equation
KW  - ordinary differential equation
KW  - asymptotic equivalence
KW  - approximation
KW  - eigenvalue
KW  - oscillation
KW  - variable delay
KW  - deviating argument
KW  - non-monotone argument
KW  - slowly varying function
KW  - Crank-Nicolson scheme
KW  - Shifted Grünwald-Letnikov approximation
KW  - space fractional convection-diffusion model
KW  - variable coefficients
KW  - stability analysis
KW  - Lane-Emden-Klein-Gordon-Fock system with central symmetry
KW  - Noether symmetries
KW  - conservation laws
KW  - differential equations
KW  - non-monotone delays
KW  - fractional calculus
KW  - stochastic heat equation
KW  - additive noise
KW  - chebyshev polynomials of sixth kind
KW  - error estimate
KW  - fractional difference equations
KW  - delay
KW  - impulses
KW  - existence
KW  - fractional Jaulent-Miodek (JM) system
KW  - fractional logistic function method
KW  - symmetry analysis
KW  - lie point symmetry analysis
KW  - approximate conservation laws
KW  - approximate nonlinear self-adjointness
KW  - perturbed fractional differential equations
N1  - Open Access
N2  - 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
UR  - https://mdpi.com/books/pdfview/book/4155
UR  - https://directory.doabooks.org/handle/20.500.12854/76706
ER  -