Explore
New developments in Functional and Fractional Differential Equations and in Lie Symmetry
0 Ungluers have
Faved this Work
Login to Fave
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.
This book is included in DOAB.
Why read this book? Have your say.
You must be logged in to comment.
Rights Information
Are you the author or publisher of this work? If so, you can claim it as yours by registering as an Unglue.it rights holder.Downloads
This work has been downloaded 63 times via unglue.it ebook links.
- 63 - pdf (CC BY) at Unglue.it.
Keywords
- additive noise
- approximate conservation laws
- approximate nonlinear self-adjointness
- approximation
- asymptotic equivalence
- Cauchy matrix
- chebyshev polynomials of sixth kind
- conservation laws
- Crank–Nicolson scheme
- Delay
- delay differential equation
- deviating argument
- Differential equations
- distributed control
- eigenvalue
- error estimate
- existence
- exponential stability
- Fractional calculus
- fractional difference equations
- fractional Jaulent-Miodek (JM) system
- fractional logistic function method
- impulses
- integro–differential systems
- Lane-Emden-Klein-Gordon-Fock system with central symmetry
- lie point symmetry analysis
- Mathematics & science
- Noether symmetries
- non-monotone argument
- non-monotone delays
- ordinary differential equation
- oscillation
- perturbed fractional differential equations
- Reference, information & interdisciplinary subjects
- Research & information: general
- Shifted Grünwald–Letnikov approximation
- slowly varying function
- space fractional convection-diffusion model
- stability analysis
- stochastic heat equation
- symmetry analysis
- variable coefficients
- variable delay
Links
DOI: 10.3390/books978-3-0365-1159-7Editions