New developments in Functional and Fractional Differential Equations and in Lie Symmetry
Material type:![Article](/opac-tmpl/lib/famfamfam/AR.png)
- books978-3-0365-1159-7
- 9783036511580
- 9783036511597
- Research & information: general
- Mathematics & science
- integro-differential systems
- Cauchy matrix
- exponential stability
- distributed control
- delay differential equation
- ordinary differential equation
- asymptotic equivalence
- approximation
- eigenvalue
- oscillation
- variable delay
- deviating argument
- non-monotone argument
- slowly varying function
- Crank-Nicolson scheme
- Shifted Grünwald-Letnikov approximation
- space fractional convection-diffusion model
- variable coefficients
- stability analysis
- Lane-Emden-Klein-Gordon-Fock system with central symmetry
- Noether symmetries
- conservation laws
- differential equations
- non-monotone delays
- fractional calculus
- stochastic heat equation
- additive noise
- chebyshev polynomials of sixth kind
- error estimate
- fractional difference equations
- delay
- impulses
- existence
- fractional Jaulent-Miodek (JM) system
- fractional logistic function method
- symmetry analysis
- lie point symmetry analysis
- approximate conservation laws
- approximate nonlinear self-adjointness
- perturbed fractional differential equations
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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.
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