{"product_id":"new-developments-in-functional-and-fractional-differential-equations-and-in-lie-symmetry-9783036511580","title":"New Developments in Functional and Fractional Differential Equations and in Lie Symmetry","description":"\u003cp\u003eDelay, 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: \u003c\/p\u003e\u003cp\u003eSeveral oscillation conditions for a first-order linear differential equation with non-monotone delay are established in \u003cem\u003eOscillation Criteria for First Order Differential Equations with Non-Monotone Delays\u003c\/em\u003e, whereas a sharp oscillation criterion using the notion of slowly varying functions is established in \u003cem\u003eA Sharp Oscillation Criterion for a Linear Differential Equation with Variable Delay\u003c\/em\u003e. The approximation of a linear autonomous differential equation with a small delay is considered in \u003cem\u003eApproximation of a Linear Autonomous Differential Equation with Small Delay\u003c\/em\u003e; the model of infection diseases by Marchuk is studied in \u003cem\u003eAround the Model of Infection Disease: The Cauchy Matrix and Its Properties\u003c\/em\u003e. \u003c\/p\u003e\u003cp\u003eExact solutions to fractional-order Fokker-Planck equations are presented in \u003cem\u003eNew Exact Solutions and Conservation Laws to the Fractional-Order Fokker-Planck Equations\u003c\/em\u003e, and a spectral collocation approach to solving a class of time-fractional stochastic heat equations driven by Brownian motion is constructed in \u003cem\u003eA Collocation Approach for Solving Time-Fractional Stochastic Heat Equation Driven by an Additive Noise\u003c\/em\u003e. A finite difference approximation method for a space fractional convection-diffusion model with variable coefficients is proposed in \u003cem\u003eFinite Difference Approximation Method for a Space Fractional Convection-Diffusion Equation with Variable Coefficients\u003c\/em\u003e; existence results for a nonlinear fractional difference equation with delay and impulses are established in \u003cem\u003eOn Nonlinear Fractional Difference Equation with Delay and Impulses\u003c\/em\u003e. \u003c\/p\u003e\u003cp\u003eA complete Noether symmetry analysis of a generalized coupled Lane-Emden-Klein-Gordon-Fock system with central symmetry is provided in \u003cem\u003eOscillation Criteria for First Order Differential Equations with Non-Monotone Delays\u003c\/em\u003e, and new soliton solutions of a fractional Jaulent soliton Miodek system via symmetry analysis are presented in \u003cem\u003eNew Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis.\u003c\/em\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Mdpi AG\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/17\/2021\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9783036511580\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 156\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.19lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.61h x 6.69w x 0.56d","brand":"Ioannis Stavroulakis","offers":[{"title":"Default Title","offer_id":52197257937077,"sku":"9783036511580","price":47.09,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/files\/img_b12f27c0-3e49-42dc-bfa9-6c8a88705961.jpg?v=1769622820","url":"https:\/\/pastforward.org\/products\/new-developments-in-functional-and-fractional-differential-equations-and-in-lie-symmetry-9783036511580","provider":"Past Forward","version":"1.0","type":"link"}