{"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\u003e • Author(s): Ioannis Stavroulakis\u003cbr\u003e • Publisher: Mdpi AG\u003cbr\u003e • Publisher Imprint: Mdpi AG\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\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","brand":"Mdpi AG","offers":[{"title":"Hardcover","offer_id":45414441648279,"sku":"9783036511580","price":4155.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783036511580.webp?v=1767920250","url":"https:\/\/atlanticbooks.com\/products\/new-developments-in-functional-and-fractional-differential-equations-and-in-lie-symmetry-9783036511580","provider":"Atlantic Books","version":"1.0","type":"link"}