Results 81 to 90 of about 600,406 (168)
The 𝑒-positive mild solutions for fractional impulsive evolution equations with 1 < 𝛼 < 2
CQD Revista Eletrônica Paulista de Matemática, 2022 In this paper, we investigate the existence of global 𝑒-positive mild solutions for impulsive evolution fractional differential equation in the Caputo sense of order 1 < 𝛼 < 2.
Jorge Féres Junior +2 more
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Discrete Gronwall's inequality for Ulam stability of delay fractional difference equations
Mathematical Modelling and AnalysisThis paper investigates Ulam stability of delay fractional difference equations. First, a useful equality of double fractional sums is employed and discrete Gronwall’s inequality of delay type is provided. A delay discrete-time Mittag-Leffler function is
Shu-Yu Yang, Guo-Cheng Wu
semanticscholar +1 more source
Boundary Value Problems, 2009 By employing the contraction mapping principle and applying Gronwall-Bellman's inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solution for nonlinear impulsive delay model of ...
Nieto JJ, Stamov GTr, Alzabut JO
doaj
A Nonlinear Generalizations of Dynamic Inequalities on Time Scales
Ratio MathematicaConsidering the distinctive generalization of the Gronwall-Bellman inequality, in this paper we innovates new dynamical inequalities on time scale. These inequalities will be acted a profound tools for studying qualitative properties such as uniqueness ...
Vikas Sopan Jadhav +3 more
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Numerical study of ergodicity for the overdamped Generalized Langevin Equation with fractional noise
, 2018 The Generalized Langevin Equation, in history, arises as a natural fix for the rather traditional Langevin equation when the random force is no longer memoryless.
Fang, Di, Li, Lei
core
Impulsive Problems for Fractional Differential Equations with Nonlocal Boundary Value Conditions
Abstract and Applied Analysis, 2014 We investigate the nonlocal boundary value problems of impulsive fractional differential equations. By Banach’s contraction mapping principle, Schaefer’s fixed point theorem, and the nonlinear alternative of Leray-Schauder type, some related new ...
Peiluan Li, Youlin Shang
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Some basic theorems on difference-differential equations
Electronic Journal of Differential Equations, 2008 In this paper some basic theorems on the existence, uniqueness and continuous dependence of solutions of a certain difference-differential equation are established.
Baburao G. Pachpatte
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L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]
Commun Appl Math Comput, 2023 Wang Z.
europepmc +1 more source
Pulsating fronts for bistable on average reaction-diffusion equations in a time periodic environment
, 2015 This paper is devoted to reaction-diffusion equations with bistable nonlinearities depending periodically on time. These equations admit two linearly stable states. However, the reaction terms may not be bistable at every time.
Contri, Benjamin
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Dynamics of Fractional Delayed Reaction-Diffusion Equations. [PDF]
Entropy (Basel), 2023 Liu L, Nieto JJ.
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