Stability analysis of time‐fractional differential equations with initial data

Abstract

In this work, we investigate the stability of solution for a class of time‐fractional differential equation with initial data by the help of a fractional Duhamel principle; we use it and the superposition principle to obtain the solution of our problem. We present some theoretical results by some scientific theorems and lemmas.

Uniqueness and Stability Results on Non-local Stochastic Random Impulsive Integro-Differential Equations

“…By regular fluctuations in the deterministic models due to noise which appears to be random, the researchers moved to the stochastic differential equations. There are several articles regarding the study the Stochastic Differential Equations (SDE) [11,12,13,14,15,16,17,18]. Stochastic effects with the impulsive effect exist in evolution processes in the real world phenomena refer [19,20].…”