Existence of mild solution for impulsive stochastic differential equations with nonlocal conditions

Existence of Mild Solution for Impulsive Stochastic Differential Equations with Nonlocal Conditions

This paper is concerned with the existence of mild solution for impulsive stochastic differential equations with nonlocal conditions in PC -norm. Our approach is based on Krasnoselskii fixed point theorem. Mathematics subject classification (2010): 34K50, 60H15.

Existence of a Mild Solution for Impulsive Neutral Fractional Differential Equations with Nonlocal Conditions

In the present work, we investigate the existence of a mild solution of the fractional order differential equation with impulsive conditions in a Banach space. We establish the existence of a mild solution by using some fixed point theorems and resolvent operator theory. We present an example for showing the effectiveness of the main theory. Mathematics subject classification (2010): 34K37, 34K...

Existence of the Mild Solution for Neutral Fractional Integro-differential Equations with Nonlocal Conditions

Abstract: This paper studies the existence of the mild solution for the neutral fractional integro-differential equation with nonlocal initial conditions in a Banach space. We obtain the sufficient condition for the existence results via fixed point theorem and approximate technique without assuming noncompactness or Lipschitz continuity of the nonlocal functions. We give an example for explain...

Impulsive Functional-differential Equations with Nonlocal Conditions

Existence of Global Solutions for Impulsive Functional Differential Equations with Nonlocal Conditions

In this paper, we study the existence of global solutions for a class of impulsive abstract functional differential equation with nonlocal conditions. The results are obtained by using the Leray-Schauder alternative fixed point theorem. An example is provided to illustrate the theory.