Existence of Mild Solution for Impulsive Fractional Differential Equations with Non-local Conditions in Banach Space
نویسندگان
چکیده
منابع مشابه
$L^p$-existence of mild solutions of fractional differential equations in Banach space
We study the existence of mild solutions for semilinear fractional differential equations with nonlocal initial conditions in $L^p([0,1],E)$, where $E$ is a separable Banach space. The main ingredients used in the proof of our results are measure of noncompactness, Darbo and Schauder fixed point theorems. Finally, an application is proved to illustrate the results of this work.
متن کاملExistence 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...
متن کاملExistence 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.
متن کاملImpulsive Fractional Differential Equations in Banach Spaces
This paper is devoted to study the existence of solutions for a class of initial value problems for impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space. The arguments are based upon Mönch’s fixed point theorem and the technique of measures of noncompactness.
متن کاملExistence 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: British Journal of Mathematics & Computer Science
سال: 2014
ISSN: 2231-0851
DOI: 10.9734/bjmcs/2014/7673