Existence of the Mild Solution for Neutral Fractional Integro-differential Equations with Nonlocal Conditions
نویسندگان
چکیده
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 explaining the applicability of the abstract results developed.
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.
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