Existence and Uniqueness of Mittage-Leffler-Ulam Stable Solution for Fractional Integrodifferential Equations with Nonlocal Initial Conditions

Authors

  • Mohamed I. Abbas Department of Mathematics and Computer Science Faculty of Science Alexandria University

Keywords:

Mild solutions, Holder’s inequality, Schauder’s fixed point theorem, The Mittage-Leffler-Ulam stability, Generalized singular Gronwall’s inequality

Abstract

In this paper, the existence and uniqueness of mild solution for fractional integrodifferential equations with nonlocal initial conditions are investigated by using Holder’s inequality, p−mean continuity and Schauder’s fixed point theorem in Banach spaces. The Mittage-Leffler-Ulam stability results are also obtained by using generalized singular Gronwall’s inequality.

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Published

2015-10-28

Issue

Vol. 8 No. 4: (October 2015)

Section

Differential Equations

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How to Cite

Existence and Uniqueness of Mittage-Leffler-Ulam Stable Solution for Fractional Integrodifferential Equations with Nonlocal Initial Conditions. (2015). European Journal of Pure and Applied Mathematics, 8(4), 478-498. https://www.ejpam.com/index.php/ejpam/article/view/2465