Existence and Uniqueness of Mittage-Leffler-Ulam Stable Solution for Fractional Integrodifferential Equations with Nonlocal Initial Conditions
Keywords:
Mild solutions, Holder’s inequality, Schauder’s fixed point theorem, The Mittage-Leffler-Ulam stability, Generalized singular Gronwall’s inequalityAbstract
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.Downloads
Published
2015-10-28
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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