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Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions
Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, China
Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, China
Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, China
- 1 Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, China
- 2 Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, China
- 3 Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, China
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Abstract
In this article, by using Schaefer fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for a class of impulsive integro-differential equations with nonlocal conditions involving the Caputo fractional derivative.
KeywordsCaputo Fractional DerivativeImpulsesNonlocal ConditionsExistenceUniquenessFixed Point
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