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Initial Value Problem of Fractional Integro-Differential Equations in Banach Space

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Abstract

This paper is devoted to study the existence of solutions of nonlinear fractional integro-differential equation, via the techniques of measure of noncompactness. The investigation is based on a Schauder’s fixed point theorem. The main result is less restrictive than those given in the literature. An illustrative example is given.

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Authors and Affiliations

  1. Department of Mathematics Bizerte Preparatory Engineering Institute, Carthage University, BP 64–7021, Zarzouna (Bizerte), Tunisia

    Adel Jawahdou

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  1. Adel Jawahdou
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Jawahdou, A. Initial Value Problem of Fractional Integro-Differential Equations in Banach Space. FCAA 18, 20–37 (2015). https://doi.org/10.1515/fca-2015-0003

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  • DOI: https://doi.org/10.1515/fca-2015-0003

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