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Caputo-Hadamard Fractional Differential Equations in Banach Spaces

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Abstract

This article deals with some existence results for a class of Caputo–Hadamard fractional differential equations. The results are based on the Mönch’s fixed point theorem associated with the technique of measure of noncompactness. Two illustrative examples are presented.

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Authors and Affiliations

  1. Laboratory of Mathematics, Geometry, Analysis, Control and Applications Tahar Moulay University of Saïda, P.O. Box 138, EN-Nasr, 20000, Saïda, Algeria

    Saïd Abbas

  2. Laboratory of Mathematics Djillali, Liabes University of Sidi Bel-Abbes, P.O. Box 89, Sidi Bel-Abbès, 22000, Algeria

    Mouffak Benchohra & Naima Hamidi

  3. Department of Mathematics, Baylor University Waco, Waco, Texas, 76798-7328, USA

    Johnny Henderson

Authors
  1. Saïd Abbas
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  2. Mouffak Benchohra
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  3. Naima Hamidi
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  4. Johnny Henderson
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Correspondence to Saïd Abbas.

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Abbas, S., Benchohra, M., Hamidi, N. et al. Caputo-Hadamard Fractional Differential Equations in Banach Spaces. FCAA 21, 1027–1045 (2018). https://doi.org/10.1515/fca-2018-0056

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