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Existence of periodic solutions for nonlinear implicit Hadamard’s fractional differential equations

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Abstract

In this paper, by applying the coincidence degree theory which was first introduced by Mawhin, we obtain an existence result for a class of problem for nonlinear implicit fractional differential equations (IFDE for short) with Hadamard fractional derivative. We present two examples to show the applicability of our results.

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Authors and Affiliations

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

    Mouffak Benchohra & Soufyane Bouriah

  2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, Spain

    Juan J. Nieto

Authors
  1. Mouffak Benchohra
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  2. Soufyane Bouriah
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  3. Juan J. Nieto
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Correspondence to Mouffak Benchohra.

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Benchohra, M., Bouriah, S. & Nieto, J.J. Existence of periodic solutions for nonlinear implicit Hadamard’s fractional differential equations. RACSAM 112, 25–35 (2018). https://doi.org/10.1007/s13398-016-0359-2

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  • DOI: https://doi.org/10.1007/s13398-016-0359-2

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