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Existence of Mild Solutions for a Class of Impulsive Hilfer Fractional Coupled Systems

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  • Karim Guida
  • Khalid Hilal
  • Lahcen Ibnelazyz

Abstract

The aim of this paper is to give existence results for a class of coupled systems of fractional integrodifferential equations with Hilfer fractional derivative in Banach spaces. We first give some definitions, namely the Hilfer fractional derivative and the Hausdorff’s measure of noncompactness and the Sadovskii’s fixed point theorem.

Suggested Citation

  • Karim Guida & Khalid Hilal & Lahcen Ibnelazyz, 2020. "Existence of Mild Solutions for a Class of Impulsive Hilfer Fractional Coupled Systems," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:8406509
    DOI: 10.1155/2020/8406509
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    References listed on IDEAS

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    1. Wang, JinRong & Zhang, Yuruo, 2015. "Nonlocal initial value problems for differential equations with Hilfer fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 850-859.
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