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Random Coupled Hilfer and Hadamard Fractional Differential Systems in Generalized Banach Spaces

Author

Listed:
  • Saïd Abbas

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

  • Nassir Al Arifi

    (College of Science, Geology and Geophysics Department, King Saud University, Riyadh 11451, Saudi Arabia)

  • Mouffak Benchohra

    (Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
    Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Yong Zhou

    (Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
    Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

Abstract

This article deals with some existence and uniqueness result of random solutions for some coupled systems of Hilfer and Hilfer–Hadamard fractional differential equations with random effects. Some applications are made of generalizations of classical random fixed point theorems on generalized Banach spaces.

Suggested Citation

  • Saïd Abbas & Nassir Al Arifi & Mouffak Benchohra & Yong Zhou, 2019. "Random Coupled Hilfer and Hadamard Fractional Differential Systems in Generalized Banach Spaces," Mathematics, MDPI, vol. 7(3), pages 1-15, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:285-:d:215681
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    References listed on IDEAS

    as
    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.
    2. Abbas, Saïd & Benchohra, Mouffak & Lazreg, Jamal-Eddine & Zhou, Yong, 2017. "A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 47-71.
    3. Saïd Abbas & Mouffak Benchohra & Yong Zhou & Ahmed Alsaedi, 2017. "Weak Solutions for Partial Random Hadamard Fractional Integral Equations with Multiple Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-7, October.
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