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Mathematics 2019, 7(3), 285; https://doi.org/10.3390/math7030285

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

1
Laboratory of Mathematics, Geometry, Analysis, Control and Applications, Tahar Moulay University of Saïda, P.O. Box 138, EN-Nasr, Saïda 20000, Algeria
2
College of Science, Geology and Geophysics Department, King Saud University, Riyadh 11451, Saudi Arabia
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Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
4
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
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Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 30 January 2019 / Revised: 12 March 2019 / Accepted: 15 March 2019 / Published: 20 March 2019
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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. View Full-Text
Keywords: fractional differential systems; mixed Riemann–Liouville integral; mixed Hadamard integral; Hilfer derivative; Hadamard derivative; coupled system; random solution fractional differential systems; mixed Riemann–Liouville integral; mixed Hadamard integral; Hilfer derivative; Hadamard derivative; coupled system; random solution
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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MDPI and ACS Style

Abbas, S.; Arifi, N.A.; Benchohra, M.; Zhou, Y. Random Coupled Hilfer and Hadamard Fractional Differential Systems in Generalized Banach Spaces. Mathematics 2019, 7, 285.

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