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

Saïd Abbas, Nassir Al Arifi, Mouffak Benchohra and Yong Zhou
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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
Yong Zhou: Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Mathematics, 2019, vol. 7, issue 3, 1-15

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.

Keywords: fractional differential systems; mixed Riemann–Liouville integral; mixed Hadamard integral; Hilfer derivative; Hadamard derivative; coupled system; random solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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