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Random coupled Caputo-Hadamard fractional differential systems with four- point boundary conditions in generalized banach spaces

Said Abbas²

Nassir Al Arifi³⁴

Mouffak Benchohra⁵

Gaston M. N’Guerekata*^,⁵

1Laboratory of Mathematics, Geometry, Analysis, Control and Applications, Tahar Moulay University of SA¨IDA, P.O. Box 138, en-nasr, 20000 SA¨IDA, Algeria2College of Science, Geology and Geophysics Department, King Saud University, Riyadh 11451, Saudi Arabia3Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-abbes` , P.O. Box 89, Sidi Bel-abbes` 22000, Algeria4Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia5University Distinguished Professor, Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore M.D. 21252, USA

* Corresponding Author: Gaston M. N’Guerekata. Email: Guerekata@morgan.edu

Annals of Communications in Mathematics 2019, 2 (1), 32-47. https://doi.org/10.62072/acm.2019.020105

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Abstract

This paper deals with some existence and uniqueness of random solutions for a coupled system of Caputo–Hadamard fractional differential equations with four-point boundary conditions and random effects in generalized Banach spaces. Some applications are made of generalizations of classical random fixed point theorems on generalized Banach spaces. An illustrative example is presented in the last section.

Keywords

Caputo–Hadamard fractional derivative; coupled system; Fixed point; generalized Banach space; mixed Hadamard integral of fractional order; random solution

Cite This Article

random solution, Said Abbas, Nassir Al Arifi, Mouffak Benchohra, Gaston M. N’Guerekata.

Random coupled Caputo-Hadamard fractional differential systems with four- point boundary conditions in generalized banach spaces.

Annals of Communications in Mathematics

2019,

2 (1):

32-47.

https://doi.org/10.62072/acm.2019.020105

Copyright © 2019 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).