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

Laboratory of Mathematics, Geometry, Analysis, Control and Applications, Tahar Moulay University of SA¨IDA, P.O. Box 138, en-nasr, 20000 SA¨IDA, Algeria

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

Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-abbes` , P.O. Box 89, Sidi Bel-abbes` 22000, Algeria

Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

University Distinguished Professor, Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore M.D. 21252, USA

* Corresponding Author
Annals of Communications in Mathematics 2019
, 2 (1),
32-47.
https://doi.org/10.62072/acm.2019.020105
Received: |
Accepted: |
Published:

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.

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Cite This Article

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

Annals of Communications in Mathematics,

,
2 (1):
32-47.
https://doi.org/10.62072/acm.2019.020105
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  • Copyright (c) 2023 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/).

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