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Random Solutions for Generalized Caputo Periodic and Non-Local Boundary Value Problems.

Authors :
Ahmad, Bashir
Boumaaza, Mokhtar
Salim, Abdelkrim
Benchohra, Mouffak
Source :
Foundations (2673-9321); Jun2023, Vol. 3 Issue 2, p275-289, 15p
Publication Year :
2023

Abstract

In this article, we present some results on the existence and uniqueness of random solutions to a non-linear implicit fractional differential equation involving the generalized Caputo fractional derivative operator and supplemented with non-local and periodic boundary conditions. We make use of the fixed point theorems due to Banach and Krasnoselskii to derive the desired results. Examples illustrating the obtained results are also presented. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
26739321
Volume :
3
Issue :
2
Database :
Complementary Index
Journal :
Foundations (2673-9321)
Publication Type :
Academic Journal
Accession number :
164647612
Full Text :
https://doi.org/10.3390/foundations3020022