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ON IMPULSIVE IMPLICIT RIESZ-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH RETARDATION AND ANTICIPATION IN BANACH SPACES.

Authors :
Rahou, Wafaa
Salim, Abdelkrim
Benchohra, Mouffak
Lazreg, Jamal Eddine
Source :
Facta Universitatis, Series: Mathematics & Informatics; 2023, Vol. 38 Issue 3, p535-558, 24p
Publication Year :
2023

Abstract

In this paper, we investigate the existence and Ulam stability results for a class of boundary value problems for implicit Riesz-Caputo fractional differential equations with non-instantaneous impulses involving both retarded and advanced arguments. The result are based on Monch fixed point theorem associated with the technique of measure of noncompactness. An illustrative example is given to validate our main results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03529665
Volume :
38
Issue :
3
Database :
Complementary Index
Journal :
Facta Universitatis, Series: Mathematics & Informatics
Publication Type :
Academic Journal
Accession number :
174855345
Full Text :
https://doi.org/10.22190/FUMI221202035R