Turkish Journal of Mathematics
Abstract
In this paper, the existence and uniqueness of the solutions to impulsive coupled system of fractional differential equations with Caputo--Hadamard are investigated. Furthermore, Ulam's type stability of the proposed coupled system is studied. The approach is based on a Perov type fixed point theorem for contractions.
DOI
10.3906/mat-2011-85
Keywords
Fractional differential equations, Caputo-adamard derivative, fixed point theorems, coupled system, Ulam stability, convergent matrix
First Page
1368
Last Page
1385
Recommended Citation
BELBALI, HADJER and BENBACHIR, MAAMAR
(2021)
"Existence results and Ulam-Hyers stability to impulsive coupled system fractional differential equations,"
Turkish Journal of Mathematics: Vol. 45:
No.
3, Article 18.
https://doi.org/10.3906/mat-2011-85
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss3/18
