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, H, & BENBACHIR, M (2021). Existence results and Ulam-Hyers stability to impulsive coupled system fractional differential equations. Turkish Journal of Mathematics 45 (3): 1368-1385. https://doi.org/10.3906/mat-2011-85
