TY - JOUR
T1 - Impulsive Coupled System of Fractional Differential Equations with Caputo-Katugampola Fuzzy Fractional Derivative
AU - Sajedi, Leila
AU - Eghbali, Nasrin
AU - Aydi, Hassen
N1 - Publisher Copyright:
© 2021 Leila Sajedi et al.
PY - 2021
Y1 - 2021
N2 - In this article, we investigate the existence, uniqueness, and different kinds of Ulam-Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo-Katugampola fuzzy fractional derivative. We applied the Perov-type fixed point theorem to prove the existence and uniqueness of the proposed system. Furthermore, the Ulam-Hyers-Rassias stability and Ulam-Hyers-Rassias-Mittag-Leffler's stability results for the given system are discussed.
AB - In this article, we investigate the existence, uniqueness, and different kinds of Ulam-Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo-Katugampola fuzzy fractional derivative. We applied the Perov-type fixed point theorem to prove the existence and uniqueness of the proposed system. Furthermore, the Ulam-Hyers-Rassias stability and Ulam-Hyers-Rassias-Mittag-Leffler's stability results for the given system are discussed.
UR - http://www.scopus.com/inward/record.url?scp=85118386024&partnerID=8YFLogxK
U2 - 10.1155/2021/7275934
DO - 10.1155/2021/7275934
M3 - Article
AN - SCOPUS:85118386024
SN - 2314-4629
VL - 2021
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 7275934
ER -