Turkish Journal of Mathematics
Abstract
This research article deals with novel two species of initial value problems, one of them, the fractional neutral functional integrodifferential equations, and the other one, the coupled system of fractional neutral functional integrodifferential equations, with finite delay and involving a $\psi$-Caputo fractional operator. The existence and uniqueness results are studied through Banach's contraction principle and Krasnoselskii's fixed point theorem. We also establish two various kinds of Ulam stability results for the proposed problems. Further, two pertinent examples are presented to demonstrate the reported results.
DOI
10.3906/mat-2010-9
Keywords
Delay fractional differential equations, $\psi$-Caputo fractional derivative, existence and stability theory, coupled system, neutral, fixed point theorem
First Page
2380
Last Page
2401
Recommended Citation
BOUTIARA, ABDELLATIF; ABDO, MOHAMED S.; and BENBACHIR, MAAMAR
(2020)
"Existence results for $\psi $-Caputo fractional neutral functional integro-differential equations with finite delay,"
Turkish Journal of Mathematics: Vol. 44:
No.
6, Article 29.
https://doi.org/10.3906/mat-2010-9
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss6/29
