학술논문

Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditions
Document Type
article
Source
Results in Control and Optimization, Vol 12, Iss , Pp 100278- (2023)
Subject
Fractional differential equations
Hilfer and Erdélyi–kober fractional operators
Fractional integral boundary conditions
Delay functions
Banach contraction principle
Krasnosellki’s fixed point theorem
Applied mathematics. Quantitative methods
T57-57.97
Language
English
ISSN
2666-7207
Abstract
The primary focus of this article is to provide sufficient conditions for the Ulam–Hyers stability of neutral delay fractional differential equations involving Hilfer fractional derivatives and Erdelyi–Kober fractional integral boundary conditions. The fixed point approach is utilized to prove the existence and uniqueness of mild solutions for the proposed problem. In the end, the derived results are validated through an illustrative example.