Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditions

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.

Keywords

• Fractional differential equations
• Hilfer and Erdélyi–kober fractional operators
• Fractional integral boundary conditions
• Delay functions
• Banach contraction principle
• Krasnosellki’s fixed point theorem