On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions

Abstract

All authors Fractional Hahn differences and fractional Hahn integrals have various applications in fields where discrete fractional calculus plays a significant role, such as in discrete biological modeling and signal processing to handle systems with memory effects. In this study, the existence and uniqueness of solutions for a Riemann-Liouville fractional Hahn integrodifference equation with nonlocal fractional Hahn integral boundary conditions are investigated. To establish these results, we apply the Banach and Schauder fixed-point theorems. Furthermore, the Hyers-Ulam stability of solutions is studied.

Keywords

• fractional hahn integral
• riemann-liouville fractional hahn difference
• boundary value problems
• existence
• hyers-ulam stability