On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions
Date
2024
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Article
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American Institute of Mathematical Sciences
Journal Title
On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions
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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. © 2024 the Author(s).
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AIMS Mathematics