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All Journal International Journal of Robotics and Control Systems
Hajaj, Rasha Ibrahim
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Control & Systems Engineering Electrical & Electronics Engineering

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Analytical Investigation of the Existence and Ulam Stability of Integro-Differential Equations with Conformable Derivatives Under Non-Local Conditions Fakhreddine, Seddiki; Hazaymeh, Ayman A; Aljazzazi, Mazin; Qaralleh, Reham; Bataihah, Anwar; Batiha, Iqbal M.; Hajaj, Rasha Ibrahim
International Journal of Robotics and Control Systems Vol 5, No 2 (2025)
Publisher : Association for Scientific Computing Electronics and Engineering (ASCEE)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31763/ijrcs.v5i2.1828

Abstract

This study examines an integro-differential equation involving fractional conformable derivatives and non-local conditions. It proves the existence and uniqueness of mild solutions by applying the Banach fixed-point theorem. Furthermore, it demonstrates a notable result about the existence of at least one solution, backed by conditions based on the Krasnoselskii fixed-point theorem. The investigation also explores the Ulam stability of integro-differential equations. To highlight the practical relevance and robustness of the findings, an illustrative example is provided.
Co-Authors Aljazzazi, Mazin Bataihah, Anwar Batiha, Iqbal M. Fakhreddine, Seddiki Hazaymeh, Ayman A Qaralleh, Reham