Existence and Uniqueness Solutions of Multi-Term Delay Caputo Fractional Differential Equations

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DOI: https://doi.org/10.28924/2291-8639-22-2024-171
Published: Oct 2, 2024
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Gunaseelan Mani, Purushothaman Ganesh, Karnan Chidhambaram, Sarah Aljohani, Nabil Mlaiki, Existence and Uniqueness Solutions of Multi-Term Delay Caputo Fractional Differential Equations, Int. J. Anal. Appl., 22 (2024), 171.

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Gunaseelan Mani, Purushothaman Ganesh, Karnan Chidhambaram, Sarah Aljohani, Nabil Mlaiki

Abstract

This study investigates a novel type of nonlocal boundary value problem with multipoint-integral boundaries and multi-term delay Caputo fractional differential equations (FDE). The provided problem is turned into an analogous fixed-point problem using fixed-point (F P) theory tools. Additionally, discussing about stability, in Ulam-Hyers-Rassias (UHR), Ulam-Hyers (UH), generalized Ulam-Hyers-Rassias (GUHR) and generalized Ulam-Hyers (GUH) stability, for finding the problem. Based on our obtained results we given some examples. As of our obtained results are very useful to multi-term caputo FDE related to hydrodynamics.

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