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

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.

Authors

Publication Details

Journal
International Journal of Analysis and Applications
Published
2024-10-02
DOI
https://doi.org/10.28924/2291-8639-22-2024-171
Citations
10
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
3.95

Funders

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article

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

Nabil Mlaiki, Gunaseelan Mani, Sarah Aljohani, Karnan Chidhambaram et al.
10 citations
International Journal of Analysis and Applications
Fractional Differential Equations Solutions
3.95
article

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

Nabil Mlaiki, Gunaseelan Mani, Sarah Aljohani, Karnan Chidhambaram, P. Ganesh
article en
10 citations

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.

International Journal of Analysis and ApplicationsVol. 22
Prince Sultan University
Openalex Percentile: Top 6%
Fractional Differential Equations Solutions
3.95
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