Investigating a Coupled System of Mittag-Leffler Type Fractional Differential Equations with Coupled Integral Boundary Conditions

Authors

  • Shafi Ullah Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000, KPK, Pakistan Author

DOI:

https://doi.org/10.56868/jmtm.v1i2.33

Keywords:

ABC Derivative, U-H Stability, Krasnoselskii’s Fixed Theorem

Abstract

In this work, A coupled system with Atangana Baleanu Caputo (ABC)−derivative under coupled

integral boundary conditions is examined. The study aims to develop necessary and sufficient conditions

for the existence and uniqueness of solution of the considered problem. In this connection,

results for a minimum of one solution are obtained through the employment of Krasnoselskii’s fixed

point theorem. The Ulam-Hyers (U-H) concept is used to establish stability-related results. Finally,

an example is given to illustrate the application of our found results.

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Published

2024-10-20

Issue

Vol. 1 No. 2 (2024): In Progress

Section

Articles

License

Copyright (c) 2024 Shafi Ullah (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Ullah, S. (2024). Investigating a Coupled System of Mittag-Leffler Type Fractional Differential Equations with Coupled Integral Boundary Conditions. Journal of Mathematical Techniques in Modeling, 1(2), 16-28. https://doi.org/10.56868/jmtm.v1i2.33