Existence and Uniqueness Results for a Coupled System of Nonlinear Hadamard Fractional Differential Equations

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DOI: https://doi.org/10.28924/2291-8639-22-2024-228
Published: Dec 9, 2024
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Sabbavarapu Nageswara Rao, Existence and Uniqueness Results for a Coupled System of Nonlinear Hadamard Fractional Differential Equations, Int. J. Anal. Appl., 22 (2024), 228.

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Sabbavarapu Nageswara Rao

Abstract

In this paper, we examine the existence and uniqueness of solutions to a system of four-point non-separated Hadamard fractional differential equations. Applying Leray-Schauder’s alternative yields the existence of solutions; Banach’s contraction principle establishes the uniqueness of the solution. Lastly, we provide two examples to demonstrate our results.

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References

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