Existence and Uniqueness Results for Tripled Systems Involving Sequential Caputo Fractional Derivatives

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DOI: https://doi.org/10.28924/2291-8639-24-2026-259
Published: Aug 24, 2026
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Hasanen A. Hammad, Habeeb Ibrahim, Existence and Uniqueness Results for Tripled Systems Involving Sequential Caputo Fractional Derivatives, Int. J. Anal. Appl., 24 (2026), 259.

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Hasanen A. Hammad, Habeeb Ibrahim

Abstract

In this manuscript, we investigated a tripled system governed by nonlinear equations involving sequential Caputo fractional derivatives. These derivatives provide a generalized framework that describes memory and nonlocal effects more effectively than classical differential operators. The main contributions of this work included establishing existence and uniqueness results for the considered system and studying a class of triple equations. The proposed approach demonstrated the efficiency of fractional techniques in extending classical analytical methods. Moreover, an illustrative example was presented to confirm the applicability of the obtained results.

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