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    A cotangent fractional Gronwall inequality with applications
    (Amer Inst Mathematical Sciences-Aims, 2024) Sadek, Lakhlifa; Akgul, Ali; Bataineh, Ahmad Sami; Hashim, Ishak
    This article presents the cotangent fractional Gronwall inequality, a novel understanding of the Gronwall inequality within the context of the cotangent fractional derivative. We furnish an explanation of the cotangent fractional derivative and emphasize a selection of its distinct characteristics before delving into the primary findings. We present the cotangent fractional Gronwall inequality (Lemma 3.1) and a Corollary 3.2 using the Mittag-Leffler function, we establish singularity and compute an upper limit employing the Mittag-Leffler function for solutions in a nonlinear delayed cotangent fractional system, illustrating its practical utility. To underscore the real -world relevance of the theory, a tangible instance is given.