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Browsing by Author "Sene, Ndolane"

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    On dynamic systems in the frame of singular function dependent kernel fractional derivatives
    (Mdpi, 2019) Abdeljawad, Thabet; Abdeljawad, Thabet; Madjidi, Fadila; Jarad, Fahd; Jarad, Fahd; Sene, Ndolane; 234808
    In this article, we discuss the existence and uniqueness theorem for differential equations in the frame of Caputo fractional derivatives with a singular function dependent kernel. We discuss the Mittag-Leffler bounds of these solutions. Using successive approximation, we find a formula for the solution of a special case. Then, using a modified Laplace transform and the Lyapunov direct method, we prove the Mittag-Leffler stability of the considered system.