Abdeljawad, ThabetAbdeljawad, ThabetJarad, FahdMadjidi, FadilaJarad, FahdSene, Ndolane2024-04-292024-04-292019Abdeljawad, Thabet;...et.al. (2019). "On dynamic systems in the frame of singular function dependent kernel fractional derivatives", Mathematics, Vol.7, No.10.22277390https://hdl.handle.net/20.500.12416/8060In 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.eninfo:eu-repo/semantics/openAccessGeneralized Fractional OperatorsMittag-Leffler BoundMittag-Leffler StabilityArticle71010.3390/math7100946