Baleanu, DumitruOdibat, Zaid2024-01-122025-09-182024-01-122025-09-182023Odibat, Zaid; Baleanu, Dumitru. (2023). "New Solutions of the Fractional Differential Equations With Modified Mittag-Leffler Kernel", Journal Of Computational And Nonlinear Dynamics, Vol.18, no.9.1555-14231555-1415https://doi.org/10.1115/1.4062747https://hdl.handle.net/20.500.12416/14823This paper is concerned with some features of the modified Caputo-type Mittag-Leffler fractional derivative operator and its associated fractional integral operator. Mainly, new types of solutions for fractional differential equations with Mittag-Leffler kernel are generated based on a numerical algorithm developed in this paper. The suggested algorithm is used to describe the solution behavior of models involving modified Caputo-type Mittag-Leffler fractional derivatives. The results described in this paper are expected to be effectively employed in the area of simulating related fractional models.eninfo:eu-repo/semantics/closedAccessCaputo DerivativeMittag-Leffler KernelFractional Differential EquationPredictor-Corrector AlgorithmArticle10.1115/1.40627472-s2.0-85169704225