New Solutions of the Fractional Differential Equations With Modified Mittag-Leffler Kernel
Zaid Odibat, Dumitru Bǎleanu
Abstract
Abstract This 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.
Topics & Concepts
Fractional calculusMittag-Leffler functionMathematicsKernel (algebra)Operator (biology)Type (biology)Applied mathematicsDifferential equationMathematical analysisPure mathematicsChemistryEcologyTranscription factorRepressorBiologyGeneBiochemistryFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods