ON AN EXTENSION OF THE OPERATOR WITH MITTAG-LEFFLER KERNEL
Mohammed Al-Refai, Dumitru Bǎleanu
Abstract
Dealing with nonsingular kernels is not an easy task due to their restrictions at origin. In this short paper, we suggest an extension of the fractional operator involving the Mittag-Leffler kernel which admits integrable singular kernel at the origin. New solutions of the related differential equations were reported together with some perspectives from the modelling viewpoint.
Topics & Concepts
Extension (predicate logic)Kernel (algebra)MathematicsInvertible matrixOperator (biology)Integrable systemPure mathematicsTask (project management)Applied mathematicsAlgebra over a fieldComputer scienceEconomicsManagementRepressorProgramming languageChemistryBiochemistryTranscription factorGeneFractional Differential Equations SolutionsNumerical methods in engineeringIterative Methods for Nonlinear Equations