A New Definition of Fractional Derivatives With Mittag-Leffler Kernel of Two Parameters
S. M. Chinchole, Ashok Bhadane
Abstract
In this paper, a new fractional derivative with Mittag-Leffler kernel of two parameters is proposed. Several functional properties of this derivative are explained and applied to solve the fractional time Fourier’s law equation.
Topics & Concepts
MathematicsFractional calculusKernel (algebra)Mittag-Leffler functionDerivative (finance)Applied mathematicsPure mathematicsFourier transformMathematical analysisEconomicsFinancial economicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical and Theoretical Analysis