Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative
A. George Maria Selvam, S. Sabarinathan, Samad Noeiaghdam, Vediyappan Govindan
Abstract
In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform. Finally, we provide an enumeration of the chemical reactions of the differential equation.
Topics & Concepts
Fractional calculusMathematicsStability (learning theory)Fourier transformMathematical analysisType (biology)Derivative (finance)Differential equationOrder (exchange)Applied mathematicsMittag-Leffler functionFractional Fourier transformFourier analysisComputer scienceEcologyBiologyEconomicsFinancial economicsFinanceMachine learningFunctional Equations Stability ResultsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis