Non-Conformable Fractional Laplace Transform
Universidad Politécnica de Cartagena, Espana, FRANCISCO MARTÍNEZ, Pshtiwan Othman Mohammed, Juan E. Nápoles Valdés
Abstract
In this paper we present an extension of Fractional Laplace Transform in the framework of the non-conformable local fractional derivative. Its main properties are studied and it is applied to the resolution of fractional differential equations.
Topics & Concepts
Conformable matrixLaplace transformMathematicsFractional calculusExtension (predicate logic)Inverse Laplace transformTwo-sided Laplace transformLaplace transform applied to differential equationsMathematical analysisDerivative (finance)Applied mathematicsFractional Fourier transformFourier transformComputer sciencePhysicsFinancial economicsEconomicsFourier analysisQuantum mechanicsProgramming languageFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical and Theoretical Analysis