A fractional derivative with two singular kernels and application to a heat conduction problem
Dumitru Bǎleanu, Mohamed Jleli, Sunil Kumar, Bessem Samet
Abstract
Abstract In this article, we suggest a new notion of fractional derivative involving two singular kernels. Some properties related to this new operator are established and some examples are provided. We also present some applications to fractional differential equations and propose a numerical algorithm based on a Picard iteration for approximating the solutions. Finally, an application to a heat conduction problem is given.
Topics & Concepts
MathematicsFractional calculusDerivative (finance)Partial differential equationThermal conductionOrdinary differential equationHeat equationOperator (biology)Mathematical analysisApplied mathematicsDifferential equationRepressorMaterials scienceFinancial economicsComposite materialTranscription factorEconomicsBiochemistryChemistryGeneFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisIterative Methods for Nonlinear Equations