A Fractional Derivative With Two Singular Kernels and Application To a Heat Conduction Problem
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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.
Description
Kumar, Dr. Sunil/0000-0003-0620-1068
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Keywords
Fractional Derivative, Two Singular Kernels, Picard Iteration, Heat Conduction Problem, Financial economics, Composite material, Fractional Differential Equations, Economics, Heat conduction problem, Operator (biology), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, Picard iteration, Two singular kernels, QA1-939, FOS: Mathematics, Thermal conduction, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Applied Mathematics, Heat equation, Fractional calculus, Partial differential equation, Fractional derivative, Applied mathematics, Materials science, Fractional Derivatives, Chemistry, Modeling and Simulation, Derivative (finance), Physical Sciences, Repressor, Fractional Calculus, Transcription factor, Mathematics, Ordinary differential equation, Fractional derivatives and integrals, Iteration of real functions in one variable, fractional derivative, heat conduction problem, two singular kernels, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Baleanu, Dumitru...et al. (2020). "A fractional derivative with two singular kernels and application to a heat conduction problem", Advances in Difference Equations, Vol. 2020, No. 1.
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40
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2020
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1
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CrossRef : 21
Scopus : 63
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63
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3
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