A New Definition of Fractional Derivatives With Mittag-Leffler Kernel of Two Parameters

Authors

DOI:

https://doi.org/10.26713/cma.v13i1.1689

Keywords:

fractional derivatives, non-local kernel, non-singular kernel, Mittag-Leffler function of two parameters, fractional time Fourier's law equation

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.

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References

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Published

23-05-2022
CITATION

How to Cite

Chinchole, S. M., & Bhadane, A. (2022). A New Definition of Fractional Derivatives With Mittag-Leffler Kernel of Two Parameters. Communications in Mathematics and Applications, 13(1), 19–26. https://doi.org/10.26713/cma.v13i1.1689

Issue

Vol. 13 No. 1 (2022)

Section

Research Article

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