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

## 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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*Communications in Mathematics and Applications*,

*13*(1), 19–26. https://doi.org/10.26713/cma.v13i1.1689

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