A New Integral Transform With Applications to Fractional Calculus

S. M. Chinchole

doi:10.26713/cma.v13i3.1830

Authors

S. M. Chinchole Department of Mathematics, Mahatma Gandhi Vidyamandir’s Arts, Science and Commerce College, Manmad, India https://orcid.org/0000-0003-1670-4814 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v13i3.1830

Keywords:

Mittag-Leffler function, Integral transform, Laplace transform, Fractional derivative

Abstract

In this paper, an integral transform with the kernel being the Mittag-Leffler function in two parameters is introduced. Some properties of this integral transform are discussed. Also, its formulae for derivatives of the function are derived. The new integral transform is applied to derive the exact formula for the Laplace transform of fractional derivatives.

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References

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