A New Integral Transform With Applications to Fractional Calculus

Authors

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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I. Podlubny, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, Methods of Their Solution, and Some of Their Applications, 1st edition, Elsevier (1998), https://www.elsevier.com/books/fractional-differential-equations/podlubny/978-0-12-558840-9.

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Published

29-11-2022
CITATION

How to Cite

Chinchole, S. M. (2022). A New Integral Transform With Applications to Fractional Calculus. Communications in Mathematics and Applications, 13(3), 1003–1012. https://doi.org/10.26713/cma.v13i3.1830

Issue

Vol. 13 No. 3 (2022)

Section

Research Article

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