Solution of Fractional Order Equations in the Domain of the Mellin Transform

Authors

  • Sunday Emmanuel Fadugba
    Department of Mathematics, Ekiti State University, Ado Ekiti, Nigeria

Keywords:

Caputo fractional derivative, Fractional calculus, Mellin transform, Miller-Ross fractional derivative, Riemann-Liouville fractional derivative, Riemann-Liouville fractional integral

Abstract

This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology. The Mellin transform of fractional calculus of different flavours; namely the Riemann-Liouville fractional derivative, Riemann-Liouville fractional integral, Caputo fractional derivative and the Miller-Ross sequential fractional derivative were obtained. Three illustrative examples were considered to discuss the applications of the Mellin transform and its fundamental properties. The results show that the Mellin transform is a good analytical method for the solution of fractional order equations.

Dimensions

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Published

2019-12-30

How to Cite

Solution of Fractional Order Equations in the Domain of the Mellin Transform. (2019). Journal of the Nigerian Society of Physical Sciences, 1(4), 138-142. https://doi.org/10.46481/jnsps.2019.31

Issue

Volume 1, Issue 4, November 2019

Section

Original Research
Copyright & Licensing

Copyright (c) 2019 Journal of the Nigerian Society of Physical Sciences

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Solution of Fractional Order Equations in the Domain of the Mellin Transform. (2019). Journal of the Nigerian Society of Physical Sciences, 1(4), 138-142. https://doi.org/10.46481/jnsps.2019.31

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