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

  • 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.

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Published
2019-12-30
How to Cite
Fadugba, S. E. (2019). Solution of Fractional Order Equations in the Domain of the Mellin Transform. Journal of the Nigerian Society of Physical Sciences, 1(4), 138-142. Retrieved from https://journal.nsps.org.ng/index.php/jnsps/article/view/31
Section
Original Research