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Scirj Volume IX, Issue V, May 2021 Edition
ISSN: 2201-2796

FORMULATION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INITIAL CONDITIONS

Useni Paul Fatiye; Abegye S. Yakubu and Sunday Shammah Kpanja

Abstract: In this paper, we consider the Riemann-Liouville fractional derivative and the Caputo fractional derivative with particular reference to the initial conditions necessary for the formulation of fractional differential equations. We further determine the Riemann-Liouville and the Caputo fractional derivative of the function stating their relationship. In conclusion, we use Laplace transform to establish a relationship between the Beta and the gamma functions.

Reference this Paper: FORMULATION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INITIAL CONDITIONS by Useni Paul Fatiye; Abegye S. Yakubu and Sunday Shammah Kpanja published at: "Scientific Research Journal (Scirj), Volume IX, Issue V, May 2021 Edition, Page 61-65 ".

Search Terms: Riemann-Liouville, fractional derivative, Caputo, Laplace transform, fractional differential equations and integrals

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