TITLE:
Fractional Calculus, Fractional Differential Equations and Applications
AUTHORS:
Mariam Almahdi Mohammed Mu’lla
KEYWORDS:
Fractional Derivative, Fractional Differentiation, Factorial for the Integer Numbers, Riemann-Liouville Fractional Derivative
JOURNAL NAME:
Open Access Library Journal,
Vol.7 No.6,
June
23,
2020
ABSTRACT: In this paper, we describe two approaches to the definition of fractional derivatives. We investigate the accuracy of the analysis method for solving the fractional order problem. We also give some improvements for the proof of the existence and uniqueness of the solution in fractional differential equations. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two or three variables and Lauricella hypergeometric function of three variables.