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Progress in Fractional Differentiation & Applications

Author Country (or Countries)

Jordan

Abstract

In this work, the so-called conformable fractional derivative definition is employed to obtain the fractional Frobenius series solutions around the regular α-singular point x = 0 for the confluent α-hypergeometric differential equation. Of course, such solutions for this equation in its classical case are just confluent hypergeometric functions. The proposed method is straightforward to be applied as an algorithm.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080209

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