"Fractional Frobenius Series Solutions of Confluent α-Hypergeometric Di" by Ma’mon Abu Hammad, Iqbal H. Jebril et al.

Progress in Fractional Differentiation & Applications

Article Title

Fractional Frobenius Series Solutions of Confluent α-Hypergeometric Differential Equation

Authors

Ma’mon Abu Hammad, Mathematics Department, Al Zaytoonah University of Jordan, Queen Alia Airport St 594, Amman 11733, JordanFollow
Iqbal H. Jebril, Mathematics Department, Al Zaytoonah University of Jordan, Queen Alia Airport St 594, Amman 11733, JordanFollow
Iqbal M. Batiha, Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, UAEFollow
Amer Mansour Dababneh, Mathematics Department, Al Zaytoonah University of Jordan, Queen Alia Airport St 594, Amman 11733, JordanFollow

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

Recommended Citation

Abu Hammad, Ma’mon; H. Jebril, Iqbal; M. Batiha, Iqbal; and Mansour Dababneh, Amer (2022) "Fractional Frobenius Series Solutions of Confluent α-Hypergeometric Differential Equation," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 2, Article 9.
DOI: http://dx.doi.org/10.18576/pfda/080209
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss2/9

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