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Fractional Frobenius Series Solutions of Confluent α-Hypergeometric Differential Equation |
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PP: 297-304 |
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doi:10.18576/pfda/080209
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Author(s) |
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Ma’mon Abu Hammad,
Iqbal H. Jebril,
Iqbal M. Batiha,
Amer Mansour Dababneh,
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Abstract |
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| 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.
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