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Academic Journal
Fractional calculus of modified special functions involving the generalized M-series in their kernels and illustrative examples
Enes Ata, İ Onur Kıymaz, Praveen Agarwal, Shilpi Jain, Shaher Momani
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100720- (2024)
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| Title | Fractional calculus of modified special functions involving the generalized M-series in their kernels and illustrative examples |
|---|---|
| Authors | Enes Ata, İ Onur Kıymaz, Praveen Agarwal, Shilpi Jain, Shaher Momani |
| Publication Year |
2024
|
| Source |
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100720- (2024)
|
| Description |
In this paper we apply the Riemann–Liouville, Erdelyi–Kober and Caputo fractional operators to the modified beta, modified Gauss hypergeometric and modified confluent hypergeometric functions in which the generalized M-series are included in their kernels. Furthermore, as examples, we obtain solutions of some fractional differential equations involving the above modified special functions.
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| Document Type |
article
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| Language |
English
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| Publisher Information |
Elsevier, 2024.
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| Subject Terms | |
