Fractional calculus of modified special functions involving the generalized M-series in their kernels and illustrative examples
Yazarlar (5)
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Anand International College Of Engineering, Hindistan
Poornima College Of Engineering, Hindistan
Ajman University, Birleşik Arap Emirlikleri
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Partial Differential Equations in Applied Mathematics | ||
| Dergi ISSN | 2666-8181 Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCOPUS | ||
| Makale Dili | Türkçe | Basım Tarihi | 09-2024 |
| Cilt / Sayı / Sayfa | 11 / 1 / – | DOI | 10.1016/j.padiff.2024.100720 |
| Makale Linki | https://doi.org/10.1016/j.padiff.2024.100720 | ||
| Özet |
| 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. |
| Anahtar Kelimeler |
| Beta function | Confluent hypergeometric function | Fractional derivatives and integrals | Fractional differential equations | Gauss hypergeometric function |
