| Yazarlar |
Enes Ata
|
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye |
|
Praveen Agarwal
|
|
Shilpi Jain
|
|
Sharer Momani
|
| 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 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Partial Differential Equations in Applied Mathematics |
| Dergi ISSN | 2666-8181 |
| Dergi Tarandığı Indeksler | Scopus |
| Makale Dili | Türkçe |
| Basım Tarihi | 01-2024 |
| Cilt No | 11 |
| Sayı | 100720 |
| Doi Numarası | 10.1016/j.padiff.2024.100720 |
| Makale Linki | https://www.sciencedirect.com/science/article/pii/S2666818124001062 |
