Fractional calculus of modified special functions involving the generalized M-series in their kernels and illustrative examples
Yazarlar (5)
Enes Ata Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Praveen Agarwal
Anand International College of Engineering, Hindistan
Anand International College of Engineering, Hindistan
Shilpi Jain
Poornima College of Engineering, Hindistan
Poornima College of Engineering, Hindistan
Shaher Momani 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 Dergi Bilgileri (2024) | ||
| 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 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| 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 |
