| Yazarlar (4) |
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 |
|
Shilpi Jain
Poornima College Of Engineering, Hindistan |
| Özet |
| In this paper, we have defined generalized gamma, beta, Gauss hypergeometric and confluent hypergeometric functions with the help of generalized M-series. Furthermore, we have obtained some properties of these functions, such as integral representations, summation formulas, and derivative formulas. Then we applied beta, Mellin, Laplace, Sumudu, Elzaki, and general integral transformations to new generalized special functions and obtained solutions of fractional differential equations containing new generalized special functions. Finally, we presented the relationship between generalized special functions in the literature and new generalized special functions. |
| Anahtar Kelimeler |
| Beta function | Confluent hypergeometric function | Fractional differential equations | Gamma function | Gauss hypergeometric function | Integral transforms |
| Kitap Adı | Fractional Differential Equations: Theoretical Aspects and Applications |
| Bölüm(ler) | A study on the properties of new generalized special functions, their integral transformations, and applications to fractional differential equations |
| Bölüm Sayfaları | 95-114 |
| Kitap Türü | Kitap Bölümü |
| Kitap Alt Türü | Alanında uluslararası yayınlanan kitap bölümü |
| Kitap Niteliği | Scopus indeksinde taranan bilimsel kitap |
| Kitap Dili | İngilizce |
| Basım Tarihi | 01-2024 |
| DOI Numarası | 10.1016/B978-0-44-315423-2.00012-6 |
| ISBN | 978-0-443-15423-2 |
| Basıldığı Ülke | |
| Basıldığı Şehir |
| Atıf Sayıları | |
| SCOPUS | 4 |
