| Yazarlar |
Enes Ata
|
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| In this paper, we define generalized Fourier and inverse Fourier transforms containing the h-exponential function in their kernels and give the fundamental properties of these transforms. We also compute the transforms of both the classical and the generalized Riemann-Liouville and Caputo fractional operators. In addition, we compute the transforms of some elementary and generalized special functions as well. Finally, as applications, we obtain the solutions of two differential equations with ordinary and fractional derivatives using the transforms we have defined. |
| Anahtar Kelimeler |
| beta function | Fourier transform | fractional derivatives and integrals | fractional differential equations | gamma function | ordinary differential equations |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | Journal of Mathematical Analysis |
| Dergi ISSN | 2217-3412 |
| Dergi Tarandığı Indeksler | ESCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2024 |
| Cilt No | 15 |
| Sayı | 2 |
| Sayfalar | 14 / 33 |
| Doi Numarası | 10.54379/jma-2024-2-2 |
| Makale Linki | https://research.ebsco.com/c/yudfhe/viewer/pdf/hkzsv6zdkf |
| Atıf Sayıları | |
| SCOPUS | 1 |
| Google Scholar | 1 |
