GENERALIZED FOURIER TRANSFORM: ILLUSTRATIVEEXAMPLES AND APPLICATIONS TO DIFFERENTIALEQUATIONS
Yazarlar (2)
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Journal of Mathematical Analysis | ||
| Dergi ISSN | 2217-3412 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2024 |
| Cilt / Sayı / Sayfa | 15 / 2 / 14–33 | DOI | 10.54379/jma-2024-2-2 |
| Makale Linki | https://research.ebsco.com/c/yudfhe/viewer/pdf/hkzsv6zdkf | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 2 |
| SCOPUS | 4 |
| Google Scholar | 5 |