Diffusion operator Integral representation Conformable fractional derivative Spectral data
In this paper, we consider a diffusion operator which includes conformable fractional derivatives of order α (0<α≤1) instead of the ordinary derivatives in a traditional diffusion operator. We give an α-integral representation for the solution of this operator and obtain the conditions provided by the kernel functions in this representation. Also, by investigating the basic properties of this operator, we obtain the asymptotics of the data {λ_n,α_n }, which are called the spectral data of the operator.
Diffusion operator Integral representation Conformable fractional derivative Spectral data
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 26 Mart 2023 |
Gönderilme Tarihi | 21 Kasım 2022 |
Kabul Tarihi | 6 Mart 2023 |
Yayımlandığı Sayı | Yıl 2023Cilt: 44 Sayı: 1 |