Makale detayı · 2023
α-Integral Representation of The Solution for A Conformable Fractional Diffusion Operator and Basic Properties of The Operator
Cumhuriyet Science Journal
YÖKSİS
OpenAlex
Açık erişim · diamond
TR Index
Atıf 2
- Yıl
- 2023
- ISSN
2587-2680- Tür
- article
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Özet
İngilizce (OpenAlex)
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.
Konular
- Fractional Differential Equations Solutions
- Differential Equations and Boundary Problems
- Nonlinear Differential Equations Analysis
Birincil konu Fractional Differential Equations Solutions