Article detail · 2023
α-Integral Representation of The Solution for A Conformable Fractional Diffusion Operator and Basic Properties of The Operator
Cumhuriyet Science Journal
YÖKSİS
OpenAlex
Open access · diamond
TR Index
Citations 2
Percentile 48.4%
FWCI 0.35
- Year
- 2023
- ISSN
2587-2680- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
English (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.
Topics
- Fractional Differential Equations Solutions
- Differential Equations and Boundary Problems
- Nonlinear Differential Equations Analysis
Primary topic Fractional Differential Equations Solutions