α-Integral Representation of The Solution for A Conformable Fractional Diffusion Operator and Basic Properties of The Operator

Esengül Koç; Yaşar Çakmak

doi:10.17776/csj.1208016

EN

α-Integral Representation of The Solution for A Conformable Fractional Diffusion Operator and Basic Properties of The Operator

Abstract

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.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Esengül Koç
0000-0002-9565-5266
Türkiye

Yaşar Çakmak ^*
0000-0002-6820-1322
Türkiye

Publication Date

March 26, 2023

Submission Date

November 21, 2022

Acceptance Date

March 6, 2023

Published in Issue

Year 2023 Volume: 44 Number: 1

DOI

https://doi.org/10.17776/csj.1208016

IZ

https://izlik.org/JA79CB64JB

Cite

RIS / Bibtex

APA

Koç, E., & Çakmak, Y. (2023). α-Integral Representation of The Solution for A Conformable Fractional Diffusion Operator and Basic Properties of The Operator. Cumhuriyet Science Journal, 44(1), 170-180. https://doi.org/10.17776/csj.1208016

Cited By

Inverse Problems for a Conformable Fractional Diffusion Operator

Journal of New Theory

https://doi.org/10.53570/jnt.1335702

Ambarzumyan-Type Theorem for a Conformable Fractional Diffusion Operator

Communications in Advanced Mathematical Sciences

https://doi.org/10.33434/cams.1281434

α-Integral Representation of The Solution for A Conformable Fractional Diffusion Operator and Basic Properties of The Operator

Öz

Anahtar Kelimeler

α-Integral Representation of The Solution for A Conformable Fractional Diffusion Operator and Basic Properties of The Operator

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Inverse Problems for a Conformable Fractional Diffusion Operator

Ambarzumyan-Type Theorem for a Conformable Fractional Diffusion Operator