EN
Application of the sumudu transform to some equations with fractional derivatives
Abstract
The aim of the article is to obtain the exact solutions of the linear fractional differential equations by the integral transforms. Exact solutions of the equations with power-law, exponential-decay and Mittag-Leffler kernels have been obtained by the Sumudu transform. We demonstrate some simulations to show the effect of the proposed transforms.
Keywords
References
- REFERENCES
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Details
Primary Language
English
Subjects
Clinical Chemistry
Journal Section
Research Article
Publication Date
December 29, 2023
Submission Date
October 11, 2021
Acceptance Date
June 20, 2022
Published in Issue
Year 2023 Volume: 41 Number: 6
APA
Akgül, A., & Öztürk, G. (2023). Application of the sumudu transform to some equations with fractional derivatives. Sigma Journal of Engineering and Natural Sciences, 41(6), 1132-1143. https://izlik.org/JA84EY74PW
AMA
1.Akgül A, Öztürk G. Application of the sumudu transform to some equations with fractional derivatives. SIGMA. 2023;41(6):1132-1143. https://izlik.org/JA84EY74PW
Chicago
Akgül, Ali, and Gamze Öztürk. 2023. “Application of the Sumudu Transform to Some Equations With Fractional Derivatives”. Sigma Journal of Engineering and Natural Sciences 41 (6): 1132-43. https://izlik.org/JA84EY74PW.
EndNote
Akgül A, Öztürk G (December 1, 2023) Application of the sumudu transform to some equations with fractional derivatives. Sigma Journal of Engineering and Natural Sciences 41 6 1132–1143.
IEEE
[1]A. Akgül and G. Öztürk, “Application of the sumudu transform to some equations with fractional derivatives”, SIGMA, vol. 41, no. 6, pp. 1132–1143, Dec. 2023, [Online]. Available: https://izlik.org/JA84EY74PW
ISNAD
Akgül, Ali - Öztürk, Gamze. “Application of the Sumudu Transform to Some Equations With Fractional Derivatives”. Sigma Journal of Engineering and Natural Sciences 41/6 (December 1, 2023): 1132-1143. https://izlik.org/JA84EY74PW.
JAMA
1.Akgül A, Öztürk G. Application of the sumudu transform to some equations with fractional derivatives. SIGMA. 2023;41:1132–1143.
MLA
Akgül, Ali, and Gamze Öztürk. “Application of the Sumudu Transform to Some Equations With Fractional Derivatives”. Sigma Journal of Engineering and Natural Sciences, vol. 41, no. 6, Dec. 2023, pp. 1132-43, https://izlik.org/JA84EY74PW.
Vancouver
1.Ali Akgül, Gamze Öztürk. Application of the sumudu transform to some equations with fractional derivatives. SIGMA [Internet]. 2023 Dec. 1;41(6):1132-43. Available from: https://izlik.org/JA84EY74PW