Research Article

Application of the sumudu transform to some equations with fractional derivatives

Volume: 41 Number: 6 December 29, 2023
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

  1. REFERENCES
  2. [1] Acay B, Bas E, Abdeljawad T. Fractional economic models based on market equilibrium in the frame of different type kernels. Chaos, Solit Fractals 2020;130:109438.
  3. [2] Ahmed SA. Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics. In Abstract and Applied Analysis. 2021;2021. Hindawi.
  4. [3] Al-Humedi HO, Kadhim SAH. Solution of linear fuzzy fractional differential equations using fuzzy natural transform. Earthline J Math Sci 2022;8:4165.
  5. [4] Aibinu MO, Moyo SC, Moyo S. Analyzing population dynamics models via Sumudu transform. arXiv [Epub ahead of print]. doi: 10.48550/arXiv.2112.07126
  6. [5] Aibinu MO, Colin SC, Moyo S. Solving delay differential equations via Sumudu transform. arXiv [Epub ahead of print]. doi: 10.22075/ijnaa.2021.22682.2402
  7. [6] Akgül A. A novel method for a fractional derivative with non-local and non-singular kernel. Chaos Solit Fractals 2018;114:478482.
  8. [7] Akgül EK, Akgül A, Yavuz M. New illustrative applications of integral transforms to financial models with different fractional derivatives. Chaos Solit Fractals 2021;146:110877.

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

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