1Mohammed A. Hussein, 2Hossein Ali Eaued,3Ahmed Baqer Jaafer
1,22Scientific Research Center, Thi-Qar University, Thi-Qar, Iraq,3Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
DOI : https://doi.org/10.47191/ijmra/v5-i10-36Google Scholar Download Pdf
ABSTRACT:
This study used the Daftardar-Jafari approach to find the approximate and analytical solution for the Fokker-Planck (F-P) equation with the operator Caputo-Fabrizio (DJM). The accuracy, efficiency, and simplicity of the current technique are excellent.
KEYWORDS:Daftardar-Jafari method; Fokker-Planck equation; fractional differential equation, Caputo -Fabrizio operator
REFERENCES
1) Jassim, Hassan Kamil, and M. A. Shareef. "On approximate solutions for fractional system of differential equations with Caputo-Fabrizio fractional operator." Journal of Mathematics and Computer science 23 (2021): 58-66.
2) Hussein, Mohammed Abdulshareef. "A Review on Integral Transforms of Fractional Integral and Derivative."International Academic Journal of Science and Engineering 9 (2022): 52-56.
3) Hussein, Mohammed Abdulshareef. "A review on integral transforms of the fractional derivatives of CaputoFabrizio and Atangana-Baleanu." Eurasian Journal of Media and Communications 7 (2022): 17-23.
4) Mohammed Abdulshareef Hussein, Hassan Kamil Jassim."New approximate analytical technique for the solution of two dimensional fractional differential equations." NeuroQuantology 20 (2022): 3690-3705.
5) Hussein, Mohammed Abdulshareef. "A Review on Algorithms of Sumudu Adomian Decomposition Method for FPDEs." Journal of Research in Applied Mathematics 8 (2022): 36-43.
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9) Hussein, Mohammed Abdulshareef. "The Approximate Solutions of fractional differential equations with Antagana-Baleanu fractional operator." Mathematics and Computational Sciences 3 (2022): 29-39.
10) Shaikh, A., Tassaddiq, A., Nisar, K. S., Baleanu, D. (2019). Analysis of differential equations involving CaputoFabrizio fractional operator and its applications to reactiondiffusion equations.
11) Advances in Difference Equations, 2019(1), 1-14.
12) Caputo, M., Fabrizio, M. (2015). A new definition of fractional derivative without singular kernel. Progr. Fract. Differ. Appl, 1(2), 1-13.
13) Al-Salti, N., Karimov, E., Sadarangani, K. (2016). On a differential equation with Caputo-Fabrizio fractional derivative of order 1 < β ≤ 2 and application to mass-spring-damper system. arXiv preprint arXiv:1605.07381.
14) Atangana, A., Alqahtani, R. T. (2016). Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation. Advances in Difference Equations, 2016(1), 1-13.
Volume 05 Issue 10 October 2022
There is an Open Access article, distributed under the term of the Creative Commons Attribution – Non Commercial 4.0 International (CC BY-NC 4.0) (https://creativecommons.org/licenses/by-nc/4.0/), which permits remixing, adapting and building upon the work for non-commercial use, provided the original work is properly cited.
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