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.
6) Odibat, Zaid, and Shaher Momani. ”Numerical solution of FokkerPlanck equation with space-and time-fractional derivatives.” Physics Letters A 369.5-6 (2007): 349-358.
7) Podlubny, Igor. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Elsevier, 1998.
8) Hussein, Mohammed Abdulshareef. "A Review on Algorithms of Laplace Adomian Decomposition Method for FPDEs." Scientific Research Journal of Multidisciplinary 2 (2022): 1-10.
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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