Fractional-Order Genocchi–Petrov–Galerkin Method for Solving Time–Space Fractional Fokker–Planck Equations Arising from the Physical Phenomenon

Author:

Dehestani HaniyeORCID,Ordokhani YadollahORCID,Razzaghi MohsenORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference44 articles.

1. Aminataei, A., Vanani, S.K.: Numerical solution of fractional Fokker–Planck equation using the operational collocation method. Appl. Comput. Math. 12(1), 33–43 (2013)

2. Araci, S., Acikgoz, M., Bagdasaryan, A., Sen, E.: The Legendre polynomials associated with Bernoulli, Euler, Hermite and Bernstein polynomials (2013). ArXiv preprint arXiv:1312.7838

3. Bayad, A., Kim, T.: Identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials. Adv. Stud. Contemp. Math. 20(2), 247–53 (2010)

4. Chen, S., Liu, F., Zhuang, P., Anh, V.: Finite difference approximations for the fractional Fokker–Planck equation. Appl. Math. Model. 33, 256–273 (2009)

5. Dehghan, M.: A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Numer. Methods Partial Differ. Equ. 22(1), 220–257 (2006)

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