Lie symmetry analysis, conservation laws and numerical approximations of time-fractional Fokker–Planck equations for special stochastic process in foreign exchange markets
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DOI: 10.1016/j.physa.2018.08.155
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- Smirnov, A.P. & Shmelev, A.B. & Sheinin, E.Ya., 2004. "Analysis of Fokker–Planck approach for foreign exchange market statistics study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 203-206.
- Zhi Mao & Aiguo Xiao & Zuguo Yu & Long Shi, 2014. "Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, July.
- Azadeh Naderifard & Elham Dastranj & S. Reza Hejazi, 2018. "Exact solutions for time-fractional Fokker–Planck–Kolmogorov equation of Geometric Brownian motion via Lie point symmetries," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 1-15, June.
- Lashkarian, Elham & Reza Hejazi, S., 2017. "Group analysis of the time fractional generalized diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 572-579.
- Tarasov, Vasily E. & Zaslavsky, George M., 2008. "Fokker–Planck equation with fractional coordinate derivatives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6505-6512.
- Montagnon, Chris, 2015. "A closed solution to the Fokker–Planck equation applied to forecasting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 14-22.
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- Mohammadi, Shaban & Hejazi, S. Reza, 2023. "Using particle swarm optimization and genetic algorithms for optimal control of non-linear fractional-order chaotic system of cancer cells," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 538-560.
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Keywords
Fokker–Planck equation; Ornstein–Uhlenbeck process; Lie symmetry; Invariant subspace method; Chebyshev wavelets’s polynomial;All these keywords.
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