Affiliation:
1. SULEYMAN DEMIREL UNIVERSITY
Abstract
One of the prominent nonlinear partial differential equations in mathematical physics is the Clannish Random Walker’s Parabolic (CRWP) equation. This study uses Residual Power Series Method (RPSM) to solve the time fractional CRWP equation. In this equation, the fractional derivatives are considered in Caputo’s sense. The effectiveness of RPSM is illustrated with graphical results. The series solutions are utilized to represent the approximate solutions. Besides, the approximate solutions found by the suggested method ensure good accuracy when compared with the exact solution. Moreover, RPSM efficiently analyzes complex problems that emerge in the related mathematical and scientific fields.
Reference50 articles.
1. Y. Uğurlu, D. Kaya, Analytic Method for Solitary Solutions of Some Partial Differential Equations, Physics Letters A 370 (3-4) (2007) 251–259.
2. Y. Uğurlu, İ. E. İnan, B. Kilic, Analytic Solutions of Some Partial Differential Equations by Using Homotopy Perturbation Equation, World Applied Sciences Journal 12 (11) (2011) 2135–2139.
3. B. Kiliç, Exact Solutions for Nonlinear Evolution Equations with Jacobi Elliptic Function Rational Expansion Method, World Applied Sciences Journal 23 (12) (2013) 81–88.
4. M. S. Khatun, M. F. Hoque, M. A. Rahman, Multisoliton Solutions, Completely Elastic Collisions and Non-elastic Fusion Phenomena of Two PDEs, Pramana-Journal of Physics 88 (2017) Article Number 86 9 pages.
5. B. Ahmad, J. J. Nieto, Existence of Solutions for Nonlocal Boundary Value Problems of Higher-order Nonlinear Fractional Differential Equations, Hindawi Abstract and Applied Analysis (2009) Article ID 494720 9 pages.
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