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In this paper, an efficient numerical method is developed for solving a class of nonlinear fractional differential equations. The main idea is to transform the nonlinear fractional differential equations into… Click to show full abstract
In this paper, an efficient numerical method is developed for solving a class of nonlinear fractional differential equations. The main idea is to transform the nonlinear fractional differential equations into a system of integral equations involved the generalized Mittag‐Leffler functions, and then to discretize the integral equations by the technique of exponential integrators and collocation methods with the polynomials of Lagrange basis. The convergence of this method is proven. The linear stability analysis of this method is carried out, and the stability region is derived. Finally, numerical examples are presented to illustrate the theoretical results.
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
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