期刊
OPEN PHYSICS
卷 18, 期 1, 页码 799-805出版社
DE GRUYTER POLAND SP Z O O
DOI: 10.1515/phys-2020-0190
关键词
fractional calculus; fractional residual power series method; fractional physical equations
资金
- National Natural Science Foundation of China [11971142, 11871202, 61673169, 11701176, 11626101, 11601485]
In this article, analytical exact and approximate solutions for fractional physical equations are obtained successfully via efficient analytical method called fractional residual power series method (FRPSM). The fractional derivatives are described in the Caputo sense. Three applications are discussed, showing the validity, accuracy and efficiency of the present method. The solution via FRPSM shows excellent agreement in comparison with the solutions obtained from other established methods. Also, the FRPSM can be used to solve other nonlinear fractional partial differential equation problems. The final results are presented in graphs and tables, which show the effectiveness, quality and strength of the presented method.
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