Analytical solution of time-fractional two-component evolutionary system of order 2 by residual power series method

By Marwan Alquran. 2015

62 citations recorded by the source corpus.

In this paper, we introduce and formulate a novel study of obtaining the approximate solutions to the generalized time-fractional two-component evolutionary system of order 2 subject to given constraints conditions based on the generalized Taylor series formula. Here, a very recent technique based on the so called residual power series method is extended to handle such system. The solution methodology is based on generating the multiple fractional power series expansion solutions in the form of a rabidly convergent series with minimum size of calculations. A detailed description of the method is given and the obtained results reveal that the technique is a new signi cant method for exploring linear and nonlinear fractional models.

Subfields: Control and Systems Engineering, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/386570c4652cac0860ce48be2a8d0cf2417439cc

Citations in the corpus

• Iterative methods for solving fourth‐ and sixth‐order time‐fractional Cahn‐Hillard equation (2019, unknown): “Then from Equations (26) and (46), we obtain the following:”