Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 10 Special Issue ( Nonlinear Analysis in Engineering and Sciences) 2019 12 12 Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method 155 167 4428 10.22075/ijnaa.2019.4428 EN E Abdolmaleki Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan 4695113111, Iran. H Saberi Najafi Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan 4695113111, Iran. Journal Article 2019 06 20 The Newell-Whitehead-Segel equation is an important model arising in biology, finance, fluid mechanics and some more processes. Various researchers worked on approximate solution of this model by using different methods. In this paper, the Newell-Whitehead-Segel equation of fractional order is solved by using a generalized Taylor series formula together with residual error function, which is named the residual power series method (RPSM). The illustrative examples are presented to demonstrate the accuracy and effectiveness of the proposed method. https://ijnaa.semnan.ac.ir/article_4428_e76d1753db0d6008887a2523a65125f5.pdf