Analytical investigation of fractional-order Newell-Whitehead-Segel equations via a novel transform

• DOI: 10.3934/math.2022385
• Publication Date: 2022-01-28T05:17:24Z
• Authors: Mounirah Areshi; ; Adnan Khan; Rasool Shah; Kamsing Nonlaopon
• Keywords: Operator (biology); Value (mathematics)

<abstract><p>In this paper, we find the solution of time-fractional Newell-Whitehead-Segel equation with help two different methods. The newell-Whitehead-Segel plays an efficient role in nonlinear systems, describing stripe patterns' appearance two-dimensional systems. Four case study problems are solved by proposed methods aid Antagana-Baleanu fractional derivative operator and Laplace transform. numerical results obtained suggested techniques compared exact solution. To show effectiveness methods, analytical graphs tables, which strong agreement each other. Also, implementing at various orders compared, confirms that gets closer to as value tends from fractional-order towards integer order. Moreover, interesting, easy highly accurate solving partial differential equations.</p></abstract>