摘要：The Caputo fractional version of the generalized Newell–Whitehead–Segel model is considered. We introduced a numerical scheme to solve analytically the proposed application. We updated the style of the generalized Taylor series for a reliable treatment of the time-fractional derivative. The effect of the fractional derivative is explored on the obtained solutions for different cases of the problem. A sequential-asymptotic phenomenon has been observed upon varying the order of the fractional derivative from no-memory “ α = 0 $ lpha=0$ ” to full-memory “ α = 1 $ lpha=1$ ”.
关键词：Caputo fractional derivative ; Generalized Newell–Whitehead–Segel model ; Fractional-power series
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