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A hybrid method to solve a fractional-order Newell–Whitehead–Segel equationBektaş, UmutAnaç, HalilFractional differential equationNewell–Whitehead–Segel equationq-homotopy Shehu analysis transform methodShehu transformThis paper solves fractional differential equations using the Shehu transform in combination with the q-homotopy analysis transform method (q-HATM). As the Shehu transform is only applicable to linear equations, q-HATM is an efficient technique for approximating solutions to nonlinear differential equations. In nonlinear systems that explain the emergence of stripes in 2D systems, the Newell–Whitehead–Segel equation plays a significant role. The findings indicate that the outcomes derived from the tables yield superior results compared to the existing LTDM in the literature. Maple is utilized to depict three-dimensional surfaces and find numerical values that are displayed in a table.Springer Science and Business Media Deutschland GmbH2024Articlehttps://rdlopen.rawdatalibrary.net/r/gumushane/14235https://doi.org/10.1186/s13661-023-01795-21687-2762enBoundary Value Problemsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/14235