S. O. Edeki, O. P. Ogundile, B. Osoba, G. A. Adeyemi, F. O. Egara, S. A. Ejoh, "Coupled FCT-HP for Analytical Solutions of the Generalized Time-Fractional Newell-Whitehead-Segel Equation," WSEAS Transactions on Systems and Control, vol. 13, pp. 266-274, 2018, DOI:
S. O. Edeki, O. P. Ogundile, B. Osoba, G. A. Adeyemi, F. O. Egara, S. A. Ejoh. Coupled FCT-HP for Analytical Solutions of the Generalized Time-Fractional Newell-Whitehead-Segel Equation.
WSEAS Transactions on Systems and Control. 2018;13:266-274.
WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 13, 2018
Coupled FCT-HP for Analytical Solutions of the Generalized Time-Fractional Newell-Whitehead-Segel Equation
Authors: , , , , ,
Abstract: This paper considers the generalized form of the time-fractional Newell-Whitehead-Segel model (TFNWSM) with regard to exact solutions via the application of Fractional Complex Transform (FCT) coupled with He’s polynomials method of solution. This is applied to two forms of the TFNWSM viz: nonlinear and linear forms of the time-fractional NWSM equation whose derivatives are based on Jumarie’s sense. The results guarantee the reliability and efficiency of the proposed method with less computation time while still maintaining high level of accuracy.
Keywords:
Fractional calculus, Fractional complex transform, Adomian Decomposition method, Analytical solution, He’s polynomials
Pages: 266-274 WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 13, 2018, Art. #31 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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