Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/56707
Title: New semi-analytical solution of fractional Newell–Whitehead–Segel equation arising in nonlinear optics with non-singular and non-local kernel derivative
Authors: Maghsoudi-Khouzani, S.
Kurt, A.
Keywords: Adomian decomposition method
Caputo–Fabrizio derivative
Laplace transformation
Newell–Whitehead–Segel equation
Semi-analytical solutions
Laplace transforms
Nonlinear equations
Adomian decomposition
Adomian Decomposition Method
Caputo–fabrizio derivative
Decomposition technique
Laplace transformations
Local kernel
Newell–whitehead–segel equation
Nonlocal
Semi-analytical solution
Singular kernel
Nonlinear optics
Publisher: Springer
Abstract: In this paper, a combined form of Laplace transform is applied with the Adomian Decomposition technique for the first time to obtain new semi-analytical solutions of the fractional Newell–Whitehead–Segel equation which is a model arising in nonlinear optics with Caputo–Fabrizio derivative which involves non-singular and non-local kernels in its definition. The obtained results by the suggested method are compared with exact solutions, as a result of remarkable concurrence between the acquired results and the exact proposed method and the exacted solutions. Plotted graphs and given tables illustrate the efficiency and accuracy of the proposed technique. All the calculations are made by the computer software called MAPLE and Mathematica. © 2024, The Author(s).
URI: https://doi.org/10.1007/s11082-023-06126-4
https://hdl.handle.net/11499/56707
ISSN: 0306-8919
Appears in Collections:Fen Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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