首页|A novel fractional case study of nonlinear dynamics via analytical approach

A novel fractional case study of nonlinear dynamics via analytical approach

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The present work describes the fractional view analysis of Newell-Whitehead-Segal equations,using an innovative technique.The work is carried with the help of the Caputo oper-ator of fractional derivative.The analytical solutions of some numerical examples are presented to confirm the reliability of the proposed method.The derived results are very consistent with the actual solutions to the problems.A graphical representation has been done for the solution of the problems at various fractional-order derivatives.Moreover,the solution in series form has the desired rate of convergence and provides the closed-form solutions.It is noted that the procedure can be modified in other directions for fractional order problems.

Homotopy Perturbation methodShehu transformNewell-Whitehead-Segel EquationCaputo operator

Hassan Khan、Adnan Khan、Rasool Shah、Dumitru Baleanu

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Department of Mathematics,Abdul Wali khan University,Mardan 23200,Pakistan

Department of Mathematics,Faculty of Arts and Sciences,Cankaya University,Ankara 06530,Turkey

Institute of Space Sciences,Magurele-Bucharest,Romania

2024

高校应用数学学报B辑(英文版)
浙江大学 中国工业与应用数学学会

高校应用数学学报B辑(英文版)

影响因子:0.146
ISSN:1005-1031
年,卷(期):2024.39(2)
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