Fractional variational iteration method for fractional initial-boundary value problems arising in the application of nonlinear science

Authors:
Yasir Khan;Naeem Faraz;Ahmet Yildirim;Qingbiao Wu
Affiliations:
Department of Mathematics, Zhejiang University, Hangzhou 310027, China;Modern Textile Institute, Donghua University, 1882 Yan'an Xilu Road, Shanghai 200051, China;Ege University, Science Faculty, Department of Mathematics, 35100 Bornova Izmir, Turkey;Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

In this paper, we suggest a fractional functional for the variational iteration method to solve the linear and nonlinear fractional order partial differential equations with fractional order initial and boundary conditions by using the modified Riemann-Liouville fractional derivative proposed by G. Jumarie. Fractional order Lagrange multiplier has been considered. Solution has been plotted for different values of @a.