On linear and nonlinear fractional PDEs | Zendy

Jamshad Ahmad | Zendy; Hassany ul | Zendy; Syed Tauseef MohyudDin | Zendy

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On linear and nonlinear fractional PDEs

Author(s) -

Jamshad Ahmad,

Hassany ul,

Syed Tauseef MohyudDin

Publication year - 2013

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam1304511a

Subject(s) - fractional calculus , nonlinear system , mathematics , partial differential equation , order (exchange) , derivative (finance) , partial derivative , mathematical analysis , mathematical optimization , physics , finance , quantum mechanics , financial economics , economics

In this study, Variational Iteration Method (VIM) has been applied to obtain the analytical solutions of fractional order nonlinear partial differential equations. The iteration procedure is based on a relatively new approach which is called Jumarie’s fractional derivative. Several examples have been solved to elucidate effectiveness of the proposed method and the results are compared with the exact solution, revealing high accuracy and efficiency of the method

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