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New Iterative Method: An Application for Solving Fractional Physical Differential Equations
Author(s) -
A. A. Hemeda
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/617010
Subject(s) - mathematics , linearization , iterative method , nonlinear system , simplicity , perturbation (astronomy) , partial differential equation , ordinary differential equation , mathematical analysis , differential equation , mathematical optimization , philosophy , physics , epistemology , quantum mechanics
The new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. The analysis is accompanied by numerical examples where this method, in solving them, is used without linearization or small perturbation which con…firm the power, accuracy, and simplicity of the given method compared with some of the other methods

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