Applications of variational iteration and homotopy perturbation methods to fractional evolution equations

Zaid Odibat, Shaher Momani

DOI: http://dx.doi.org/10.12775/TMNA.2008.013

Abstract


In this paper, variational iteration and homotopy
perturbation methods that developed for integer-order differential
equations are directly extended to derive explicit and numerical
solutions of various evolution equations with time-fractional
derivatives. The results reveal that the two methods are very
effective and convenient
for solving nonlinear partial differential equations of fractional
order.

Keywords


Variational iteration method; homotopy perturbation method; evolution equation; fractional differential equations

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