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Exact solutions for nonlinear partial fractional differential equations |
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| Authors: | Khaled A. Gepreel Saleh Omran |
| Affiliation: | Khaled A.Gepreel a)b) and Saleh Omran b)c) a) Mathematics Department,Faculty of Science,Zagazig University,Egypt b) Mathematics Department,Faculty of Science,Taif University,Saudi Arabia c) Mathematics Department,Faculty of science,South Valley University,Egypt |
| Abstract: | In this article,we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations.We use the improved(G’/G)-expansion function method to calculate the exact solutions to the time-and space-fractional derivative foam drainage equation and the time-and space-fractional derivative nonlinear KdV equation.This method is efficient and powerful for solving wide classes of nonlinear evolution fractional order equations. |
| Keywords: | fractional calculus complex transformation modified Riemann-Liouville derivative im- proved （G′/G）-expansion function method |
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