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Investigation of fractional partial differential equations with semi analytic methods

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2019
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Abstract (EN)

In this thesis, generalized tanh method and trial equation method which provide semi-analytical solutions of fractional partial differential equations are discussed. The generalized Tanh method was applied to time-space fractional non-linear Foam Drainage, time-space fractional potential Kadomtsev-Petviashvili, time-space fractional non-linear KdV and time fraction reaction-diffusion equations, respectively. In addition, the trial equation method which is a semi-analytical method, was applied to the time-space fractional non-linear KdV equation. The results obtained from these two methods were compared and different traveling wave solutions were obtained.

Author

Ayşe Yıldırım

How to Cite

Ayşe Yıldırım (Master Thesis). Investigation of fractional partial differential equations with semi analytic methods, 2019, Yozgat Bozok University.

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