Spatially periodic series solution of a half-order time fractional modification of a linear dispersive wave equation

Authors

Jayson Cosme ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Fractional time derivative of order α is introduced to the dispersive wave equation and the general solution is obtained via complex Fourier series and Laplace Transform Method. The fractional dispersive wave equation is solved for the specific value α=1/2.

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Issue

2011: Proceedings of the 29th Samahang Pisika ng Pilipinas National Physics Congress

Article ID

SPP2011-PB-30

Section

Poster Session PB

Published

2011-10-24

How to Cite

[1]

J Cosme and JP Esguerra, Spatially periodic series solution of a half-order time fractional modification of a linear dispersive wave equation, Proceedings of the Samahang Pisika ng Pilipinas 29, SPP2011-PB-30 (2011). URL: https://proceedings.spp-online.org/article/view/SPP2011-PB-30.