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Fractional green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics
Published in
Volume: 24
Issue: 1-2
Pages: 167 - 178
This paper deals with the solutions of linear inhomogeneous time-fractional partial differential equations in applied mathematics and fluid mechanics. The fractional derivatives are described in the Caputo sense. The fractional Green function method is used to obtain solutions for time-fractional wave equation, linearized time-fractional Burgers equation, and linear time-fractional KdV equation. The new approach introduces a promising tool for solving fractional partial differential equations. © 2007 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.
About the journal
JournalJournal of Applied Mathematics and Computing
Open AccessNo