Generalized Differential Transform Method to Space-Time Fractional Telegraph Equation
Open Access
- 11 October 2011
- journal article
- research article
- Published by Hindawi Limited in International Journal of Differential Equations
- Vol. 2011, 1-9
- https://doi.org/10.1155/2011/548982
Abstract
We use generalized differential transform method (GDTM) to derive the solution of space-time fractional telegraph equation in closed form. The space and time fractional derivatives are considered in Caputo sense and the solution is obtained in terms of Mittag-Leffler functions.Keywords
Funding Information
- Council of Scientific and Industrial Research
This publication has 16 references indexed in Scilit:
- He's homotopy perturbation method for solving the space- and time-fractional telegraph equationsInternational Journal of Computer Mathematics, 2010
- An Approximation to Solution of Space and Time Fractional Telegraph Equations by He's Variational Iteration MethodMathematical Problems in Engineering, 2010
- Homotopy perturbation method for fractional KdV-Burgers equationChaos, Solitons, and Fractals, 2008
- A generalized differential transform method for linear partial differential equations of fractional orderApplied Mathematics Letters, 2008
- Generalized differential transform method for solving a space- and time-fractional diffusion-wave equationPhysics Letters A, 2007
- Analytic and approximate solutions of the space- and time-fractional telegraph equationsApplied Mathematics and Computation, 2005
- An approximate solution of a nonlinear fractional differential equation by Adomian decomposition methodApplied Mathematics and Computation, 2005
- Solution of an extraordinary differential equation by Adomian decomposition methodJournal of Applied Mathematics, 2004
- Applications of Fractional Calculus in PhysicsPublished by World Scientific Pub Co Pte Ltd ,2000
- Approximate analytical solution for seepage flow with fractional derivatives in porous mediaComputer Methods in Applied Mechanics and Engineering, 1998