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Double Laplace Transform Method for Solving Space and Time Fractional Telegraph Equations

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  • Ranjit R. Dhunde
  • G. L. Waghmare

Abstract

Double Laplace transform method is applied to find exact solutions of linear/nonlinear space-time fractional telegraph equations in terms of Mittag-Leffler functions subject to initial and boundary conditions. Furthermore, we give illustrative examples to demonstrate the efficiency of the method.

Suggested Citation

  • Ranjit R. Dhunde & G. L. Waghmare, 2016. "Double Laplace Transform Method for Solving Space and Time Fractional Telegraph Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-7, October.
    • Handle: RePEc:hin:jijmms:1414595
    DOI: 10.1155/2016/1414595
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    References listed on IDEAS

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    1. Mridula Garg & Pratibha Manohar & Shyam L. Kalla, 2011. "Generalized Differential Transform Method to Space-Time Fractional Telegraph Equation," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-9, October.
    2. Fatima A. Alawad & Eltayeb A. Yousif & Arbab I. Arbab, 2013. "A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations," International Journal of Differential Equations, Hindawi, vol. 2013, pages 1-10, December.
    3. F. Huang, 2009. "Analytical Solution for the Time-Fractional Telegraph Equation," Journal of Applied Mathematics, Hindawi, vol. 2009, pages 1-9, November.
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