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Generalized Differential Transform Method to Space-Time Fractional Telegraph Equation

Author

Listed:
  • Mridula Garg
  • Pratibha Manohar
  • Shyam L. Kalla

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.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnijde:548982
    DOI: 10.1155/2011/548982
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    Cited by:

    1. Mahdy, A.M.S. & Mohamed, M.S. & Gepreel, K.A. & AL-Amiri, A. & Higazy, M., 2020. "Dynamical Characteristics and Signal Flow Graph of Nonlinear Fractional Smoking Mathematical Model," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. 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.

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