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A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations

Author

Listed:
  • Fatima A. Alawad
  • Eltayeb A. Yousif
  • Arbab I. Arbab

Abstract

In this paper, the exact solutions of space-time fractional telegraph equations are given in terms of Mittage-Leffler functions via a combination of Laplace transform and variational iteration method. New techniques are used to overcome the difficulties arising in identifying the general Lagrange multiplier. As a special case, the obtained solutions reduce to the solutions of standard telegraph equations of the integer orders.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnijde:256593
    DOI: 10.1155/2013/256593
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    Cited by:

    1. Sara H. M. Hamed & Eltayeb A. Yousif & Arbab I. Arbab, 2014. "Analytic and Approximate Solutions of the Space‐Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Amjad E. Hamza & Mohamed Z. Mohamed & Eltaib M. Abd Elmohmoud & M. Magzoub, 2021. "Conformable Sumudu Transform of Space‐Time Fractional Telegraph Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
    3. 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.
    4. Mehari Fentahun Endalew & Xiaoming Zhang, 2025. "Application of Modified Laplace Variational Iteration Hybrid Approach for Solving Time‐Fractional Fourth‐Order Parabolic PDEs," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).

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