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Approximate Analytical Solution of One‐Dimensional Beam Equations by Using Time‐Fractional Reduced Differential Transform Method

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  • Dessalegn Mekonnen Yadeta
  • Ademe Kebede Gizaw
  • Yesuf Obsie Mussa

Abstract

In this paper, a recent and reliable method, named the fractional reduced differential transform method (FRDTM) is employed to solve one‐dimensional time‐fractional Beam equation subject to the appropriate initial conditions. This method provides the solutions very accurately and efficiently in convergent series form with easily computable coefficients. The efficacy and accuracy of this method are verified by means of three illustrative examples which indicate that the present method is very effective, simple, and easy to implement. Finally, it is observed that the FRDTM is the prevailing and convergent method for the solutions of linear and nonlinear fractional‐order partial differential equations.

Suggested Citation

  • Dessalegn Mekonnen Yadeta & Ademe Kebede Gizaw & Yesuf Obsie Mussa, 2020. "Approximate Analytical Solution of One‐Dimensional Beam Equations by Using Time‐Fractional Reduced Differential Transform Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnljam:v:2020:y:2020:i:1:n:7627385
    DOI: 10.1155/2020/7627385
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    References listed on IDEAS

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    1. Odibat, Zaid & Momani, Shaher, 2008. "Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 167-174.
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