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A Tarig Iterative Transform Method for Solving Non-Linear Fractional Partial Differential Equations

Author

Listed:
  • Lata Chanchlani
  • Manisha
  • Pratibha Manohar

Abstract

In this study, the Tarig Iterative Transform Method (TITM) is developed by combining the Tarig transform and an iteration method to determine the analytical solution of linear and nonlinear systems. The proposed method is applied to three nonlinear fractional partial differential equations. The results are discussed to demonstrate the effectiveness of the approach, highlighting its accuracy, computational efficiency, and simplicity.

Suggested Citation

  • Lata Chanchlani & Manisha & Pratibha Manohar, 2026. "A Tarig Iterative Transform Method for Solving Non-Linear Fractional Partial Differential Equations," European Journal of Mathematics and Statistics, European Open Science, vol. 7(2), pages 7-15, May.
    • Handle: RePEc:epw:ejmath:v:7:y:2026:i:2:id:70370
    DOI: 10.24018/ejmath.2026.7.2.70370
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    References listed on IDEAS

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    1. Mohamed. Z. Mohamed & Mohammed Yousif & Amjad E. Hamza & Sheng Zhang, 2022. "Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method," Abstract and Applied Analysis, Hindawi, vol. 2022, pages 1-9, August.
    2. Mohamed. Z. Mohamed & Mohammed Yousif & Amjad E. Hamza, 2022. "Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2022(1).
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