Application of Modified Laplace Variational Iteration Hybrid Approach for Solving Time-Fractional Fourth-Order Parabolic PDEs

Mehari Fentahun Endalew and Xiaoming Zhang

Journal of Applied Mathematics, 2025, vol. 2025, 1-11

Abstract: The current study is aimed at obtaining analytical solutions of fourth-order parabolic partial differential equations of time-fractional derivative with variable coefficients. The modified Laplace variational iteration approach and the homotopy perturbation method were used to treat nonlinear, fourth-order, time-fractional partial differential equations with time-fractional derivatives. This approach is essential for specifying the Lagrange multiplier without applying integration or convolution methods via recurrence relations. Ultimately, we observed that the method employed for tackling fractional-order partial differential equations is more precise, simple, and computationally efficient. Three significant illustrative instances are solved to validate the suggested approach. In summary, various fractional-order partial differential equations can be solved using the current method, which is a simple and precise analytical approach.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:5566075

DOI: 10.1155/jama/5566075

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