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The modified Laplace variational iteration approach and the homotopy perturbation method were used to treat nonlinear, fourth\u2010order, time\u2010fractional partial differential equations with time\u2010fractional 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\u2010order 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\u2010order partial differential equations can be solved using the current method, which is a simple and precise analytical approach.<\/jats:p>","DOI":"10.1155\/jama\/5566075","type":"journal-article","created":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T08:27:06Z","timestamp":1753345626000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Application of Modified Laplace Variational Iteration Hybrid Approach for Solving Time\u2010Fractional Fourth\u2010Order Parabolic PDEs"],"prefix":"10.1155","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1676-5166","authenticated-orcid":false,"given":"Mehari Fentahun","family":"Endalew","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaoming","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,7,24]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1201\/9781420010916"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171203301486"},{"key":"e_1_2_11_3_2","first-page":"1","article-title":"New Modification of Adomian Decomposition Method for Solving a System of Nonlinear Fractional Partial Differential Equations","volume":"6","author":"Thabet H.","year":"2019","journal-title":"International Journal of Advances in Applied Mathematics and Mechanics"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.3390\/math7010040"},{"key":"e_1_2_11_5_2","first-page":"37","article-title":"A New Technique of Reduce Differential Transform Method to Solve Local Fractional PDEs in Mathematical Physics","volume":"12","author":"Kamil Jassim H.","year":"2021","journal-title":"International Journal of Nonlinear Analysis and Applications"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1515\/IJNSNS.2006.7.1.27"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1002\/num.20460"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asej.2013.11.004"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jksus.2010.06.012"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.11948\/2015005"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127412300145"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2014.12.001"},{"key":"e_1_2_11_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2012.06.020"},{"key":"e_1_2_11_14_2","doi-asserted-by":"publisher","DOI":"10.12732\/ijpam.v95i3.9"},{"key":"e_1_2_11_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2006.12.049"},{"key":"e_1_2_11_16_2","article-title":"Laplace Variational Iteration Method for Solving Fractional Wave Like Equations","volume":"377","author":"Jain D.","year":"2023","journal-title":"Journal of Computational Analysis and Applications"},{"key":"e_1_2_11_17_2","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/256593"},{"key":"e_1_2_11_18_2","unstructured":"HammouchZ.andMekkaouiT. 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