{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,24]],"date-time":"2026-04-24T14:55:51Z","timestamp":1777042551121,"version":"3.51.4"},"reference-count":20,"publisher":"Wiley","license":[{"start":{"date-parts":[[2021,3,19]],"date-time":"2021-03-19T00:00:00Z","timestamp":1616112000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2021,3,19]]},"abstract":"<jats:p>The objective of this paper is to compute the new modified method of variational iteration and the Laplace Adomian decomposition method for the solution of nonlinear fractional partial differential equations. We execute a comparatively newfangled analytical mechanism that is denoted by the modified Laplace variational iteration method (MLVIM) and Laplace Adomian decomposition method (LADM). The effect of the numerical results indicates that the double approximation is handy to execute and reliable when applied. It is shown that numerical solutions are gained in the form of approximately series which are facilely computable.<\/jats:p>","DOI":"10.1155\/2021\/6662645","type":"journal-article","created":{"date-parts":[[2021,3,20]],"date-time":"2021-03-20T19:50:22Z","timestamp":1616269822000},"page":"1-10","source":"Crossref","is-referenced-by-count":17,"title":["New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8041-5841","authenticated-orcid":true,"given":"Mohamed Z.","family":"Mohamed","sequence":"first","affiliation":[{"name":"Department of Mathematics, Deanship of Preparatory Programs, University of Hail, Hail, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6946-9267","authenticated-orcid":true,"given":"Tarig M.","family":"Elzaki","sequence":"additional","affiliation":[{"name":"Mathematics Department, Faculty of Sciences and Arts-Al-Kamil, Jeddah University, Jeddah, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4005-9595","authenticated-orcid":true,"given":"Mohamed S.","family":"Algolam","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Deanship of Preparatory Programs, University of Hail, Hail, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1359-0201","authenticated-orcid":true,"given":"Eltaib M.","family":"Abd Elmohmoud","sequence":"additional","affiliation":[{"name":"Mathematics Department, Faculty of Sciences and Arts-Al-Kamil, Jeddah University, Jeddah, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8001-1548","authenticated-orcid":true,"given":"Amjad E.","family":"Hamza","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, University of Hail, Hail 8151, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","volume-title":"An Introduction to the Fractional Calculus and Fractional Differential Equations","author":"K. 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