{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T11:39:06Z","timestamp":1782992346627,"version":"3.54.5"},"reference-count":38,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2022,5,28]],"date-time":"2022-05-28T00:00:00Z","timestamp":1653696000000},"content-version":"vor","delay-in-days":147,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2022,1]]},"abstract":"<jats:p>This study employs a newly developed methodology called the variational homotopy perturbation transformation method to study fractional acoustic wave equations. The motivation for this study is to extend the variational homotopy perturbation technique to the variational homotopy perturbation transformation technique in the sense of the Yang\u2013Caputo\u2013Fabrizio operator. The suggested method demonstrated a straightforward and accurate technique for investigating fractional\u2010order partial differential equations. The technique\u2019s validity is demonstrated through the use of several illustrative instances. The obtained answers were found to be extremely near to the precise solutions. Additionally, the proposed strategy achieves the best degree of accuracy. Indeed, the current technique can be seen as one of the analytic strategies for solving nonlinear fractional partial differential equations compared to other analytical techniques.<\/jats:p>","DOI":"10.1155\/2022\/9712388","type":"journal-article","created":{"date-parts":[[2022,5,28]],"date-time":"2022-05-28T15:20:06Z","timestamp":1653751206000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Novel Evaluation of the Fractional Acoustic Wave Model with the Exponential\u2010Decay Kernel"],"prefix":"10.1155","volume":"2022","author":[{"given":"Rabab","family":"Alyusof","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shams","family":"Alyusof","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8548-7078","authenticated-orcid":false,"given":"Naveed","family":"Iqbal","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2892-1683","authenticated-orcid":false,"given":"Mohammad Asif","family":"Arefin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2022,5,28]]},"reference":[{"key":"e_1_2_9_1_2","article-title":"The fractional calculus","volume":"111","author":"Oldham K. 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