{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T07:17:08Z","timestamp":1767165428193,"version":"build-2238731810"},"reference-count":43,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,4,15]],"date-time":"2020-04-15T00:00:00Z","timestamp":1586908800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002383","name":"King Saud University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002383","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,4,15]]},"abstract":"<jats:p>In this paper, a new so-called iterative Laplace transform method is implemented to investigate the solution of certain important population models of noninteger order. The iterative procedure is combined effectively with Laplace transformation to develop the suggested methodology. The Caputo operator is applied to express the noninteger derivative of fractional order. The series form solution is obtained having components of convergent behavior toward the exact solution. For justification and verification of the present method, some illustrative examples are discussed. The closed contact is observed between the obtained and exact solutions. Moreover, the suggested method has a small volume of calculations; therefore, it can be applied to handle the solutions of various problems with fractional-order derivatives.<\/jats:p>","DOI":"10.1155\/2020\/5047054","type":"journal-article","created":{"date-parts":[[2020,4,15]],"date-time":"2020-04-15T19:36:43Z","timestamp":1586979403000},"page":"1-13","source":"Crossref","is-referenced-by-count":7,"title":["An Analytical Investigation of Fractional-Order Biological Model Using an Innovative Technique"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6417-1181","authenticated-orcid":true,"given":"Hassan","family":"Khan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7845-609X","authenticated-orcid":true,"given":"Adnan","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan"}]},{"given":"Maysaa","family":"Al Qurashi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, King Saud University, Riyadh 11495, Saudi Arabia"}]},{"given":"Dumitru","family":"Baleanu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey"},{"name":"Institute of Space Sciences, Magurele-Bucharest, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4306-8489","authenticated-orcid":true,"given":"Rasool","family":"Shah","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-019-2441-5"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/access.2019.2946946"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.3934\/dcdss.2020058"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1051\/mmnp\/2019002"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.3934\/dcdss.2020145"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.12.003"},{"issue":"3","key":"7","first-page":"1","volume":"9","year":"2019","journal-title":"An International Journal of Optimization and Control: Theories andApplications (IJOCTA)"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1515\/tmj-2017-0010"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.2478\/s13531-013-0141-6"},{"key":"10","first-page":"153","year":"2012"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/i2018-12007-1"},{"key":"12","year":"2012"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2020.109691"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.109437"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.18280\/ijht.370322"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cjph.2019.08.014"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1109\/access.2019.2919475"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1101\/sqb.1933.001.01.014"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/s0006-3495(95)80157-8"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.04.032"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/5602565"},{"key":"22","first-page":"11","volume":"49","year":"1993","journal-title":"Modelling Measurement and Control a General Physics Electronics and Electrical Engineering"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2010.06.022"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.03.032"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.07.006"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.3389\/fphy.2019.00244"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2009.09.020"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.04.015"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jksus.2010.07.021"},{"issue":"11","key":"30","first-page":"975","volume":"11","year":"2014","journal-title":"Walailak Journal of Science and Technology (WJST)"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.08.022"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2007.06.016"},{"key":"33","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2008.09.045"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.3390\/app10020610"},{"key":"36","doi-asserted-by":"publisher","DOI":"10.1002\/num.20463"},{"key":"37","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2012.11.014"},{"key":"38","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/465160"},{"key":"39","doi-asserted-by":"publisher","DOI":"10.1007\/s40819-020-0786-9"},{"issue":"1","key":"40","first-page":"81","volume":"9","year":"2015","journal-title":"Annals of Pure and Applied Mathematics"},{"key":"41","doi-asserted-by":"publisher","DOI":"10.3390\/math7060505"},{"key":"42","doi-asserted-by":"publisher","DOI":"10.3390\/e21060597"},{"key":"43","doi-asserted-by":"publisher","DOI":"10.1088\/0253-6102\/52\/6\/04"},{"key":"44","doi-asserted-by":"publisher","DOI":"10.1016\/s0893-9659(00)00066-5"}],"updated-by":[{"DOI":"10.1155\/2021\/3789567","type":"retraction","label":"Retraction","source":"retraction-watch","updated":{"date-parts":[[2021,2,23]],"date-time":"2021-02-23T00:00:00Z","timestamp":1614038400000},"record-id":"26237"},{"DOI":"10.1155\/2021\/3789567","type":"retraction","label":"Retraction","source":"publisher","updated":{"date-parts":[[2021,2,23]],"date-time":"2021-02-23T00:00:00Z","timestamp":1614038400000}}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/5047054.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/5047054.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/5047054.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,15]],"date-time":"2020-04-15T19:36:46Z","timestamp":1586979406000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/5047054\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,15]]},"references-count":43,"alternative-id":["5047054","5047054"],"URL":"https:\/\/doi.org\/10.1155\/2020\/5047054","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,4,15]]}}}