Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Analysis of a mathematical model of the aggregation process of cellular slime mold within the frame of fractional calculus Subject The topic of the resource -homotopy analysis method; Caputo derivative; KellerSegel model; Laplace transform Description An account of the resource The pivotal aim of the present study is to find the solution for a nonlinear system describing the aggregation process of cellular slime mold by using (Formula presented.) -homotopy analysis transform method. The coupled system is considered within the frame of the Caputo fractional operator. We examine three different cases with distinct values of sensitivity function (Formula presented.), (Formula presented.) and (Formula presented.) to exemplify the efficiency and applicability of the considered scheme. We capture the nature of the obtained results with respect to the fractional order, with distinct initial conditions, and illustrate them using 2D and 3D plots for particular values of the parameters. The considered scheme offers parameters, which help to adjust the convergence region, and we plotted the ?-curves to dissipate the effect in the present framework. Moreover, some simulating and important behavior of the considered model using attained results shows the prominence of the hired operator while analyzing the coupled equations and confirms the competence of the projected scheme. 2023 Informa UK Limited, trading as Taylor &amp; Francis Group. Creator An entity primarily responsible for making the resource Veeresha P.; Prakasha D.G.; Baishya C.; Baskonus H.M. Source A related resource from which the described resource is derived International Journal of Modelling and Simulation Publisher An entity responsible for making the resource available Taylor and Francis Ltd. Date A point or period of time associated with an event in the lifecycle of the resource 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1080/02286203.2023.2249640" target="_blank" rel="noreferrer noopener">https://doi.org/10.1080/02286203.2023.2249640</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85168890345&amp;doi=10.1080%2F02286203.2023.2249640&amp;partnerID=40&amp;md5=af3e91a1ff8546c2225535a04a3c5c47" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85168890345&amp;doi=10.1080%2f02286203.2023.2249640&amp;partnerID=40&amp;md5=af3e91a1ff8546c2225535a04a3c5c47</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 2286203; CODEN: IMSIE Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India; Prakasha D.G., Department of Mathematics, Davangere University, Davangere, India; Baishya C., Department of Studies and Research in Mathematics, Tumkur University, Tumkur, India; Baskonus H.M., Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, Turkey