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 Regarding on the fractional mathematical model of tumour invasion and metastasis Subject The topic of the resource Caputo-Fabrizio derivative; Invasion and metastasis; Q-homotopy analysis transform method; Tumour cell Description An account of the resource In this paper, we analyze the behaviour of solution for the system exemplifying model of tumour invasion and metastasis by the help of q-homotopy analysis transform method (q-HATM) with the fractional operator. The analyzed model consists of a system of three nonlinear differential equations elucidating the activation and the migratory response of the degradation of the matrix, tumour cells and production of degradative enzymes by the tumour cells. The considered method is graceful amalgamations of q-homotopy analysis techniquewith Laplace transform(LT), and Caputo-Fabrizio (CF) fractional operator is hired in the present study. By using the fixed point theory, existence and uniqueness are demonstrated. To validate and present the effectiveness of the considered algorithm, we analyzed the considered system in terms of fractional order with time and space. The error analysis of the considered scheme is illustrated. The variations with small change time with respect to achieved results are effectively captured in plots. The obtained results confirm that the considered method is very efficient and highly methodical to analyze the behaviors of the system of fractional order differential equations. 2021 Tech Science Press. All rights reserved. Creator An entity primarily responsible for making the resource Veeresha P.; Ilhan E.; Prakasha D.G.; Baskonus H.M.; Gao W. Source A related resource from which the described resource is derived CMES - Computer Modeling in Engineering and Sciences, Vol-127, No. 3, pp. 1013-1036. Publisher An entity responsible for making the resource available Tech Science Press Date A point or period of time associated with an event in the lifecycle of the resource 2021-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.32604/cmes.2021.014988" target="_blank" rel="noreferrer noopener">https://doi.org/10.32604/cmes.2021.014988</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107588780&amp;doi=10.32604%2Fcmes.2021.014988&amp;partnerID=40&amp;md5=fe5eea94ae45ee6044289fc290f47a2a" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107588780&amp;doi=10.32604%2fcmes.2021.014988&amp;partnerID=40&amp;md5=fe5eea94ae45ee6044289fc290f47a2a</a> Rights Information about rights held in and over the resource All Open Access; Gold Open Access Relation A related resource ISSN: 15261492 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., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Ilhan E., Faculty of Engineering and Architecture, Kirsehir Ahi Evran University, Kirsehir, 40500, Turkey; Prakasha D.G., Department of Mathematics, Faculty of Science, Davangere University, Shivagangothri, Davangere, 577007, India; Baskonus H.M., Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, 63050, Turkey; Gao W., School of Information Science and Technology, Yunnan Normal University, Kunming, 650500, China