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 An efficient technique to analyze the fractional model of vector-borne diseases Subject The topic of the resource analyse; approach; borne; fractional; model; vector Description An account of the resource In the present work, we find and analyze the approximated analytical solution for the vector-borne diseases model of fractional order with the help of q -homotopy analysis transform method ( q -HATM). Many novel definitions of fractional derivatives have been suggested and utilized in recent years to build mathematical models for a wide range of complex problems with nonlocal effects, memory, or history. The primary goal of this work is to create and assess a Caputo-Fabrizio fractional derivative model for Vector-borne diseases. In this investigation, we looked at a system of six equations that explain how vector-borne diseases evolve in a population and how they affect community public health. With the influence of the fixed-point theorem, we establish the existence and uniqueness of the models system of solutions. Conditions for the presence of the equilibrium point and its local asymptotic stability are derived. We discover novel approximate solutions that swiftly converge. Furthermore, the future technique includes auxiliary parameters that are both trustworthy and practical for managing the convergence of the solution found. The current study reveals that the investigated model is notably dependent on the time chronology and also the time instant, which can be effectively studied with the help of the arbitrary order calculus idea. 2022 IOP Publishing Ltd. Creator An entity primarily responsible for making the resource Veeresha P.; Malagi N.S.; Prakasha D.G.; Baskonus H.M. Source A related resource from which the described resource is derived Physica Scripta, Vol-97, No. 5 Publisher An entity responsible for making the resource available IOP Publishing Ltd Date A point or period of time associated with an event in the lifecycle of the resource 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1088/1402-4896/ac607b" target="_blank" rel="noreferrer noopener">https://doi.org/10.1088/1402-4896/ac607b</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85128489739&amp;doi=10.1088%2F1402-4896%2Fac607b&amp;partnerID=40&amp;md5=8c6f6f87f3ef479c2a8332aa95c1f49a" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85128489739&amp;doi=10.1088%2f1402-4896%2fac607b&amp;partnerID=40&amp;md5=8c6f6f87f3ef479c2a8332aa95c1f49a</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 318949; CODEN: PHSTB 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; Malagi N.S., Department of Mathematics, Davangere University, Shivagangothri, Davangere, 577007, India; Prakasha D.G., Department of Mathematics, Davangere University, Shivagangothri, Davangere, 577007, India; Baskonus H.M., Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, Turkey