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 and dynamics of the Ivancevic option pricing model with a novel fractional calculus approach Subject The topic of the resource Atangana-Baleanu derivative; Ivancevic option pricing model; Laplace transform; q-homotopy analysis method; q-homotopy analysis transform method Description An account of the resource The aim of the current study is to capture the complex behavior of the Ivancevic option pricing (IOP) model using the (Formula presented.) -homotopy analysis transform method ((Formula presented.) -HATM) with novel fractional operator. The generalization of the Black-Scholes model with the nonlinear Schringer equation plays a pivotal role in financial mathematics in studying the option-pricing wave function associated with two parameters. Based on adaptive market potential and volatility constant with distinct initial situations, we hired three distinct cases to exemplify the ability of (Formula presented.) -HATM. The considered method is elegant unification of the (Formula presented.) -homotopy analysis and Laplace transform algorithms. The derivative of fractional order is projected with the Atangana-Baleanu (AB) operator. The fixed-point theorem is used to present the existence and uniqueness of the attained result for the considered model, and we hire five distinct initial conditions. The hired scheme is highly methodical and exact to analyze the insights of the complex system with integer and fractional order exemplifying associated areas of science, which can be observed using plots and table. 2022 Informa UK Limited, trading as Taylor &amp; Francis Group. Creator An entity primarily responsible for making the resource Veeresha P.; Kumar D. Source A related resource from which the described resource is derived Waves in Random and Complex Media 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 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1080/17455030.2022.2070684" target="_blank" rel="noreferrer noopener">https://doi.org/10.1080/17455030.2022.2070684</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85132931368&amp;doi=10.1080%2F17455030.2022.2070684&amp;partnerID=40&amp;md5=0bfcf818b5169f422ffb7354ef90c34a" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85132931368&amp;doi=10.1080%2f17455030.2022.2070684&amp;partnerID=40&amp;md5=0bfcf818b5169f422ffb7354ef90c34a</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 17455030 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, India; Kumar D., Department of Mathematics, University of Rajasthan, Jaipur, India