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 Book Chapter Book Chapter Faculty Publications- Book Chapter 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 Dynamics of the Dadras-Momeni System in the Frame of the Caputo-Fabrizio Fractional Derivative Description An account of the resource Investigation of chaos in dynamical systems is one of the most fascinating issues that has received a lot of attention across a variety of scientific domains. One such dynamical system which generates two, three, and four-scroll chaotic attractors with a single parameter change, is the novel Dadras-Momeni system. In this study, we have analyzed the Dadras-Momeni system in the frame of the Caputo-Fabrizio fractional derivative. Theoretical aspects such as boundedness, existence, and uniqueness of solutions are presented. A detailed analysis is presented regarding the stability of points of equilibrium. To regulate chaos in this fractional-order system with unpredictable dynamics, a sliding mode controller is developed and the global stability of the system with control law is established. Later, we introduced uncertainties and external disturbances to the controlled system, and the condition of global stability is derived. To perform numerical simulation we have identified certain values of the parameters where the system exhibits chaotic behavior. Then the theoretical claims about the influence of the controller on the system are established with the help of numerical simulations. 2023 Taylor &amp; Francis Group, LLC. Creator An entity primarily responsible for making the resource Baishya C.; Veeresha P. Source A related resource from which the described resource is derived Special Functions in Fractional Calculus and Engineering, pp. 241-269. Publisher An entity responsible for making the resource available CRC Press 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/10.1201/9781003368069-11" target="_blank" rel="noreferrer noopener">https://doi.org/10.1201/9781003368069-11</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85163493507&amp;doi=10.1201%2F9781003368069-11&amp;partnerID=40&amp;md5=d6e0fc9e2c89e0e5bce099fa35ac378c" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85163493507&amp;doi=10.1201%2f9781003368069-11&amp;partnerID=40&amp;md5=d6e0fc9e2c89e0e5bce099fa35ac378c</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISBN: 978-100089975-7; 978-103243500-8 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 Book chapter Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Baishya C., Department of Studies and Research in Mathematics, Tumkur University, Tumkur, India; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India