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 A unifying computational framework for fractional Gross-Pitaevskii equations Subject The topic of the resource caputo derivative; gross-pitaevskii equations; laplace transform; q-homotopy analysis method Description An account of the resource This paper concerns investigating the complex behaviour of the special case of Schringer equation called Gross-Pitaevskii (GP) equations using -homotopy analysis transform method (-HATM) with fractional order. Based on denticity function and different initial conditions, we consider three different examples to demonstrate the proficiency of -HATM. We consider different initial conditions for the hired system and the projected method is elegant unification of -homotopy analysis algorithm and Laplace transform. Further, the physical natures of the achieved results have been captured for change in space, time, homotopy parameter and fractional order in terms of contour and surface plots, and the accuracy is presented with the numerical study. The obtained results conclude that, the hired technique is highly methodical, easy to implement and accurate to examine the behaviour of the nonlinear equations of both fractional and integer order describing allied areas of science. 2021 IOP Publishing Ltd. Creator An entity primarily responsible for making the resource Veeresha P.; Baleanu D. Source A related resource from which the described resource is derived Physica Scripta, Vol-96, No. 12 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 2021-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1088/1402-4896/ac28c9" target="_blank" rel="noreferrer noopener">https://doi.org/10.1088/1402-4896/ac28c9</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85117128585&amp;doi=10.1088%2F1402-4896%2Fac28c9&amp;partnerID=40&amp;md5=1f141ec661b779c86bab87451124021b" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85117128585&amp;doi=10.1088%2f1402-4896%2fac28c9&amp;partnerID=40&amp;md5=1f141ec661b779c86bab87451124021b</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., Centre for Mathematical Needs, Department of Mathematics, CHRIST, Deemed to Be University, Bengaluru, 560029, India; Baleanu D., Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Eskisehir Yolu 29. Km, Yukariyurtcu Mahallesi Mimar Sinan Caddesi, Etimesgut, 406790, Turkey, Institute of Space Sciences, Magurele-Bucharest, Romania