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 POWERFUL ITERATIVE APPROACH for QUINTIC COMPLEX GINZBURG-LANDAU EQUATION within the FRAME of FRACTIONAL OPERATOR Subject The topic of the resource Caputo Derivative; Fractional Natural Decomposition Method; Ginzburg-Landau Equation Description An account of the resource The study of nonlinear phenomena associated with physical phenomena is a hot topic in the present era. The fundamental aim of this paper is to find the iterative solution for generalized quintic complex Ginzburg-Landau (GCGL) equation using fractional natural decomposition method (FNDM) within the frame of fractional calculus. We consider the projected equations by incorporating the Caputo fractional operator and investigate two examples for different initial values to present the efficiency and applicability of the FNDM. We presented the nature of the obtained results defined in three distinct cases and illustrated with the help of surfaces and contour plots for the particular value with respect to fractional order. Moreover, to present the accuracy and capture the nature of the obtained results, we present plots with different fractional order, and these plots show the essence of incorporating the fractional concept into the system exemplifying nonlinear complex phenomena. The present investigation confirms the efficiency and applicability of the considered method and fractional operators while analyzing phenomena in science and technology. 2021 The Author(s). Creator An entity primarily responsible for making the resource Yao S.-W.; Ilhan E.; Veeresha P.; Baskonus H.M. Source A related resource from which the described resource is derived Fractals, Vol-29, No. 5 Publisher An entity responsible for making the resource available World Scientific 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/10.1142/S0218348X21400235" target="_blank" rel="noreferrer noopener">https://doi.org/10.1142/S0218348X21400235</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103454157&amp;doi=10.1142%2FS0218348X21400235&amp;partnerID=40&amp;md5=2e20c5b13b9364cbea22be8fbfa4d8b3" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103454157&amp;doi=10.1142%2fS0218348X21400235&amp;partnerID=40&amp;md5=2e20c5b13b9364cbea22be8fbfa4d8b3</a> Rights Information about rights held in and over the resource All Open Access; Hybrid Gold Open Access Relation A related resource ISSN: 0218348X 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 Yao S.-W., School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, China; Ilhan E., Kirsehir Ahi Evran University, Kirsehir, Turkey; Veeresha P., Department of Mathematics, Christ (Deemed to Be University), Bangalore, 560029, India; Baskonus H.M., Harran University, Sanliurfa, Turkey