A POWERFUL ITERATIVE APPROACH for QUINTIC COMPLEX GINZBURG-LANDAU EQUATION within the FRAME of FRACTIONAL OPERATOR
Caputo Derivative; Fractional Natural Decomposition Method; Ginzburg-Landau Equation
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).
Yao S.-W.; Ilhan E.; Veeresha P.; Baskonus H.M.
All Open Access; Hybrid Gold Open Access
https://doi.org/10.1142/S0218348X21400235 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103454157&doi=10.1142%2fS0218348X21400235&partnerID=40&md5=2e20c5b13b9364cbea22be8fbfa4d8b3
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