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A Powerful Iterative Approach for Quantic Complex Ginsburg–Landau Equation Within The Frame of Fractional Operator     
Yazarlar
Yao, Shao-Wen
 Esin İLHAN Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye
Veeresha P
Hacı Mehmet Başkonuş
Harran Üniversitesi, Türkiye
Özet
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.
Anahtar Kelimeler
Fractional Natural Decomposition Method | Caputo Derivative | Ginzburg-Landau Equation
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
Dergi ISSN 0218-348X
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 08-2021
Cilt No 29
Sayı 5
Sayfalar 1 / 13
Doi Numarası 10.1142/S0218348X21400235
Makale Linki http://dx.doi.org/10.1142/s0218348x21400235