A Powerful Iterative Approach for Quantic Complex Ginsburg–Landau Equation Within The Frame of Fractional Operator
Yazarlar (4)
Henan Polytechnic University, Çin
Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye
Christ University, Hindistan
Harran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Fractals (Q1) | ||
| Dergi ISSN | 0218-348X Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2021 |
| Cilt / Sayı / Sayfa | 29 / 5 / 1–13 | DOI | 10.1142/S0218348X21400235 |
| Makale Linki | http://dx.doi.org/10.1142/s0218348x21400235 | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 49 |
| SCOPUS | 56 |
| Google Scholar | 60 |