| Yazarlar |
Yao, Shao-Wen
|
Doç. Dr. 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 |
| Atıf Sayıları | |
| WoS | 47 |
| Google Scholar | 58 |
