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Prolific new M-fractional soliton behaviors to the Schrödinger type Ivancevic option pricing model by two efficient techniques | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 02 شهریور 1402 اصل مقاله (1.86 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2023.56140.2345 | ||
| نویسندگان | ||
| Yeşim Saglam Ozkan؛ Emrullah Yasar* | ||
| Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, 16059 Bursa, Turkey. | ||
| چکیده | ||
| The principal purpose of this research is to study the M-fractional nonlinear quantum-probability grounded Schrodinger kind Ivancevic option pricing model (IOPM). This well-known economic model is an alternative to the standard Black{Scholes pricing model which represents a controlled Brownian motion in an adaptive setting with relation to the nonlinear Schrodinger equation. The exact solutions of the underlying equation have been derived through the well-organized extended modified auxiliary equation mapping and generalized exponential rational function methods. Different forms of optical wave structures, including dark, bright, and singular solitons, are derived. To the best of our knowledge, verified solutions using Maple are new. The results obtained will contribute to the enrichment of the existing literature on the model under consideration. Moreover, some sketches are plotted to show more about the dynamic behavior of this model. | ||
| کلیدواژه‌ها | ||
| The extended modified auxiliary equation mapping method؛ The generalized exponential rational function method؛ Ivancevic option pricing model؛ M-fractional derivative | ||
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آمار تعداد مشاهده مقاله: 8 تعداد دریافت فایل اصل مقاله: 26 |
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