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Solvability of the fuzzy integral equations due to road traffic flow | ||
| Journal of Mathematical Modeling | ||
| مقاله 2، دوره 10، شماره 4، اسفند 2022، صفحه 403-415 اصل مقاله (178.41 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2022.21596.1895 | ||
| نویسندگان | ||
| Vahid Samadpour Khalifeh Mahaleh* 1؛ Reza Ezati2 | ||
| 1Department of Traffic Engineering, Amin Police University, Tehran, Iran | ||
| 2Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
| چکیده | ||
| In this research, we investigate the fuzzy integral equations related to traffic flow. Using the Banach fixed point theorem, we prove the existence and uniqueness of the solution for such equations. Using the Picard iterative method, we obtain the upper bound for an accurate and approximate solution. Finally, we obtain an error estimation between the exact solution and the solution of the iterative method. Example shows the applicabilityof our results. | ||
| کلیدواژه‌ها | ||
| Fuzzy integral equations؛ Traffic Flow؛ Iterative method | ||
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آمار تعداد مشاهده مقاله: 503 تعداد دریافت فایل اصل مقاله: 492 |
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