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Existence and uniqueness of fuzzy differential equations with jump | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 مرداد 1405 اصل مقاله (1.13 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.66757.3159 | ||
| نویسندگان | ||
| Samira Siahmansouri1؛ ٍEsmaeil Yousefi* 2؛ Mohammad Gholamian3 | ||
| 1Center of Mahan Hedaiat, University of Applied Science and Technology, Tehran, Iran. | ||
| 2Department of Mathematics and computer science, Science and Research branch, Islamic Azad University, Tehran, Iran. | ||
| 3Department of Mathematics and computer science, WT.C., Islamic Azad University, Tehran, Iran. | ||
| چکیده | ||
| A Fuzzy differential equation with jumps is a type of fuzzy differential equation driven by Lius process and a fuzzy renewal process which is called a fuzzy differential equation with jumps, to model the sharp drifts embedded in an uncertain dynamic system. Up to now, this paper, we provide and prove a novel existence and uniqueness theorem for the proposed equations under Local Lipschitz and monotone conditions. This result allows us to consider and analyze solutions to a wide range of nonlinear fuzzy differential equations driven by Lius process and fuzzy renewal process. | ||
| کلیدواژهها | ||
| Fuzzy differential equation؛ Fuzzy renewal process؛ Lius process؛ Credibility space | ||
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