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Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 بهمن 1401 اصل مقاله (1.46 MB) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2023.50144.2084 | ||
| نویسندگان | ||
Robab Alikhani ؛ Maryam Alamdari 
| ||
| Department of Mathematics, University of Tabriz, Tabriz, Iran. | ||
| چکیده | ||
| We aim at presenting results including analytical solutions to linear fully fuzzy Caputo-Fabrizio fractional differential equations. In such linear equations, the coefficients are fuzzy numbers and, as a useful approach, the cross product has been considered as a multiplication between the fuzzy data. This approach plays an essential role in simplifying of computation of analytical solutions of linear fully fuzzy problems. The obtained results have been applied for deriving explicit solutions of linear Caputo-Fabrizio differential equations with fuzzy coefficients and of the corresponding initial value problems. Some of the topics which are needed for the results of this study from the point of view of the cross product of fuzzy numbers have been explained in detail. We illustrate our technique and compare the effect of uncertainty of the coefficients and initial value on the related solutions. | ||
| کلیدواژه‌ها | ||
| Caputo-Fabrizio operator؛ Cross product؛ Initial value problem؛ Linear fuzzy differential equations | ||
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آمار تعداد مشاهده مقاله: 23 تعداد دریافت فایل اصل مقاله: 52 |
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