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Existence and properties of positive solutions for Caputo fractional difference equation and Applications | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 آذر 1400 اصل مقاله (231.82 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2021.46257.1941 | ||
| نویسندگان | ||
Tahereh Haghi؛ Kazem Ghanbari 
| ||
| Department of Mathematics, Sahand University of Technology, Tabriz, Iran. | ||
| چکیده | ||
| This paper deals with a typical Caputo fractional difference equation. This equation appears in important applications such as modelling of medicine distributing throughout the body via injection and equation for general population growth. We use fixed point theory of concave operators in specific normed spaces to find a parameter interval for which the unique positive solution exists. Some properties of positive solutions are studied and illustrative examples are given. | ||
| کلیدواژه‌ها | ||
| Green's function؛ Positive solution؛ Fixed point theorem؛ fractional difference equation | ||
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آمار تعداد مشاهده مقاله: 37 تعداد دریافت فایل اصل مقاله: 69 |
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