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Existence and properties of positive solutions for Caputo fractional difference equation and applications | ||
Computational Methods for Differential Equations | ||
مقاله 1، دوره 10، شماره 3، مهر 2022، صفحه 567-579 اصل مقاله (356 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 differential equation. This equation appears in important applications such as modeling of medicine distributed throughout the body via injection and equation for general population growth. We use the 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 | ||
مراجع | ||
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آمار تعداد مشاهده مقاله: 510 تعداد دریافت فایل اصل مقاله: 666 |