کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626834 1631795 2015 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some new generalized Gronwall–Bellman type discrete fractional inequalities
ترجمه فارسی عنوان
برخی از نابرابری های فرا ریز گسسته گرونوالله بلمن را به طور کلی تعمیم داده اند
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی


• Some new Gronwall–Bellman type discrete fractional inequalities are established.
• Explicit bounds for unknown functions in fractional inequalities are derived.
• Properties of solutions of one certain fractional difference equation are researched.

In this paper, we present some new generalized Gronwall–Bellman type discrete fractional inequalities including fractional sum inequalities and fractional difference inequalities. These inequalities are of new forms compared with the existing results so far in the literature, and can be used to provide explicit bounds for unknown functions concerned. For illustrating the effectiveness of the presented results, we apply them to research qualitative and quantitative properties for the solutions of an IVP with respect to a fractional difference equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 259, 15 May 2015, Pages 403–411
نویسندگان
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