Note on fractional difference Gronwall inequalities
نویسندگان
چکیده
منابع مشابه
Fractional difference inequalities of Gronwall – Bellman type
Discrete inequalities, in particular the discrete analogues of the Gronwall–Bellman inequality, have been extensively used in the analysis of finite difference equations. The aim of the present paper is to establish some fractional difference inequalities of Gronwall–Bellman type which provide explicit bounds for the solutions of fractional difference equations.
متن کاملGeneralized Gronwall inequalities and their applications to fractional differential equations
In this paper, we provide several generalizations of the Gronwall inequality and present their applications to prove the uniqueness of solutions for fractional differential equations with various derivatives.
متن کاملSome New Gronwall-Bellmann Type Discrete Fractional Inequalities Arising in the Theory of Discrete Fractional Calculus
In this paper, we present some new GronwallBellmann type discrete fractional sum inequalities, and based on them present some Volterra-Fredholm type discrete inequalities. These inequalities are of new forms compared with the existing results in the literature, and can be used in the research of boundedness and continuous dependence on the initial value for solutions of fractional difference eq...
متن کاملOn Some Gronwall Type Inequalities Involving Iterated Integrals
In this paper, some new Gronwall type inequalities involving iterated integrals are given.
متن کاملSome New Generalized Gronwall-Bellman Type Inequalities Arising In The Theory Of Fractional Differential-integro Equations
Abstract: In this paper, motivated by the research on qualitative properties of solutions for fractional differential-integro equations, some new Gronwall-Bellman type inequalities in two independent variables are established. Based on these inequalities, explicit bounds for unknown functions concerned are derived. As for applications, we apply the inequalities established to research boundedne...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2014
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2014.1.44