Results 11 to 20 of about 485,864 (198)

The -Fractional Analogue for Gronwall-Type Inequality [PDF]

open access: yesJournal of Function Spaces and Applications, 2013
We utilize -fractional Caputo initial value problems of order to derive a -analogue for Gronwall-type inequality. Some particular cases are derived where -Mittag-Leffler functions and -exponential type functions are used.
Thabet Abdeljawad, Jehad O. Alzabut
doaj   +6 more sources

An Extension of the Fractional Gronwall Inequality

open access: yes, 2019
published
Ricardo Almeida 0001   +2 more
openaire   +4 more sources

On Nonlinear Integral Inequalities of Gronwall Type in Two Variables [PDF]

open access: yes, 2003
In this paper we obtain some new nonlinear integral inequality of Gronwall type involving functions of two independent variables which can be used in the analysis of the behavior of the solutions of some partial differential ...
Kim, Young-Ho, Dragomir, Sever S
core   +11 more sources

Gronwall-OuIang-Type Integral Inequalities on Time Scales [PDF]

open access: yesJournal of Inequalities and Applications, 2010
We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals.
Bohner Martin, Liu Ailian
doaj   +3 more sources

On integral inequalities of Gronwall-Bellman type [PDF]

open access: yesProceedings of the American Mathematical Society, 1985
A sharp bound is given for solutions of an integral inequality of the Gronwall-Bellman type. The bound which is the exact solution of the corresponding integral equation is obtained by reducing the equation to a system of differential equations.
Eutiquio C. Young
openaire   +2 more sources

A special integral and a Gronwall inequality [PDF]

open access: yesTransactions of the American Mathematical Society, 1976
This paper considers a special integral ( I ) ∫
Burrell W. Helton
openaire   +3 more sources

An impulsive nonlinear singular version of the Gronwall-Bihari inequality

open access: yesJournal of Inequalities and Applications, 2006
We find bounds for a Gronwall-Bihari type inequality for piecewise continuous functions. Unlike works in the prior literature, here we consider inequalities involving singular kernels in addition to functions with delays.
Tatar Nasser-Eddine
doaj   +2 more sources

Integral inequalities similar to Gronwall inequality

open access: yesElectronic Journal of Differential Equations, 2007
In the present paper, we establish some nonlinear integral inequalities for functions of one variable, with a further generalization functions with n independent variables.
Hassane Khellaf, Mohamed Denche
doaj   +2 more sources

The Gronwall inequality for weighted integrals

open access: yesProceedings of the American Mathematical Society, 1971
The objective of this paper is to establish a Gronwall inequality for the weighted refinement integral [ F , (
Wright, F. M.   +2 more
openaire   +3 more sources

A generalized Gronwall inequality and its application to fractional neutral evolution inclusions [PDF]

open access: yesJournal of Inequalities and Applications, 2016
This paper deals with the fractional neutral evolution differential inclusions. The existence results are established by using the fractional power of operators and a fixed point theorem for multivalued map.
Zufeng Zhang, Zhangzhi Wei
doaj   +2 more sources

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