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Henry–Gronwall type retarded integral inequalities and their applications to fractional differential equations with delay

This paper presents retarded integral inequalities of Henry–Gronwall type. Applying these inequalities, we study certain properties of solutions to fractional differential equations with delay.

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Published in:	Applied mathematics and computation 2011-12, Vol.218 (8), p.4152-4160
Main Authors:	Ye, Haiping, Gao, Jianming
Format:	Article
Language:	English
Subjects:	Computation Delay Differential equation Differential equations Exact sciences and technology Fractional order Inequalities Integral inequality Integrals Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use
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description	This paper presents retarded integral inequalities of Henry–Gronwall type. Applying these inequalities, we study certain properties of solutions to fractional differential equations with delay.
doi_str_mv	10.1016/j.amc.2011.09.046
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subjects	Computation Delay Differential equation Differential equations Exact sciences and technology Fractional order Inequalities Integral inequality Integrals Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use
title	Henry–Gronwall type retarded integral inequalities and their applications to fractional differential equations with delay
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