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2014 A Generalized Henry-Type Integral Inequality and Application to Dependence on Orders and Known Functions for a Fractional Differential Equation
Jun Zhou
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/841718

Abstract

We discuss on integrable solutions for a generalized Henry-type integral inequality in which weak singularity and delays are involved. Not requiring continuity or differentiability for some given functions, we use a modified iteration argument to give an estimate of the unknown function in terms of the multiple Mittag-Leffler function. We apply the result to give continuous dependence of solutions on initial data, derivative orders, and known functions for a fractional differential equation.

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Jun Zhou. "A Generalized Henry-Type Integral Inequality and Application to Dependence on Orders and Known Functions for a Fractional Differential Equation." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/841718

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131911
MathSciNet: MR3232934
Digital Object Identifier: 10.1155/2014/841718

Rights: Copyright © 2014 Hindawi

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