A Generalized Henry-Type Integral Inequality and Application to Dependence on Orders and Known Functions for a Fractional Differential Equation

Jun Zhou

Journal of Applied Mathematics, 2014, vol. 2014, 1-12

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:841718

DOI: 10.1155/2014/841718

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