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, issue 1

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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https://doi.org/10.1155/2014/841718

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:841718

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