Some New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications

Zhimin Zhao, Run Xu^*

Department of Mathematics, Qufu Normal University, Qufu, China.

DOI: 10.4236/jamp.2015.35059                

Abstract

By using the properties of modified Riemann-Liouville fractional derivative, some new delay integral inequalities have been studied. First, we offered explicit bounds for the unknown functions, then we applied the results to the research concerning the boundness, uniqueness and continuous dependence on the initial for solutions to certain fractional differential equations.

Keywords

Modified, Riemann-Liouville, Fractional Derivative, Integral Inequalities, Delay Fractional Differential Equation

Conflicts of Interest

The authors declare no conflicts of interest.

References

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