TITLE:
Some New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications
AUTHORS:
Zhimin Zhao, Run Xu
KEYWORDS:
Modified, Riemann-Liouville, Fractional Derivative, Integral Inequalities, Delay Fractional Differential Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.5,
May
11,
2015
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.