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

Some New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications
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摘要 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. 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.
出处 《Journal of Applied Mathematics and Physics》 2015年第5期465-477,共13页 应用数学与应用物理(英文)
关键词 MODIFIED Riemann-Liouville FRACTIONAL DERIVATIVE INTEGRAL INEQUALITIES DELAY FRACTIONAL Differential Equation Modified Riemann-Liouville Fractional Derivative Integral Inequalities Delay Fractional Differential Equation
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