Hilfer分数阶脉冲系统的极值温和解
Extremal mild solutions of Hilfer fractional Impulsive systems
摘要:
将研究分数阶脉冲系统解的存在唯一性的单调迭代方法推广到Hilfer分数阶情形。利用上下解方法和格朗沃尔不等式得到了结果。同时,利用测度的非紧性条件对主要结果进行了有效的证明。
英文摘要:
The well established monotone iterative technique that is used to study the existence and uniqueness of fractional impulsive system is extended to Hilfer fractional order in this paper. The results are derived by using the method of upper and lower solution and Gronwall inequality. Also, conditions on non-compactness of measure is used effectively to prove the main result.
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