具有积分脉冲条件的分数阶发展方程的近似可控性

Approximate controllability of fractional order evolution equations with integral impulse conditions

研究了一类具有积分脉冲条件的分数阶发展方程,通过使用不动点定理和非紧测度方法,得到了适度解存在的充分条件,也给出了系统近似可控性的合适条件,最后,通过一个算例验证了所获得结果的可靠性.

In the paper,we study a class of fractional evolution equations with integral impulse conditions.By using fixed point theorem and noncompact measure method,we obtain a sufficient condition to ensure the existence of mild solution.A suitable condition for approximate controllability is formulated.Finally,an example is given to explain the reliability of the results.