一类具有非局部条件的Sobolev型Hilfer分数阶发展方程的有限近似可控性

Finite-approximate controllability of Hilfer fractional evolution equations of Sobolev type with nonlocal conditions

研究了Hilbert空间中具有非局部条件的Sobolev型Hilfer分数阶发展方程的有限近似可控性.在控制系统对应的线性系统是近似可控的这一假设下,通过使用分数阶微积分理论、半群理论、变分法和Schaefer不动点定理,得到了控制系统有限近似可控的充分条件.

We discuss the finite-approximate controllability of Hilfer fractional evolution equations of Sobolev type with nonlocal conditions in Hilbert spaces.With the assumption that the corresponding linear system is approximately controllable,we obtain sufficient conditions for finite-approximate controllability of the control system by using fractional calculus,semigroup theory,variational analysis and Schaefer fixed point theorem.