【摘要】 引入了函数α阶连续的概念,给出了分数阶连续的两个充分条件和一个必要条件,以及不同分数阶连续的关系,讨论了Riemann-Liouville分数阶积分函数的连续性,并给出了任意阶R-L积分连续的一个充分条件。更多还原

【Abstract】 We introduced the concept of α order continuous function and gave two sufficient conditions and a necessary condition for the continuity,as well as relationship between the different fractional continuity.Furthermore,we discussed the continuity of the Riemann-Liouville fractional integral function and gave a sufficient condition under which an arbitrary order Riemann-Liouville fractional integral is continuous.更多还原