Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi’s function

作者:

Highlights:

• Approximate controllability of fractional differential inclusions is studied.

• We use Bohnenblust–Karlin’s fixed point theorem, Mainardi’s function.

• Caputo fractional derivative is employed in term of Riemann–Liouville’s derivative.

• An illustrative example is provided to show the effectiveness of the obtained theory.

摘要

•Approximate controllability of fractional differential inclusions is studied.•We use Bohnenblust–Karlin’s fixed point theorem, Mainardi’s function.•Caputo fractional derivative is employed in term of Riemann–Liouville’s derivative.•An illustrative example is provided to show the effectiveness of the obtained theory.

论文关键词:Approximate controllability,Fixed point theorem,Fractional differential inclusion,Multivalued maps

论文评审过程:Available online 3 February 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.01.035