Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order ?
In this paper, we use the monotone iterative technique combined with cone theory to investigate the existence of solutions to the Cauchy problem for Caputo fractional differential equations in Banach spaces. New existence theorems are obtained for the case of a cone P P being normal and fully regular respectively. Moreover, two examples are given to illustrate the abstract results.
banach space monotone iterative technique cone fractional differential equation