Fixed point theorems in partially ordered Banach spaces with applications to nonlinear fractional evolution equations |
| |
| Authors: | He Yang Ravi P. Agarwal Hemant K. Nashine Yue Liang |
| |
| Affiliation: | 1.College of Mathematics and Statistics,Northwest Normal University,Lanzhou,People’s Republic of China;2.Department of Mathematics,Texas A& M University-Kingsville,Kingsville,USA;3.College of Science,Gansu Agricultural University,Lanzhou,People’s Republic of China |
| |
| Abstract: | In this paper, a notion of partially Hausdorff measure of noncompactness in partially ordered Banach spaces is introduced, and some Krasnoselskii-type fixed point theorems under certain mixed conditions are proved. Some applications of the obtained fixed point theorems are given to a class of fractional hybrid evolution equations for proving the existence of mild solutions under certain monotonicity conditions. At the end, an example of the fractional parabolic equation is given to illustrate the abstract results. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
