| Volume 10, Number 5, 2020, Pages 1823-1847 DOI：10.11948/20190211 |
| Mixed monotone iterative technique for Hilfer fractional evolution equations with nonlocal conditions |
| Haide Gou,Yongxiang Li,Qixiang Li |
| Keywords:Mixed monotone iterative technique, coupled $L$-quasi-upper and lower solutions, Hilfer fractional derivative, measure of noncompactness. |
| Abstract: |
| The purpose of this paper is concerned with the existence of mild $L$-quasi-solutions for Hilfer fractional evolution equations with nonlocal conditions in an ordered Banach spaces $E$. By employing mixed monotone iterative technique, measure of noncompactness and Sadovskii""s fixed point theorem, we obtain the existence of mild $L$-quasi-solutions for Hilfer fractional evolution equations
with noncompact semigroups. Finally, an example is provide to illustrate the feasibility of our main results. |
PDF Download reader
|
|
|
|