An operator theoretical approach to Riemann‐Liouville fractional Cauchy problem |
| |
| Authors: | Zhan‐Dong Mei Ji‐Gen Peng Yang Zhang |
| |
| Institution: | 1. School of Mathematics and Statistics, Xi'an Jiaotong University, P. R. China;2. Xi'an Technological University North Institute of Information Engineering, Xi'an, P. R. China |
| |
| Abstract: | This paper is concerned with developing an operator theory for Riemann‐Liouville fractional Cauchy problem. Two notions, named Riemann‐Liouville fractional resolvent and solution operator, are developed. Some of their properties are deduced. Moreover, the obtained results are applied to Riemann‐Liouville fractional Cauchy problem. |
| |
| Keywords: | Riemann‐Liouville fractional Cauchy problem Riemann‐Liouville fractional resolvent Primary: 45N05 Secondary: 47D99 |
|
