Name
Title | ||
|---|---|---|
Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order |
Abstract | ||
|---|---|---|
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 being normal and fully regular respectively. Moreover, two examples are given to illustrate the abstract results. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2011.04.027 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
cone p,abstract result,fractional order,banach space,cone,caputo fractional differential equation,new existence theorem,monotone iterative technique,fractional differential equation,cone theory,cauchy problem,differential equation | Cauchy problem,Differential equation,Picard–Lindelöf theorem,Mathematical optimization,C0-semigroup,Mathematical analysis,Banach space,Initial value problem,Elliptic partial differential equation,Mathematics,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
62 | 3 | Computers and Mathematics with Applications |
Citations | PageRank | References |
2 | 0.43 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhi-Wei Lv | 1 | 2 | 0.77 |
| Jin Liang | 2 | 40 | 11.57 |
| Ti-Jun Xiao | 3 | 19 | 5.06 |