Name
Abstract | ||
|---|---|---|
In this paper, we study the existence of solutions for nonlinear fractional differential equations and inclusions of order q@?(1,2] with families of mixed and closed boundary conditions. In case of inclusion problems, the existence results are established for convex as well as nonconvex multivalued maps. Our results are based on Leray-Schauder degree theory, nonlinear alternative of Leray-Schauder type, and some fixed point theorems for multivalued maps. Some interesting special cases are also discussed. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2011.02.035 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
leray-schauder type,leray–schauder theory,multivalued map,nonconvex multivalued map,nonlinear alternative,leray-schauder degree theory,fixed point theorems for multivalued maps,nonlinear fractional differential equation,existence,existence result,mixed and closed boundary conditions,fractional differential equations,boundary value problem,inclusion problem,closed boundary condition,fixed point theorem,boundary condition | Differential equation,Schauder fixed point theorem,Boundary value problem,Mathematical optimization,Nonlinear system,Mathematical analysis,Regular polygon,Fixed-point theorem,Mathematics | Journal |
Volume | Issue | ISSN |
62 | 3 | Computers and Mathematics with Applications |
Citations | PageRank | References |
8 | 0.86 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bashir Ahmad | 1 | 356 | 55.67 |
| Juan J. Nieto | 2 | 559 | 81.45 |
| Johnatan Pimentel | 3 | 8 | 0.86 |