Abstract | ||
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In this paper, we study the extremal solutions of a fractional differential system involving the p-Laplacian operator and nonlocal boundary conditions. The conditions for the existence of the maximal and minimal solutions to the system are established. In addition, we also derive explicit formulae for the estimation of the lower and upper bounds of the extremal solutions, and establish a convergent iterative scheme for finding these solutions. We also give a special case in which the conditions for the existence of the extremal solutions can be easily verified. |
Year | DOI | Venue |
---|---|---|
2013 | 10.1016/j.aml.2013.06.014 | Applied Mathematics Letters |
Keywords | Field | DocType |
Extremal solutions,Iterative computation,p-Laplacian operator,Differential systems | Boundary value problem,Mathematical optimization,Explicit formulae,Differential systems,Mathematical analysis,Mathematics,Extremal length,Laplace operator,p-Laplacian,Computation,Special case | Journal |
Volume | Issue | ISSN |
26 | 12 | 0893-9659 |
Citations | PageRank | References |
2 | 0.41 | 7 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Shun-Jie Li | 1 | 29 | 3.26 |
Xinguang Zhang | 2 | 163 | 23.65 |
Yonghong Wu | 3 | 212 | 34.70 |
Lou Caccetta | 4 | 19 | 3.38 |