Name
Title | ||
|---|---|---|
Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls |
Abstract | ||
|---|---|---|
This paper investigates the existence and uniqueness of mild solutions for a class of Sobolev type fractional nonlocal abstract evolution equations in Banach spaces. We use fractional calculus, semigroup theory, a singular version of Gronwall inequality and Leray-Schauder fixed point theorem for the main results. A new kind of Sobolev type appears in terms of two linear operators is introduced. To extend previous works in the field, an existence result of optimal multi-control pairs governed by the presented system is proved. Finally, an example is also given to illustrate the obtained theory. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.amc.2014.07.073 | Applied Mathematics and Computation |
Keywords | Field | DocType |
fractional power of operators,nonlocal condition,fractional evolution equation,mild solution,optimal multi-controls,sobolev type equation | Uniqueness,Mathematical optimization,Mathematical analysis,Sobolev space,Banach space,Sobolev inequality,Fractional calculus,Semigroup,Fixed-point theorem,Mathematics,Gronwall's inequality | Journal |
Volume | Issue | ISSN |
245 | C | 0096-3003 |
Citations | PageRank | References |
11 | 0.93 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Amar Debbouche | 1 | 91 | 10.43 |
| Juan J. Nieto | 2 | 559 | 81.45 |