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- Title
Existence and Approximate Controllability of Mild Solutions for Fractional Evolution Systems of Sobolev-Type.
- Authors
Liang, Yue
- Abstract
This paper investigates the existence and approximate controllability of Riemann–Liouville fractional evolution systems of Sobolev-type in abstract spaces. At first, a group of sufficient conditions is established for the existence of mild solutions without the compactness of operator semigroup. Then the approximate controllability is studied under the assumption that the corresponding linear system is approximate controllability. The proof is based on the fixed point theory and the method of operator semigroup. An example is given as an application of the obtained results.
- Subjects
RIEMANN integral; SOBOLEV spaces; SEMIGROUPS (Algebra); APPROXIMATE solutions (Logic); LINEAR systems
- Publication
Fractal & Fractional, 2022, Vol 6, Issue 2, p56
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract6020056