On the ``bang-bang'' principle for a class of Riemann-Liouville fractional semilinear evolution inclusions

In: Mathematica Slovaca, vol. 66, no. 6

Zhenhai Liu - Maojun Bin - Xiaoyou Liu

Detaily:

Rok, strany: 2016, 1329 - 1344

Kľúčové slová:

fractional evolution inclusions, Riemann-Liouville fractional derivative, C1−α-mild solution, “bangbang” principle

DOI: https://doi.org/10.1515/ms-2016-0226

O článku:

In this paper, we research the existence of solutions for a class of Riemann-Liouville fractional evolution inclusions with nonconvex right hand side. Our main results obtain the existence of the extreme solution and the relationship of the solution sets between the original problem and the convexified problem. In the end, we give an example to illustrate the applications of the abstract results.

Ako citovať:

ISO 690:

Liu, Z., Bin, M., Liu, X. 2016. On the ``bang-bang'' principle for a class of Riemann-Liouville fractional semilinear evolution inclusions. In Mathematica Slovaca, vol. 66, no.6, pp. 1329-1344. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0226

APA:

Liu, Z., Bin, M., Liu, X. (2016). On the ``bang-bang'' principle for a class of Riemann-Liouville fractional semilinear evolution inclusions. Mathematica Slovaca, 66(6), 1329-1344. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0226

O vydaní:

Publikované: 1. 12. 2016