Creator:

Echchaffani, Zoubida ; Aberqi, Ahmed ; Karite, Touria ; Leiva, Hugo

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

The existence of mild solutions and approximate controllability for nonlinear fractional neutral evolution systems

Group publication title:

AMCS, volume 34 (2024)

Subject and Keywords:

fractional neutral evolution system ; approximate controllablity ; mild solution ; Riemann-Liouville derivatives

Abstract:

The existence of mild solutions and approximate controllability for Reimann-Liouville fractional neutral evolution systems with nonlocal conditions of a fractional order is investigated. The Laplace transform and semigroup theory are the tools used to prove the existence. In turn, approximate controllability is proved on the basis of a Nemytskii operator, a Mittag-Leffler function and certain hypotheses using fixed point theorems, as well as the construction of a Cauchy sequence. An example is provided to highlight the main results.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2024

Resource Type:

artykuł

DOI:

10.61822/amcs-2024-0002

Pages:

15-27

Source:

AMCS, volume 34, number 1 (2024) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego