Skip to content

B. M. Ahmed, A. Y. Akinyele and J. B. Omosowon, Results of semigroup of linear operators generated by fractional powers of closed operators, Eur. J. Math. Appl. 5 (2025), Article ID 6.

Full Text: PDF

Volume 5 (2025), Article ID 6

https://doi.org/10.28919/ejma.2025.5.6

Published: 04/02/2025

Abstract:

This paper presents the results of $\omega$-order reversing partial contraction mapping generated by fractional powers of closed operators. We consider the fractional powers of closed operators by defining the fractional power of the negative of an infinitesimal generator of a $C_0$-semigroup. We obtained results of fractional powers generated by $-A$ and showed that the operator is linear, closed, and convergent. Furthermore, we established that the operator in injective, bounded in $\mathcal{L}(X)$ and $D(A^\alpha)$ is dense in $X$.

How to Cite:

B. M. Ahmed, A. Y. Akinyele and J. B. Omosowon, Results of semigroup of linear operators generated by fractional powers of closed operators, Eur. J. Math. Appl. 5 (2025), Article ID 6. https://doi.org/10.28919/ejma.2025.5.6