Advances in Pure Mathematics

Volume 3, Issue 8 (November 2013)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

Google-based Impact Factor: 0.48  Citations  

On Maximal Regularity and Semivariation of α-Times Resolvent Families*

HTML  Download Download as PDF (Size: 213KB)  PP. 680-684  
DOI: 10.4236/apm.2013.38091    4,431 Downloads   6,397 Views  Citations
Author(s)

ABSTRACT

Let and A be the generator of an -times resolvent family on a Banach space X. It is shown that the fractional Cauchy problem has maximal regularity on if and only if is of bounded semivariation on .

Share and Cite:

F. Li and M. Li, "On Maximal Regularity and Semivariation of α-Times Resolvent Families*," Advances in Pure Mathematics, Vol. 3 No. 8, 2013, pp. 680-684. doi: 10.4236/apm.2013.38091.

Cited by

[1] Strong solutions of abstract fractional differential equations
[2] Novel interpolation spaces and maximal‐weighted Hölder regularity results for the fractional abstract Cauchy problem
Mathematische Nachrichten, 2024
[3] Discrete almost maximal regularity and stability for fractional differential equations in Lp ([0, 1], Ω)
2021
[4] Existence of solutions of the abstract Cauchy problem of fractional order
2021
[5] New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem
Boundary …, 2021
[6] Existence of solutions for the semilinear abstract Cauchy problem of fractional order
Fractional Calculus and Applied …, 2021
[7] Hölder Regularity for Abstract Fractional Cauchy Problems with Order in (0, 1)
2018
[8] A novel algebraic characteristic of fractional resolvent families
Semigroup Forum, 2018
[9] HOLDER REGULARITY FOR ABSTRACT FRACTIONAL CAUCHY PROBLEMS WITH ORDER IN (0, 1)
2017

Copyright © 2025 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.