@misc{10498/32098,
year = {2023},
url = {http://hdl.handle.net/10498/32098},
abstract = {We obtain necessary and sufficient conditions for the strongly Lp well-posedness of three abstract evolution equations, arising from fractional Moore-Gibson-Thompson type equations which have recently appeared in the literature. We use Fourier multiplier techniques to derive new characterizations in terms of the R-boundedness of the operator-valued symbol associated to each abstract model, when endowed with the time-fractional Liouville-Grünwald derivative. As a consequence of our characterization, we give new insights into the differences between the models based on the structure of the respective operator-valued symbols and show novel applications by including several classes of operators other than the Laplacian.},
publisher = {Academic Press Inc.},
keywords = {Fractional order derivatives},
keywords = {Operator-valued Fourier multipliers},
keywords = {R-boundedness},
keywords = {Sectorial operators},
keywords = {Strongly Lp well-posedness},
title = {Strongly Lp well-posedness for abstract time-fractional Moore-Gibson-Thompson type equations},
doi = {10.1016/J.JDE.2023.08.023},
author = {Alvarez, E. and Lizama, C. and Murillo Arcila, Marina},
}