Weak solutions for time-fractional evolution equations in Hilbert spaces
Analysis of PDEs
2021-06-15 v1
Abstract
We introduce a notion of weak solution for abstract fractional differential equations, motivated by the definition of Caputo derivative. We prove existence results for weak and strong solutions. We also give two examples as application of our results: time-fractional wave equations and time-fractional Petrovsky systems.
Cite
@article{arxiv.2106.07416,
title = {Weak solutions for time-fractional evolution equations in Hilbert spaces},
author = {Paola Loreti and Daniela Sforza},
journal= {arXiv preprint arXiv:2106.07416},
year = {2021}
}