Weak solutions for time-fractional evolution equations in Hilbert spaces

Autor:	Loreti, Paola, Sforza, Daniela
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.07416 Zobrazit plný text záznamu View this record from Arxiv