Weak solutions for time-fractional evolution equations in Hilbert spaces
arXiv (Cornell University)(2021)
摘要
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.
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关键词
weak solutions,time-fractional
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