Existence of a Unique Weak Solution to a Nonlinear Non-Autonomous Time-Fractional Wave Equation (of Distributed-Order)

Existence of a Unique Weak Solution to a Nonlinear Non-Autonomous Time-Fractional Wave Equation (of Distributed-Order)

We study an initial-boundary value problem for a fractional wave equation of time distributed-order with a nonlinear source term. The coefficients of the second order differential operator are dependent on the spatial and time variables. We show the existence of a unique weak solution to the problem...

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Bibliographic Details
Main Author:	Karel Van Bockstal
Format:	Article
Language:	English
Published:	MDPI AG 2020-08-01
Series:	Mathematics
Subjects:	time-fractional wave equation distributed-order non-autonomous time discretization existence uniqueness
Online Access:	https://www.mdpi.com/2227-7390/8/8/1283

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