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:
Online Access:https://www.mdpi.com/2227-7390/8/8/1283