The purpose of this paper is the study of the local existence of solutions to an abstract quasi-linear Kirchhoff equation with a nonlinear in-homogeneous term submitted to an internal viscous… Click to show full abstract
The purpose of this paper is the study of the local existence of solutions to an abstract quasi-linear Kirchhoff equation with a nonlinear in-homogeneous term submitted to an internal viscous damping of fractional type. We establish the local existence using a method introduced by Kato[26] combined with the multiplier method and some fixed point argument.
Keywords:
solutions abstract;
existence;
existence solutions;
local existence;
kirchhoff equation;
equation nonlinear
Journal Title: Filomat
Year Published: 2025
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Journal Title: Filomat
Year Published: 2025
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!