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Rothe Method and Numerical Analysis for a Sub-Diffusion Equation with Clarke Subdifferential

Journal of Computational Mathematics
This paper is devoted to the study of a sub-diffusion equation involving a Clarke subdifferential boundary condition. It describes transport of particles governed by the anomalous diffusion in media with boundary semipermeability. The weak formulation of the model problem results in a time fractional parabolic hemivariational inequality.
Yujie Li, Chuanju Xu
openaire   +1 more source

A Survey of Clarke’s Subdifferential and the Differentiability of Locally Lipschitz Functions

1999
We survey the theory developed around the Clarke subdifferential to study the variety of differentiability properties of real-valued locally Lipschitz functions on Banach spaces.
openaire   +1 more source

Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type

Chaos, Solitons and Fractals, 2021
Velusamy Vijayakumar   +2 more
exaly  

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