Journal
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Volume 21, Issue 2, Pages 276-311Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/fca-2018-0018
Keywords
fractional diffusion equation; initial-boundary value problem; regularity; weak solution
Funding
- People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme FP7 under REA [319012]
- Funds for International Co-operation under Polish Ministry of Science and Higher Education [2853/7.PR/2013/2]
- Japan Society for the Promotion of Science [15H05740, 26220702]
- National Science Centre, Poland [2017/26/M/ST1/00700]
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We discuss an initial-boundary value problem for a fractional diffusion equation with Caputo time-fractional derivative where the coefficients are dependent on spatial and time variables and the zero Dirichlet boundary condition is attached. We prove the unique existence of weak and regular solutions.
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