Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order)

DOI10.1016/j.aml.2020.106540zbMath1450.35282OpenAlexW3033355499MaRDI QIDQ2005993

Karel Van Bockstal

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/8686342

zbMATH Keywords

existenceuniquenesshomogeneous Dirichlet boundary conditionCaputo derivative

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional partial differential equations (35R11)

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Cites Work

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• Fractional diffusion equation with distributed-order Caputo derivative
• Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
• Distributed-order fractional diffusions on bounded domains
• Distributed order calculus and equations of ultraslow diffusion
• Time-fractional Diffusion of Distributed Order
• Initial-boundary value problem for distributed order time-fractional diffusion equations

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