Existence, regularity and representation of solutions of time fractional diffusion equations

zbMath1375.47034MaRDI QIDQ1683485

Carlos Lizama, Valentin Keyantuo, Mahamadi Warma

Publication date: 1 December 2017

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1465912585

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Abstract integral equations, integral equations in abstract spaces (45N05) Integrated semigroups (47D62) Fractional partial differential equations (35R11)

Related Items (15)

On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative ⋮ Fractional equations via convergence of forms ⋮ On the blow-up of solutions for a fractional diffusion equation with nonlinear memory and reaction terms in a bounded domain ⋮ Well-posedness for fractional Cauchy problems involving discrete convolution operators ⋮ On the fundamental solutions of a discontinuous fractional boundary value problem ⋮ Lattice Dynamical Systems Associated with a Fractional Laplacian ⋮ Time fractional linear problems on \(L^2(\mathbb{R}^d)\) ⋮ Subordination approach to multi-term time-fractional diffusion-wave equations ⋮ On close to scalar families for fractional evolution equations: zero-one law ⋮ Regularity theory for time-fractional advection-diffusion-reaction equations ⋮ Global existence and blow-up for a space and time nonlocal reaction-diffusion equation ⋮ Fractional Cauchy problem on random snowflakes ⋮ Direct and inverse Cauchy problems for generalized space-time fractional differential equations ⋮ Approximate Controllability from the Exterior of Space-Time Fractional Diffusive Equations ⋮ Inverses of generators of integrated fractional resolvent operator functions

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