On analytic semigroup generators involving Caputo fractional derivative
From MaRDI portal
Publication:2085636
DOI10.3934/eect.2022014zbMath1500.35295OpenAlexW4225502779MaRDI QIDQ2085636
Publication date: 18 October 2022
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2022014
analytic semigroupsCaputo derivativeRiesz derivativespace-fractional diffusioncontrol of fractional systems
One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An inverse Sturm-Liouville problem with a fractional derivative
- On the sectorial property of the Caputo derivative operator
- Spectral analysis of biorthogonal expansions generated by Muckenhoupt weights
- Fractional partial differential equations with boundary conditions
- Some comments on using fractional derivative operators in modeling non-local diffusion processes
- An alpha-beta phase diagram representation of the zeros and properties of the Mittag-Leffler function
- An analytic semigroup generated by a fractional differential operator
- A memory-efficient noninteger-order discrete-time state-space model of a heat transfer process
- Time-fractional diffusion equation in the fractional Sobolev spaces
- A short course on operator semigroups
- Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation
- Inverses of Generators
- Vector-valued Laplace Transforms and Cauchy Problems
- Small-gain theorem for a class of abstract parabolic systems
- Finite-dimensional perturbations of Volterra operators
- Some modifications of the Weiss-Staffans perturbation theorem
- Mittag-Leffler Functions, Related Topics and Applications
- Variational formulation of problems involving fractional order differential operators
- On the Spectral-Lyapunov Approach to Parametric Optimization of Distributed-Parameter Systems
