The Cauchy problem for discrete time fractional evolution equations
From MaRDI portal
Publication:2297110
DOI10.1016/j.cam.2019.112683zbMath1444.35148OpenAlexW2998291413MaRDI QIDQ2297110
Jia Wei He, Carlos Lizama, Yong Zhou
Publication date: 18 February 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.112683
Cauchy problem\(C_0\)-semigroupsfractional difference equations\( \alpha \)-resolvent sequencesinhomogeneous discrete-time fractionalRiemann-Liouville fractional difference
One-parameter semigroups and linear evolution equations (47D06) Discrete version of topics in analysis (39A12) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
Related Items (11)
C-Semigroups, subordination principle and the Lévy α-stable distribution on discrete time ⋮ Approximate controllability for mixed type non-autonomous fractional differential equations ⋮ A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity ⋮ Time discrete abstract fractional Volterra equations via resolvent sequences ⋮ Qualitative properties of nonlocal discrete operators ⋮ Properties of vector-valued \(\tau \)-discrete fractional calculus and its connection with Caputo fractional derivatives ⋮ Discretization of C0$$ {C}_0 $$‐semigroups and discrete semigroups of operators in Banach spaces ⋮ Discrete subdiffusion equations with memory ⋮ Stability analysis for discrete time abstract fractional differential equations ⋮ Explicit representation of discrete fractional resolvent families in Banach spaces ⋮ Existence of \((N, \lambda)\)-periodic solutions for abstract fractional difference equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A survey on impulsive fractional differential equations
- Weighted bounded solutions for a class of nonlinear fractional equations
- Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\)
- Cesàro sums and algebra homomorphisms of bounded operators
- Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions
- Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
- Existence of a positive solution to a system of discrete fractional boundary value problems
- \(\ell_p\)-maximal regularity for a class of fractional difference equations on UMD spaces: the case \(1<\alpha\leq2\)
- Existence and uniqueness of mild solutions to a semilinear integrodifferential equation of fractional order
- Modeling with fractional difference equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Semigroups of linear operators and applications to partial differential equations
- Fractional-order differential equations with anti-periodic boundary conditions: a survey
- Discrete maximal regularity of time-stepping schemes for fractional evolution equations
- Generalized Cesàro operators, fractional finite differences and gamma functions
- Lebesgue regularity for nonlocal time-discrete equations with delays
- On well-posedness of vector-valued fractional differential-difference equations
- Well posedness for semidiscrete fractional Cauchy problems with finite delay
- A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity
- Maximal regularity in \(l_{p}\) spaces for discrete time fractional shifted equations
- Discrete fractional logistic map and its chaos
- A monotonicity result for discrete fractional difference operators
- Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients
- Almost automorphic mild solutions to fractional partial difference-differential equations
- Convolution quadrature time discretization of fractional diffusion-wave equations
- Fractional-order difference equations for physical lattices and some applications
- Discrete Fractional Calculus
- lp-maximal regularity for fractional difference equations on UMD spaces
- Initial value problems in discrete fractional calculus
- On a New Definition of the Fractional Difference
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- The Poisson distribution, abstract fractional difference equations, and stability
- A discrete fractional Gronwall inequality
- Basic Theory of Fractional Differential Equations
- Some simple differential difference equations and the related functions
This page was built for publication: The Cauchy problem for discrete time fractional evolution equations
