Asymptotic behavior of mild solutions to fractional Cauchy problems in Banach spaces
From MaRDI portal
Publication:1985409
DOI10.1016/j.aml.2020.106322OpenAlexW3010941096MaRDI QIDQ1985409
Publication date: 7 April 2020
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2020.106322
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10) Asymptotic properties of solutions to ordinary differential equations (34D05) Fractional ordinary differential equations (34A08)
Related Items
Mild solutions for a multi-term fractional differential equation via resolvent operators ⋮ Some new asymptotic properties on solutions to fractional evolution equations in Banach spaces ⋮ Properties of vector-valued \(\tau \)-discrete fractional calculus and its connection with Caputo fractional derivatives ⋮ Weighted pseudo asymptotically Bloch periodic solutions to nonlocal Cauchy problems of integrodifferential equations in Banach spaces ⋮ Time discretization of fractional subdiffusion equations via fractional resolvent operators ⋮ Explicit representation of discrete fractional resolvent families in Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Bounded mild solutions to fractional integro-differential equations in Banach spaces
- Mittag-Leffler-Ulam stabilities of fractional evolution equations
- Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
- On a functional equation associated with \((a, k)\)-regularized resolvent families
- Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results
- Mittag-Leffler functions and their applications
- Abstract fractional Cauchy problems with almost sectorial operators
- On fractional powers of generators of fractional resolvent families
- Maximum principles for fractional differential equations derived from Mittag-Leffler functions
- Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
- Cauchy problem for fractional diffusion equations
- Asymptotic behavior of mild solutions to semilinear fractional differential equations
- Regularized solutions for abstract Volterra equations
- Hölder continuous solutions for fractional differential equations and maximal regularity
- Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
- Almost automorphic mild solutions to fractional differential equations
- The functional calculus for sectorial operators
- Vector-valued Laplace Transforms and Cauchy Problems
- Mild well-posedness of equations with fractional derivative
- Evolutionary Integral Equations and Applications
- A Numerical Method for an Integro-Differential Equation with Memory in Banach Spaces: Qualitative Properties
- An operator theoretical approach to Riemann-Liouville fractional Cauchy problem