On the initial value problem of fractional evolution equations with noncompact semigroup
From MaRDI portal
Publication:316605
DOI10.1016/j.camwa.2014.01.002zbMath1381.34011OpenAlexW2036779513WikidataQ59893845 ScholiaQ59893845MaRDI QIDQ316605
Binhua Feng, Yongxiang Li, Pengyu Chen, Qiyu Chen
Publication date: 27 September 2016
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2014.01.002
initial value problemfractional evolution equationequicontinuous semigroupglobal mild solutionsaturated mild solution
Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions
- Abstract Cauchy problem for fractional differential equations
- Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
- Optimal feedback control for semilinear fractional evolution equations in Banach spaces
- A note on the fractional Cauchy problems with nonlocal initial conditions
- A class of fractional evolution equations and optimal controls
- Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order
- Existence of mild solutions for fractional delay evolution systems
- On the concept of solution for fractional differential equations with uncertainty
- A Krasnoselskii-Krein-type uniqueness result for fractional differential equations
- Basic theory of fractional differential equations
- Existence of the mild solution for fractional semilinear initial value problems
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- On some fractional evolution equations
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- Semigroups and some nonlinear fractional differential equations.
- Some probability densities and fundamental solutions of fractional evolution equations
- The fundamental solutions for fractional evolution equations of parabolic type
- Cauchy problem for fractional diffusion equations
- Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces
- On the solvability and optimal controls of fractional integrodifferential evolution systems with infinite delay
- On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions