Fractional resolvent operator with α ∈ (0,1) and applications
From MaRDI portal
Publication:5211944
DOI10.7153/FDC-2019-09-13zbMath1463.34290OpenAlexW3002542651MaRDI QIDQ5211944
José Paulo Carvalho dos Santos
Publication date: 28 January 2020
Published in: Fractional Differential Calculus (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/fdc-2019-09-13
Integro-partial differential equations (45K05) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)
Related Items (3)
Mittag-Leffler stability for a fractional Euler-Bernoulli problem ⋮ Approximation of solutions to integro-differential time fractional wave equations in \(L^p\)-space ⋮ Well-posedness and stability for a fractional thermo-viscoelastic Timoshenko problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of \( S\)-asymptotically \(\omega\)-periodic solutions to abstract integro-differential equations
- Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\)
- Bounded mild solutions to fractional integro-differential equations in Banach spaces
- Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results
- Existence results for neutral integro-differential equations with unbounded delay
- Abstract fractional Cauchy problems with almost sectorial operators
- Asymptotically almost periodic solutions for abstract partial neutral integro-differential equation
- Semigroups of linear operators and applications to partial differential equations
- Analytic resolvent operators for integral equations in Banach space
- On linear Volterra equations in Banach spaces
- Existence and regularity for a class of integrodifferential equations of parabolic type
- Solvability on the real line of a class of linear Volterra integrodifferential equations of parabolic type
- Parabolic integrodifferential equations with singular kernels
- Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators
- Asymptotic behavior of fractional order semilinear evolution equations.
- Vector-valued Laplace Transforms and Cauchy Problems
- On the Linear Heat Equation with Fading Memory
- Series Expansions for Resolvents of Volterra Integrodifferential Equations in Banach Space
- Evolutionary Integral Equations and Applications
- Abstract Volterra Integro-Differential Equations
This page was built for publication: Fractional resolvent operator with α ∈ (0,1) and applications
