Long time behavior for a fractional Picard problem in a Hilbert space
From MaRDI portal
Publication:2009804
DOI10.1007/s12215-018-0380-8zbMath1428.34018OpenAlexW2902161654MaRDI QIDQ2009804
Saïd Mazouzi, Nasser-eddine Tatar
Publication date: 29 November 2019
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-018-0380-8
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A detailed analysis for the fundamental solution of fractional vibration equation
- Numerical solution for multi-term fractional (arbitrary) orders differential equations
- The decay rate for a fractional differential equation
- Linear fractionally damped oscillator
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Frequency domain methods for Volterra equations
- Existence and uniqueness of the solution of fractional damped dynamical systems
- Global existence of smooth shearing motions of a nonlinear viscoelastic fluid
- Nonlinear differential equations with fractional damping with applications to the 1dof and 2dof pendulum
- Role of prehistories in the initial value problems of fractional viscoelastic equations
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Global Existence and Asymptotic Stability for a Nonlinear Integrodifferential Equation Modeling Heat Flow
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- Asymptotic stability of linear conservative systems when coupled with diffusive systems
- Existence and uniqueness of solutions for a nonlinear second order differential equation in Hilbert space
- A Model Equation for Viscoelasticity with a Strongly Singular Kernel
- On a Nonlinear Hyperbolic Volterra Equation
- Stability properties for generalized fractional differential systems
- An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives
- Variational Principles in Irreversible Thermodynamics with Application to Viscoelasticity