Published March 19, 2020
| Version v1
Journal article
Attractivity for Hilfer fractional stochastic evolution equations
- 1. Taiyuan University of Technology. School of Mathematics (China)
- 2. King Abdulaziz University. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science (Saudi Arabia)
- 3. Xiangtan University. Faculty of Mathematics and Computational Science (China)
Description
This article is devoted to the study of the attractivity of solutions to a class of stochastic evolution equations involving Hilfer fractional derivative. By employing the semigroup theory, fractional calculus and the fixed point technique, we establish new alternative criteria to ensure the existence of globally attractive solutions for the Cauchy problem when the associated semigroup is compact.
Additional details
Identifiers
Publishing Information
- Journal Title
- Advances in Difference Equations (Online)
- Journal Volume
- 2020
- Journal Issue
- 1
- Journal Page Range
- vp.
- ISSN
- 1687-1847
INIS
- Country of Publication
- Egypt
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 55056824
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BANACH SPACE; CAUCHY PROBLEM; DIFFERENTIAL CALCULUS; DIFFERENTIAL OPERATORS; DYNAMICAL SYSTEMS; EVOLUTION; EVOLUTION EQUATIONS; FREDHOLM EQUATION; JACOBIAN FUNCTION; LAPLACE EQUATION; MATHEMATICAL EVOLUTION; MATHEMATICAL SOLUTIONS; RICCATI EQUATION; RIEMANN FUNCTION; STATISTICAL MECHANICS; STOCHASTIC PROCESSES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; EVOLUTION; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; SPACE
Optional Information
- Copyright
- Copyright (c) 2020 © The Author(s) 2020