Published July 8, 2020
| Version v1
Journal article
Ulam–Hyers–Rassias stability for nonlinear Ψ-Hilfer stochastic fractional differential equation with uncertainty
- 1. Iran University of Science and Technology. School of Mathematics (Iran, Islamic Republic of)
- 2. University of the Free State. Institute for Groundwater Studies (IGS) Faculty: Natural and Agricultural Sciences (South Africa)
Description
We consider a nonlinear Cauchy problem involving the Ψ-Hilfer stochastic fractional derivative with uncertainty, and we give a stability result. Using fixed point theory, we are able to provide a fuzzy Ulam–Hyers–Rassias stability for the considered nonlinear stochastic fractional differential equations.
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
- 55056798
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CAUCHY PROBLEM; CONTROL THEORY; DATA COVARIANCES; DIFFERENTIAL EQUATIONS; DIFFERENTIAL OPERATORS; EVOLUTION EQUATIONS; FUZZY LOGIC; INTEGRAL EQUATIONS; LAPLACE EQUATION; MATHEMATICAL EVOLUTION; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; RICCATI EQUATION; STOCHASTIC PROCESSES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; EVOLUTION; MATHEMATICAL LOGIC; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2020 © The Author(s) 2020