Continuous dependence of the solution of random fractional-order differential equation with nonlocal conditions

DOI10.7153/FDC-07-03zbMath1438.34028OpenAlexW4235235147MaRDI QIDQ4626388

M. E. I. El-Gendy, Fatma M. Gaafar, Ahmed M. A. El-Sayed

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-07-03

zbMATH Keywords

nonlocal conditioncontinuous dependencemean square solutionBanach contraction fixed point theoremstochastic fractional calculus

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential equations and systems with randomness (34F05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (6)

On a nonlocal implicit problem under Atangana-Baleanu-Caputo fractional derivative ⋮ Hyers-Ulam stability of random functional differential equation involving fractional-order derivative ⋮ A survey on random fractional differential equations involving the generalized Caputo fractional-order derivative ⋮ Existence and Ulam stability for random fractional integro-differential equation ⋮ Unnamed Item ⋮ Nonlinear random differential equations with \(n\) sequential fractional derivatives

Cites Work

• Random differential equations in science and engineering
• Random fixed point theorems with an application to random differential equations in Banach spaces
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Stochastic Integrals and Derivatives
• On stochastic differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Continuous dependence of the solution of random fractional-order differential equation with nonlocal conditions