Coupled fractional differential systems with random effects in Banach spaces
type: Item
instance of: scholarly article
title: Coupled fractional differential systems with random effects in Banach spaces
zbMATH Open document ID: 1491.34022
author: Yanyan Li
published in: Random Operators and Stochastic Equations
publication date: 2022-01-17T00:00:00Z
review text: In this work, authors consider a system of random differential equations involving the Riemann-Liouville fractional derivative. Initial condition are takend which is compactable with Riemann-Liouville fractional differential equation. Coupled systems appears in several mathematical models and are very important to study. The technique used to establish existence and uniquness is Sadovskii's fixed point theorem along with other concepts of analysis. For illustration, an example is provided by the authors.
reviewed by: Syed Abbas
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7457743
zbMATH Keywords: fractional differential system
zbMATH Keywords: random variable
zbMATH Keywords: vector-valued norm
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: condensing map
MaRDI profile type: Publication
full work available at URL: rose-2021-2064
OpenAlex ID: W3209560857
Wikidata QID: Q115235763
cites work: Q3466999
cites work: Topics in fractional differential equations
cites work: Q5258489
cites work: Coupled Hilfer fractional differential systems with random effects
cites work: Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
cites work: Random semilinear system of differential equations with impulses
cites work: Random integral equations
cites work: Multivalued perturbations of \(m\)-accretive differential inclusions
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Q4582008
cites work: Q5341274
cites work: Condensing multivalued maps and semilinear differential inclusions in Banach spaces
cites work: Q5699297
cites work: Fractals and fractional calculus in continuum mechanics
cites work: Q3141902
cites work: Q4233638
cites work: Q3601256
cites work: Q3141895
cites work: Random fixed point theorem in generalized Banach space and applications
cites work: Random integral equations with applications to life sciences and engineering
cites work: On the solution set for weighted fractional differential equations in Banach spaces
DOI: 10.1515/ROSE-2021-2064
description: scientific article; zbMATH DE number 7457743