Existence results for a coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions
type: Item
instance of: scholarly article
title: Existence results for a coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions
zbMATH Open document ID: 1474.34018
DOI: 10.1155/2014/672167
author: J. Caballero
author: Mohamed Abdalla Darwish
author: K. Sadarangani
author: W. Shammakh
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study an existence result for the following coupled system of nonlinear fractional hybrid differential equations with homogeneous boundary conditions \(D_{0^+}^\alpha [x(t) / f(t, x(t), y(t))] = g(t, x(t), y(t))\), \(D_{0^+}^\alpha \left[y(t) / f(t, y(t), x(t))\right] = g(t, y(t), x(t))\), \(0 < t < 1\), and \(x(0) = y(0) = 0\), where \(\alpha \in(0,1)\) and \(D_{0^+}^\alpha\) denotes the Riemann-Liouville fractional derivative. The main tools in our study are the techniques associated to measures of noncompactness in the Banach algebras and a fixed point theorem of Darbo type.
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7022848
describes a project that uses: FODE
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/672167
OpenAlex ID: W2134124887
Wikidata QID: Q59040458
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description: scientific article; zbMATH DE number 7022848