Fractional order partial hyperbolic functional differential equations with state-dependent delay
type: Item
instance of: scholarly article
title: Fractional order partial hyperbolic functional differential equations with state-dependent delay
zbMATH Open document ID: 1234.35294
DOI: 10.1504/IJDSDE.2011.042941
author: Said Abbas
author: Mouffak Benchohra
author: Yong Zhou
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2012-04-04T00:00:00Z
review text: Summary: This paper deals with the existence and uniqueness of solutions of some classes of partial functional and neutral functional hyperbolic differential equations with state-dependent delay involving the Caputo fractional derivative. Our results are obtained by using suitable fixed point theorems.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 6021910
zbMATH Keywords: partial differential equations
zbMATH Keywords: solution
zbMATH Keywords: left-sided mixed Riemann-Liouville integral
zbMATH Keywords: Caputo fractional order derivative
zbMATH Keywords: state dependent delay
zbMATH Keywords: fixed point
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6021910