Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order
type: Item
instance of: scholarly article
title: Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order
zbMATH Open document ID: 1202.35340
author: Said Abbas
author: Mouffak Benchohra
published in: Nonlinear Analysis. Hybrid Systems
publication date: 2010-10-11T00:00:00Z
Mathematics Subject Classification ID: 35R12
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 5798057
zbMATH Keywords: impulsive hyperbolic differential equation
zbMATH Keywords: fractional order
zbMATH Keywords: upper solution
zbMATH Keywords: lower solution
zbMATH Keywords: left-sided mixed Riemann-Liouville integral
zbMATH Keywords: Caputo fractional order derivative
zbMATH Keywords: fixed point
MaRDI profile type: Publication
full work available at URL: j.nahs.2009.10.004
OpenAlex ID: W1969852694
cites work: Nonlinear differential equations of fractional order in the space of integrable functions.
cites work: Q3672290
cites work: Existence of solutions for differential inclusions with partial derivatives of fractional order
cites work: Applications of fractional calculus in physics
cites work: Fractals and fractional calculus in continuum mechanics
cites work: Q4381477
cites work: Q5699297
cites work: Q3408155
cites work: Q3141902
cites work: Q3141895
cites work: Partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative
cites work: Darboux problem for perturbed partial differential equations of fractional order with finite delay
cites work: A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
cites work: Uniqueness results for fractional functional differential equations with infinite delay in Fréchet spaces
cites work: Existence results for boundary value problems with non-linear fractional differential equations
cites work: Q3525119
cites work: Existence results for fractional order functional differential equations with infinite delay
cites work: Analysis of fractional differential equations
cites work: Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
cites work: Basic theory of fractional differential equations
cites work: General uniqueness and monotone iterative technique for fractional differential equations
cites work: Q5446046
cites work: Anlogue realizations of fractional-order controllers.
cites work: Existence of solutions of systems of partial differential equations of fractional order
cites work: Q3378412
cites work: Q4421936
cites work: Q3445966
cites work: Q3983149
cites work: Hyperbolic functional-differential equations with unbounded delay
cites work: Differential difference inequalities related to hyperbolic functional differential systems and applications
cites work: The method of upper, lower solutions and hyperbolic partial differential equations
DOI: 10.1016/J.NAHS.2009.10.004
description: scientific article; zbMATH DE number 5798057