Impulsive discontinuous hyperbolic partial differential equationsof fractional order on Banach algebras

Impulsive discontinuous hyperbolic partial differential equationsof fractional order on Banach algebras

This article studies the existence of solutions and extremal solutions to partial hyperbolic differential equations of fractional order with impulses in Banach algebras under Lipschitz and Caratheodory conditions and certain monotonicity conditions.

Bibliographic Details
Main Authors: Said Abbas, Ravi P. Agarwal, Mouffak Benchohra
Format: Article
Language:English
Published: Texas State University 2010-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Impulsive differential equations
fractional order
upper solution
lower solution
extremal solutions
left-sided mixed Riemann-Liouville integral
Caputo fractional-order derivative
fixed point
Banach algebra
Online Access:http://ejde.math.txstate.edu/Volumes/2010/91/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2010/91/abstr.html

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