Existence of local and global solutions to some impulsive fractional differential equation

Existence of local and global solutions to some impulsive fractional differential equation

First, by using Schauder's fixed-point theorem we establish the existence uniqueness of locals for some fractional differential equation with a finite number of impulses. On the other hand, by using Brouwer's fixed-point theorem, we establish existence of the global solutions under sui...

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Bibliographic Details
Main Authors: Said Mazouzi, Rahima Atmania
Format: Article
Language:English
Published: Texas State University 2009-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Fractional derivative
impulsive conditions
fixed point
local solution
global solution
Online Access:http://ejde.math.txstate.edu/Volumes/2009/136/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2009/136/abstr.html

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