Existence of mild solutions for impulsive fractional-order semilinear evolution equations with nonlocal conditions

Existence of mild solutions for impulsive fractional-order semilinear evolution equations with nonlocal conditions

In this work we consider a class of impulsive fractional-order semilinear evolution equations with a nonlocal initial condition. By means of solution operator and application of fixed point theorems we established the existence and uniqueness of a mild solution.

Bibliographic Details
Main Authors: Archana Chauhan, Jaydev Dabas
Format: Article
Language:English
Published: Texas State University 2011-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Fractional order differential equation
nonlocal conditions
contraction mapping
mild solution
impulsive conditions
Online Access:http://ejde.math.txstate.edu/Volumes/2011/107/abstr.html
Description
Summary:In this work we consider a class of impulsive fractional-order semilinear evolution equations with a nonlocal initial condition. By means of solution operator and application of fixed point theorems we established the existence and uniqueness of a mild solution.
ISSN:1072-6691

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