Impulsive boundary value problem for nonlinear differential equations of fractional order

Authors:
Xuhuan Wang
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 3
Cited 1

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

Computers & Mathematics with Applications
Some new existence results for fractional differential inclusions with boundary conditions

Mathematical and Computer Modelling: An International Journal

On recent developments in the theory of boundary value problems for impulsive fractional differential equations

Computers & Mathematics with Applications

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Abstract

In this paper, we prove the existence and uniqueness of solutions for the boundary value problem of nonlinear impulsive differential equations of fractional order q@?(1,2]. Our results are based on Altman's fixed point theorem and Leray-Schauder's fixed point theorem.