A study of an impulsive four-point nonlocal boundary value problem of nonlinear fractional differential equations

Authors:
Bashir Ahmad;Guotao Wang
Affiliations:
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 5
Cited 0

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

Computers & Mathematics with Applications
Existence results for the three-point impulsive boundary value problem involving fractional differential equations

Computers & Mathematics with Applications
Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order

Journal of Computational and Applied Mathematics
Some new existence results for fractional differential inclusions with boundary conditions

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.09

Visualization

Abstract

This paper studies the existence and uniqueness of solutions for a four-point nonlocal boundary value problem of nonlinear impulsive differential equations of fractional order q@?(1,2]. Our results are based on some standard fixed point theorems. Some illustrative examples are also discussed.