Open AccessExistence and uniqueness of solutions for nonlinear hyperbolic fractional differential equation with integral boundary conditions
Author(s) -
Brahim Tellab,
Kamel Haouam
Publication year - 2016
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v5i1.5239
Subject(s) - mathematics , uniqueness , fixed point theorem , contraction principle , mathematical analysis , contraction mapping , nonlinear system , picard–lindelöf theorem , boundary value problem , contraction (grammar) , banach space , fractional calculus , banach fixed point theorem , medicine , physics , quantum mechanics
In this paper, we investigate the existence and uniqueness of solutions for second order nonlinear fractional differential equation with integral boundary conditions. Our result is an application of the Banach contraction principle and the Krasnoselskii fixed point theorem.