Title of article :
On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions
Author/Authors :
Babakhani ، Azizollah Department of Mathematics - Babol Noshirvani University of Technology , Al-Mdallal ، Qasem Department of Mathematical Sciences - United Arab Emirates University Al-Ain
Abstract :
By using the GuoKrasnoselskii’s fixed point theorem, we investigate the existence of positive solutions for a non-autonomous fractional differential equations with integral boundary conditions of fractional order α ∈ (2, 3] in an ordered Banach space. The Fredholm integral equation has an important role in this article. Some examples are presented to illustrate the efficiency of the obtained results.
Keywords :
Caputo fractional derivative , Integral boundary conditions , Fredholm integral equation
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations