On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions

Babakhani, Azizollah; Al-Mdallal, Qasem

doi:10.22034/cmde.2020.29444.1420

On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions

Document Type : Research Paper

Authors

¹ Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave, Babol 47148-71167, Iran.

² Department of Mathematical Sciences , United Arab Emirates University Al-Ain, UAE.

10.22034/cmde.2020.29444.1420

Abstract

By using the Guo-Krasnoselskii’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