Document Type : Research Paper

Authors

• Ä°smail Yaslan
• Mustafa Gunendi

Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey

Abstract

In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed point index, Avery-Henderson fixed point theorem and the Legget-Williams fixed point theorem, respectively.

Keywords

• Boundary value problems
• cone
• fixed point theorems
• positive solutions
• Riemann-Liouville fractional derivative
• integral boundary conditions