Title of article :
Higher order multi-point fractional boundary value problems with integral boundary conditions
Author/Authors :
Yaslan, Ismail Department of Mathematics - Pamukkale University Denizli, Turkey , Gunendi, Mustafa Department of Mathematics - Pamukkale University Denizli, Turkey
Abstract :
In this paper, we are 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 some results 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
Journal title :
Astroparticle Physics
