Higher order multi-point fractional boundary value problems with integral boundary conditions

Author(s):

İsmail Yaslan* , Mustafa Gunendi

Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:9 Issue: 1, Summer - Autumn 2018
Pages:
247 to 260
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