EXISTENCE OF POSITIVE SOLUTIONS FOR A COUPLED SYSTEM OF HIGHER ORDER FRACTIONAL BOUNDARY VALUE PROBLEMS

Year 2016, Volume: 6 Issue: 2, 278 - 288, 01.12.2016

K. R. Prasad B. M. B. Krushna

Abstract

The aim of this paper is to establish the existence of at least one positive solution for a coupled system of higher order two-point fractional order boundary value problems under suitable conditions. The approach is based on the Guo-Krasnosel'skii fixed point theorem.

Keywords

fractional derivative, coupled system, Green's function, boundary value problem, positive solution.

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