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

K.R. PRASAD, B.M.B. KRUSHNA

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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.