Eigenvalues for iterative systems of Riemann–Liouville type p-Laplacian fractional-order boundary-value problems in Banach spaces

Abstract

The aim of this paper is to determine the eigenvalue intervals of μ 1 , μ 2 ,. .. , μ n for which the iterative system of Riemann-Liouville type p-Laplacian fractional-order differential equations subject to fractional-order boundary conditions possess positive solutions by utilizing Guo-Krasnosel'skii fixed point theorem on cone in a Banach space.

Multiple Positive Solutions for a System of Caputo Fractionalp-Laplacian Boundary Value Problems

“…Recently, coupled systems of fractional differential equations have also been investigated by many authors. Some results on the direction can be found in a series of papers [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] and the references cited therein.…”