Affiliation:
1. Department of Mathematics University of Atacama Copayapu 985 Copiapó Chile
Abstract
Abstract
This paper is concerned with the existence of positive solutions for three point boundary value problems of Riemann-Liouville fractional differential equations with p-Laplacian operator. By means of the properties of the Green’s function and Avery-Peterson fixed point theorem, we establish a condition ensuring the existence of at least three positive solutions for the problem.
Reference21 articles.
1. AVERY, R. I. — PETERSON, A. C.: Three positive fixed points of nonlinear operators on ordered Banach Spaces, Comput. Math. Appl. 42 (2001), 313–322.
2. AGARWAL, R. P. — FILIPPAKIS, M. — O’REGAN, D. — PAPAGEORGIOU, N. S.: Twin positive solutions for p-Laplacian nonlinear Neumann problems via variational and degree theoretic methods, J. Nonlinear Convex Anal. 9 (2008), 1–23.
3. BAI, Z. — LÜ, H.: Positive solutions for boundary value problems of nonlinear fractional differential equation, J. Math. Anal. Appl. 311 (2005), 495–505.
4. DAVIES, A. R. — KARAGEOGHIS, A. — PHILIPS, T. N.: Spectral Galerkin methods for the priary two-point boundary-value problems in modeling viscoelastic flows, Internat. J. Numer. Methods Engrg. 26 (1988), 647–662.
5. DONG, X. — BAI, Z. — ZHANG, S.: Positive solutions to boundary value problems of p-Laplacian with fractional derivative, Bound. Value Probl. 2017 (2017), Art. No. 5.
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