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Positive solutions for multi‐point boundary value problems of fractional differential equations with p‐Laplacian
Author(s) -
Li Yunhong,
Qi Anbin
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3579
Subject(s) - mathematics , fixed point theorem , boundary value problem , nonlinear system , order (exchange) , mathematical analysis , p laplacian , point (geometry) , geometry , physics , finance , quantum mechanics , economics
This paper investigates the existence of solutions for multi‐point boundary value problems of higher‐order nonlinear Caputo fractional differential equations with p‐Laplacian. Using the five functionals fixed‐point theorem, the existence of multiple positive solutions is proved. An example is also given to illustrate the effectiveness of ourmain result. Copyright © 2015 John Wiley & Sons, Ltd.