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Iterative scheme for a coupled system of fractional‐order differential equations with three‐point boundary conditions
Author(s) -
Shah Kamal,
Khan Rahmat Ali
Publication year - 2018
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.4122
Subject(s) - mathematics , monotone polygon , boundary value problem , iterative method , differential equation , order (exchange) , mathematical analysis , coupling (piping) , boundary (topology) , point (geometry) , mathematical optimization , geometry , finance , economics , mechanical engineering , engineering
We investigate sufficient conditions for existence of multiple solutions to a coupled system of fractional‐order differential equations with three‐point boundary conditions. By coupling the method of upper and lower solutions together with the method of monotone iterative technique, we develop conditions for iterative solutions. Based on these conditions, we study maximal and minimal solutions to the problem under consideration. We also study error estimates and provide an example. Copyright © 2016 John Wiley & Sons, Ltd.