A maximum principle for a fractional boundary value problem with convection term and applications
Abstract
We consider a fractional boundary value problem with Caputo-Fabrizio fractional derivative of order 1 < α < 2 We prove a maximum principle for a general linear fractional boundary value problem. The proof is based on an estimate of the fractional derivative at extreme points and under certain assumption on the boundary conditions. A prior norm estimate of solutions of the linear fractional boundary value problem and a uniqueness result of the nonlinear problem have been established. Several comparison principles are derived for the linear and nonlinear fractional problems.
First Published Online: 21 Nov 2018
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fractional differential equations, Caputo-Fabrizio fractional derivative, maximum principleHow to Cite
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Copyright (c) 2018 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2018 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.