A MAXIMUM PRINCIPLE FOR A FRACTIONAL BOUNDARY VALUE PROBLEM WITH CONVECTION TERM AND APPLICATIONS-Reference-Cited by-同舟云学术

A MAXIMUM PRINCIPLE FOR A FRACTIONAL BOUNDARY VALUE PROBLEM WITH CONVECTION TERM AND APPLICATIONS

Published:2018-11-12 Issue:1 Volume:24 Page:62-71
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Al-Refai Mohammed¹,Pal Kamal¹

Affiliation:

1. Department of Mathematical Sciences, UAE University Al Ain Abu Dhabi, UAE, P.O.Box 15551

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

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