We onsider a frational boundary value problem with Caputo-Fabrizio frational derivative of order 1 < α < 2. We prove a maximum priniple for a general linear frational boundary value problem. The proof is based on an estimate of the frational derivative at extreme points and under ertain assumption on the boundary onditions. A prior norm estimate of solutions of the linear frational boundary value problem and a uniqueness result of the nonlinear problem have been established. Several omparison priniples are derived for the linear and nonlinear frational problems.
- Caputo-fabrizio fractional derivative
- Fractional differential equations
- Maximum principle
ASJC Scopus subject areas
- Modelling and Simulation