Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 62-71 |
| Number of pages | 10 |
| Journal | Mathematical Modelling and Analysis |
| Volume | 24 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Nov 21 2019 |
| Externally published | Yes |
Keywords
- Caputo-fabrizio fractional derivative
- Fractional differential equations
- Maximum principle
ASJC Scopus subject areas
- Analysis
- Modelling and Simulation
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