Monotonicity of Positive Solutions for Dual Fractional Parabolic Equation Involving Fully Nonlinear Nonlocal Operator
Abstract
ABSTRACT In this article, we investigate the monotonicity of positive solutions for fully nonlinear fractional order parabolic equations involving the fractional time derivative by applying the moving planes method. We first establish a series of key theorems in the proofs, such as narrow region principles and averaging effects. Then, we use these tools to demonstrate the monotonicity of positive solutions in a half‐space.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Volume
- 49
- Issue
- 9
- Pages
- 9852–9867
- Publication date
- 8 February 2026
- Language
- EN