Uniqueness of iterative positive solutions for the singular infinite-point p-Laplacian fractional differential system via sequential technique

• Main Authors: Limin Guo, Lishan Liu, Yanqing Feng
• Format: Article
• Language: English
• Published: Vilnius University Press 2020-09-01
• Series: Nonlinear Analysis
• Subjects: fractional differential system; iterative positive solution; sequential techniques; mixed monotone operator; singular problem
• Online Access: https://www.journals.vu.lt/nonlinear-analysis/article/view/19277

By sequential techniques and mixed monotone operator, the uniqueness of positive solution for singular p-Laplacian fractional differential system with infinite-point boundary conditions is obtained. Green's function is derived, and some useful properties of Green' function are obtained. Based on these new properties, the existence of unique positive solutions is established, moreover, an iterative sequence and a convergence rate are given, which are important for practical application, and an example is given to demonstrate the validity of our main results.