Existence of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations
DAI Zhenxiang
XUE Yimin
PENG Zhongqi
Abstract：This study employs the properties of Green's function and the fixed point theorem of Guo-Krasnosel'skii's to investigate the existence of positive solutions for a coupled system of nonlinear Riemann-Liouville type fractional differential equations.Two sufficient conditions for positive solutions of the coupled system were obtained,and the applicability of the results was demonstrated through two illustrative examples.
Keywords：coupled system of fractional differential equationsboundary value problempositive solutionfixed point theorem
Publication Date：2024-09-30
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：10( 72-81 )