TY - JOUR
T1 - Iterative Positive Solutions to Nonlinear $q$-Fractional Differential Equations with Integral Boundary Value Conditions
AU - Cui , Yaqiong
AU - Kang , Shugui
AU - Chen , Huiqin
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 446
EP - 455
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.446
UR - https://global-sci.org/intro/article_detail/jnma/21945.html
KW - Integral boundary value condition, $q$-fractional differential equation, iterative technique, positive solutions.
AB - <p style="text-align: justify;">This paper is concerned with the existence of positive solutions to
nonlinear $q$-fractional differential equations yielding to the integral boundary
value conditions. Under sufficient conditions of the nonlinearity, by using some
iterative techniques, we get that this problem has two positive solutions and a
unique positive solution respectively. Our results improve some recent work.</p>