Monotone iterative method for $\psi$-Caputo fractional
differential equations with nonlinear boundary conditions
Abstract
In this research article, by the utilize of the well-known monotone
iterative technique along with the technique of upper and lower
solutions, we investigate the existence of extremal solutions for a new
category of nonlinear fractional differential equations involving a
novel Caputo version so-called }${\footnotesize
\psi }$% {\footnotesize –Caputo
fractional derivative with nonlinear boundary conditions. As an
application of this work, two pertinent examples are offered to
highlight our theoretical results.