In this paper, we investigate the existence of solutions for boundary value problems nonlinear impulsive conformable fractional differential equations with delay. By establishing associate Green's function and a comparison result linear problem, obtain that lower upper converge to extremal via monotone iterative technique. An example is also presented in last section.

A system of nonlinear variational inclusions involving general H-monotone operators in Banach spaces is introduced. Using the resolvent operator technique, we suggest an iterative algorithm for finding approximate solutions to the system of nonlinear variational inclusions, and establish the existence of solutions and convergence of the iterative algorithm for the system of nonlinear variationa...

The article shows the existence of positive solutions for systems of nonlinear singular differential equations with integral boundary conditions on an infinite interval in Banach spaces. Our main tool is the Mönch fixed point theorem combined with a monotone iterative technique. In addition, an explicit iterative approximation of the solution is provided.

in this paper, a monotone positive solution is studied for buckling of a distributed model of multi walled carbon nanotube (mwcnt) cantilevers in the vicinity of thin and thick graphite sheets subject to intermolecular forces. in the modeling of intermolecular forces, van der waals forces are taken into account. a hybrid nano-scale continuum model based on lennard–jones potential is applied to ...

This work presents sufficient conditions for the existence and uniqueness of positive solutions for a discrete fourth-order beam equation under Lidstone boundary conditions with a parameter; the iterative sequences yielding approximate solutions are also given. The main tool used is monotone iterative technique.

This paper deals with a new system of nonlinear variational inclusion problems involving (A, η)-maximal relaxed monotone and relative (A, η)-maximal monotone mappings in 2-uniformly smooth Banach spaces. Using the generalized resolvent operator technique, the approximation solvability of the proposed problem is investigated. An iterative algorithm is constructed to approximate the solution of t...