In this paper, we prove the existence of solutions for an anti-periodic boundary value problem of nonlinear impulsive fractional differential equations by applying some known fixed point theorems. Some examples are presented to illustrate the main results.

In this study, a high-order compact finite difference method is used to solve boundary value problems with Robin conditions. The norm use first-order scheme approximate Neumann and conditions, but that compromises the accuracy of entire scheme. As result, new higher-order schemes for approximating conditions are developed in work. Six examples testing applicability performance considered. Conve...

We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate...

This paper develops fourth order discretizations to the two-point boundary value problem y(2kt)=f(t,y(t),y(1\t)), ^o^0) "o^(1)(°) = 60' al ?W + "l^1^1) = 5 1These discretizations have the desirable properties that they are tridiagonal and of "positive type".

In this article, we concerned with the development of a method for solving two point boundary value problems of ordinary differential equations. To develop method, we consider derivative of solution of a problem as an intermediate problem (IP). The analytical solution of the problem and IP were locally approximated by a nonlinear function with fixed step length. Some numerical experiments have ...