In this article, we study the existence of solutions to boundaryvalue problems for ordinary differential equations with two-point and integral boundary conditions. Existence and uniqueness results are obtained by using well known fixed point theorems. Some illustrative examples are also discussed.

In this article, we discuss the existence of solutions to boundaryvalue problems for a coupled system of fractional differential equations with p-Laplacian operator at resonance. We prove the existence of solutions when dim ker L ≥ 2, using the coincidence degree theory by Mawhin.

In this paper, we study a generalized Sturm-Liouville boundaryvalue problems with two positive parameters. By constructing a completely continuous operator and combining fixed point index theorem and some properties of the eigenvalues of linear operators, we obtain sufficient conditions for the existence of at least one positive solution.

In this article, we discuss the existence of solutions for a boundaryvalue problem of integro-differential equations of fractional order with nonlocal fractional boundary conditions by means of some standard tools of fixed point theory. Our problem describes a more general form of fractional stochastic dynamic model for financial asset. An illustrative example is also presented. 1. Formulation ...

This paper deals with the approximate solution ofhnear 4th-order elhptic boundaryvalue problems by thefimte element method For a displacement method using the nonconforming plate element of M orley and for a mixed method known as Herrmann-Miyoshi-scheme quasi optimal Land L^-error estimâtes are denved The proof essenüally uses L-estimâtes for regularized Green's functwns and then disaere amiloq...

the aim of the present paper is the investigation of some problems which can be reduced to thegoursat problem for a third order equation. some results and theorems are given concerning the existence anduniqunce for solving the suggested problem.

n this paper, at first the  concept of caputo fractionalderivative is generalized on time scales. then the fractional orderdifferential equations are introduced on time scales. finally,sufficient and necessary conditions are presented for the existenceand uniqueness of solution of initial valueproblem including fractional order differential equations.