In this paper, we investigate the existence and nonexistence of positive solutions for a system Riemann–Liouville fractional differential equations with r-Laplacian operators, subject to nonlocal uncoupled boundary conditions that contain Riemann–Stieltjes integrals, various derivatives parameters. We first change unknown functions such new have no parameters, then, by using corresponding Green...

in this paper, we prove some coupled coincidence point theorems for mappings with the mixedmonotone property and obtain the uniqueness of this coincidence point. then we providing useful examples in nash equilibrium.

The paper deals with the existence and nonexistence of positive solutions for a class of p-Laplacian systems. We investigate the effect of the size of the domain on the existence of positive solution for the problem in sublinear cases. We will use fixed point theorems in a cone. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted...

In this paper, we investigate the existence of at least one positive solution for a class of fractional q-difference boundary value problems with φ -Laplacian operator. The arguments mainly rely on the upper and lower solutions method as well as the Schauder’s fixed point theorem. Nonlinear term may be singular at t = 0,1 or u = 0. Furthermore, two examples are presented to illustrate the main ...

*Correspondence: [email protected] Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, P.R. China Abstract In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem involving the p-Laplacian operator. Our analysis relies on some properties of the Green function and the Guo-Krasnoselskii fixed point theorem and the Ban...

In this paper, we study a partial integral differential equation with p-Laplacian using mixed finite element method. Two stable and convergent fixed point schemes are proposed to solve the nonlinear algebraic system. Using implementation of method in Matlab environment, numerically analyse convergence an example. Some other examples, which illustrate several asymptotic behaviours some localizat...

This work investigates the existence of multiple positive solutions for a system two nonlinear higher-order fractional differential equations with ϕ-Laplacian operators and nonlocal conditions. A degenerate nonlinearity which obeys some general growth conditions is considered. The singularities are dealt by approximating fixed point operator. New results presented using index theory. Examples a...

Abstract. This paper deals with fixed point theory and fixed point property in minimal spaces. We will prove that under some conditions f : (X,M) → (X,M) has a fixed point if and only if for each m-open cover {Bα} for X there is at least one x ∈ X such that both x and f(x) belong to a common Bα. Further, it is shown that if (X,M) has the fixed point property, then its minimal retract subset enj...

In this paper, we study the solutions for nonlinear fractional differential equations with p-Laplacian operator nonlocal boundary value problem in a Banach space. By means of the technique of the properties of the Kuratowski noncompactness measure and the Sadovskii fixed point theorem, we establish some new existence criteria for the boundary value problem. As application, an interesting exampl...