Positive Solutions of the (n-1, 1) Conjugate Boundary Value Problem

Multiple positive solutions for (n-1, 1)-type semipositone conjugate boundary value problems of nonlinear fractional differential equations

In this paper, we consider (n-1, 1)-type conjugate boundary value problem for the nonlinear fractional differential equation D0+u(t) + λf(t, u(t)) = 0, 0 < t < 1, λ > 0, u(0) = 0, 0 ≤ j ≤ n− 2, u(1) = 0, where λ is a parameter, α ∈ (n− 1, n] is a real number and n ≥ 3, and D0+ is the Riemann-Liouville’s fractional derivative, and f is continuous and semipositone. We give properties of Green’s f...

Multiple positive solutions for (n-1, 1)-type semipositone conjugate boundary value problems for coupled systems of nonlinear fractional differential equations

In this paper, we consider (n-1, 1)-type conjugate boundary value problem for coupled systems of the nonlinear fractional differential equation

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.

Triple Positive Solutions for Boundary Value Problem of a Nonlinear Fractional Differential Equation