Triple-Positive Solutions for a Nonlinear Singular Fractional q-Difference Equation at Resonance

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

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

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.

Positive Solutions for Singular Nonlinear Beam Equation

In paper, we study the existence of solutions for the singular pLaplacian equation` |u′′|p−2u′′ ́′′ − f(t, u) = 0, t ∈ (0, 1) u(0) = u(1) = 0, u′′(0) = u′′(1) = 0, where f(t, u) is singular at t = 0, 1 and at u = 0. We prove the existence of at least one solution.

Existence of positive solutions of nonlinear fractional q-difference equation with parameter

*Correspondence: [email protected] School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P.R. China Abstract In this paper, we study the boundary value problem of a class of nonlinear fractional q-difference equations with parameter involving the Riemann-Liouville fractional derivative. By means of a fixed point theorem in cones, some positive solutions are obtained. As...