Existence of positive solutions for a singular nonlinear semipositone fractional differential equations with parametric dependence

Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations

In this paper, we consider a coupled system of nonlinear fractional differential equations (FDEs), such that both equations have a particular perturbed terms. Using emph{Leray-Schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.

Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations

Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations

This article is devoted to the study of existence and multiplicity of positive solutions to a class of nonlinear fractional order multi-point boundary value problems of the type−Dq0+u(t) = f(t, u(t)), 1 < q ≤ 2, 0 < t < 1,u(0) = 0, u(1) =m−2∑ i=1δiu(ηi),where Dq0+ represents standard Riemann-Liouville fractional derivative, δi, ηi ∈ (0, 1) withm−2∑i=1δiηi q−1 < 1, and f : [0, 1] × [0, ∞) → [0, ...

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.

Existence and Nonexistence of Positive Solutions for a System of Nonlinear Singular Fractional Differential Equations

In this paper, we establish sufficient conditions for the existence and nonexistence of positive solutions to the following nonlinear fractional differential system ⎪⎪⎨ ⎪⎪⎩ Dαu(t)+a(t) f (t,u,v) = 0 in (0,1) , Dβ v(t)+b(t)g(t,u,v) = 0 in (0,1) , u(0) = 0, u(1) = 0, u′(0) = 0, v(0) = 0, v(1) = 0, v′(0) = 0, (P) where 2 < α ,β 3 , a,b ∈ C ((0,1) , [0,+∞)) and the functions f ,g belong to C ([0,1]...