Existence of triple positive solutions for boundary value problem of nonlinear 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 aclass 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.

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.

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

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

In this paper, we study the existence and nonexistence of positive solutions for the nonlinear differential equation of fractional order 0 ( ) ( ) ( ( )) 0, 0 1, 2 3, D u t a t f u t t α λ α + + = ≤ ≤ < ≤ where 0 D α + is the standard Riemann-Liouville fractional derivative, subject to the boundary conditions ( ) ( ) (0) (0) 0, (1) . u u u u u β η γ ξ ′ ′ ′ ′ = = = + Our analysis relies on Kras...