Positive and Nondecreasing Solutions to anm-Point Boundary Value Problem for Nonlinear Fractional Differential Equation

Positive and Nondecreasing Solutions to an m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation

and Applied Analysis 3 For existence theorems for fractional differential equations and applications, we refer to the survey 14 . Concerning the definitions and basic properties, we refer the reader to 15 . 2. Preliminaries and Previous Results For the convenience of the reader, we present here some definitions, lemmas, and results that will be used in the proofs of our main results. Definition...

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 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, ...

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