Positive solutions for periodic boundary value problem of fractional differential equation in Banach spaces

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 Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces

and Applied Analysis 3 where CD 0 is the Caputo’s fractional derivative, a1, a2, b1, b2, d1, and d2 are real numbers, 0 < η1, and η2 < 1. In 20 , Stanĕk has discussed the existence of positive solutions for the singular fractional boundary value problem Du t f ( t, u, u′, Du ) 0, 2 < q < 3, 0 < p < 1, u 0 0, u′ 0 u′ 1 0. 1.7 However, to the best of the author’s knowledge, a few papers can be fo...

Positive Solution for Boundary Value Problem of Fractional Dierential Equation

In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.

Positive solution for boundary value problem of fractional dierential equation

In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.