On The Existence of Positive Solutions for a Local Fractional Boundary Value Problem with an Integral Boundary Condition

被引：3

作者：

Ahmadkhanlu, Asghar ^{[1
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2021年 / 39卷 / 03期

关键词：

Fractional Derivatives; Differential Equations; Boundary Fall Problems; Fixed point Theorem; PARTIAL-DIFFERENTIAL-EQUATIONS; HOMOTOPY PERTURBATION METHOD; CALCULUS;

D O I：

10.5269/bspm.40065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we are concerned with the fractional differential equation D-0(alpha) +u(t) + f(t, u(s)) = 0, 1 < a <= 2 where D-0(alpha) is the standard Hiemai-Lionville fractional derivative, subject to the local boundary conditions u(0) = 0, 0 u(1) + integral(eta)(0) u(t)dt=0, 0 <= eta < 1. We try to obtain the existence of positive solutions by using d point theorems.

引用

页码：53 / 66

页数：14

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