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.
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页码：53 / 66
页数：14
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