Existence solutions for nonlocal fractional differential equation with nonlinear boundary conditions

被引：0

作者：

Nyamoradi, N. ^{[1
]}

Dizaji, H. Alaei ^{[2
]}

机构：

[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

[2] Payame Noor Univ, Dept Math, Tehran, Iran

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2014年 / 38卷 / A4期

关键词：

Cone; fixed point theorem; standard Caputo; derivative; POSITIVE SOLUTIONS; CALCULUS APPROACH; HIGHER-ORDER; SYSTEM;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, by employing the Guo-Krasnoselskii fixed point theorem in a cone, we study the existence of positive solutions to the following nonlocal fractional boundary value problems { (c)D(0)(+)(alpha)u(t) = f(t, u(t)), t is an element of (0,1), u(t) + u'(0) = 1/2[H-1 (phi(u)) + integral(E) H-2 (s, u(s))ds], u (1) + u'(1) = 0, where D-c(0)+(alpha) is the standard Caputo derivative of order alpha,1 < alpha < 2, E subset of (0,1) is some measurable set. We provide conditions on f, H-1, H-2 and phi such that the problem exhibits at least one positive solution.

引用

页码：455 / 461

页数：7

共 50 条

[41] Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions
Bashir Ahmad
Sotiris K. Ntouyas
Ahmed Alsaedi
Journal of Applied Mathematics and Computing, 2017, 53 : 129 - 145
[42] EXISTENCE OF POSITIVE SOLUTIONS FOR A BOUNDARY VALUE PROBLEM OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION
Torres, F. J.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2013, 39 (02) : 307 - 323
[43] On existence of solutions for fractional differential equations with nonlocal multi-point boundary conditions
Houas M.
Dahmani Z.
Lobachevskii Journal of Mathematics, 2016, 37 (2) : 120 - 127
[44] Existence of solutions for Caputo fractional delay differential equations with nonlocal and integral boundary conditions
Cui, Ziyue
Zhou, Zongfu
FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2023, 2023 (01):
[45] EXISTENCE OF MILD SOLUTIONS FOR A NEUTRAL FRACTIONAL EQUATION WITH FRACTIONAL NONLOCAL CONDITIONS
Tatar, Nasser-Eddine
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[46] Existence result for a nonlinear fractional differential equation with integral boundary conditions at resonance
Shuqin Zhang
Lei Hu
Ailing Shi
Advances in Difference Equations, 2013
[47] The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
Feng, Meiqiang
Liu, Xiaofang
Feng, Hanying
ADVANCES IN DIFFERENCE EQUATIONS, 2011,
[48] Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions
Bai, Zhanbing
Dong, Xiaoyu
Yin, Chun
BOUNDARY VALUE PROBLEMS, 2016,
[49] The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
Meiqiang Feng
Xiaofang Liu
Hanying Feng
Advances in Difference Equations, 2011
[50] Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions
Zhanbing Bai
Xiaoyu Dong
Chun Yin
Boundary Value Problems, 2016

← 1 2 3 4 5 →