UNIQUENESS AND EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Nyamoradi, Nemat ^{[1
]}

Bashiri, Tahereh ^{[2
]}

Vaezpour, S. Mansour ^{[2
]}

Baleanu, Dumitru ^{[3
,4
,5
]}

机构：

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

[2] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran, Iran

[3] Cankaya Univ, Dept Math & Comp Sci, Fac Art & Sci, TR-06530 Ankara, Turkey

[4] Inst Space Sci, R-76900 Magurele, Romania

[5] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Existence of solutions; Banachs fixed point theorem; Leray-Schauders alternative; BOUNDARY-VALUE PROBLEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence of positive solutions for the singular fractional boundary value problem [GRAPHICS] where 1 < alpha <= 2, 0 < xi <= 1/2, a is an element of [0, infinity), 1 < alpha - delta < 2, 0 < beta(i) < 1, A, B-i, 1 <= i <= k, are real constant, D-alpha is the Reimann-Liouville fractional derivative of order alpha. By using the Banach's fixed point theorem and Leray-Schauder's alternative, the existence of positive solutions is obtained. At last, an example is given for illustration.

引用

页数：13

共 50 条

[21] Existence and Uniqueness of Positive Solutions for Boundary Value Problems of Fractional Differential Equations
Afshari, Hojjat
Marasi, Hamidreza
Aydi, Hassen
[J]. FILOMAT, 2017, 31 (09) : 2675 - 2682
[22] Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
Zhang, Xinguang
Han, Yuefeng
[J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 555 - 560
[23] Existence and uniqueness of positive solutions to fractional Laplacians with singular nonlinearities
Tai, Dejun
Fang, Yanqin
[J]. APPLIED MATHEMATICS LETTERS, 2021, 119
[24] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
Benchohra, Mouffak
Slimani, Boualem Attou
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[25] Existence and uniqueness of solutions for impulsive fractional differential equations
Rehman, Mujeeb Ur
Eloe, Paul W.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 422 - 431
[26] On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations
Jafari, Hossein
Jassim, Hassan Kamil
Al Qurashi, Maysaa
Baleanu, Dumitru
[J]. ENTROPY, 2016, 18 (11)
[27] On the existence and uniqueness of solutions of a class of fractional differential equations
Ibrahim, Rabha W.
Momani, Shaher
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 1 - 10
[28] Existence of Positive Solutions to the Singular Initial Value Problems of Fractional Differential Equations
Li, Qiuping
Sun, Shurong
Han, Zhenlai
Zhao, Yige
[J]. MEMS, NANO AND SMART SYSTEMS, PTS 1-6, 2012, 403-408 : 563 - 569
[29] EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
Jin, Jingfu
Liu, Xiping
Jia, Mei
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[30] Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
Guo, Limin
Liu, Lishan
Wu, Yonghong
[J]. BOUNDARY VALUE PROBLEMS, 2016,

← 1 2 3 4 5 →