Mild and strong solutions for a fractional nonlinear Neumann boundary value problem

被引：0

作者：

Herzallah, Mohamed A. E. ^{[1
,2
]}

El-Shahed, Moustafa ^{[3
]}

Baleanu, Dumitru ^{[4
,5
]}

机构：

[1] Zagazig Univ, Fac Sci, Zagazig, Egypt

[2] Majmaah Univ, Coll Sci Zulfi, Al Majmaah, Saudi Arabia

[3] Coll Educ, Qassim Unaizah, Saudi Arabia

[4] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

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

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2013年 / 15卷 / 02期

关键词：

Fractional Caputo derivative; Boundary value problem; Neumann conditions; Schauffer fixed point theorem; POSITIVE SOLUTIONS; ORDER; EXISTENCE;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we investigated the following fractional Neumann boundary value problem D-C(0)alpha+u(t) - lambda u(t) = f (t, u(t)), u'(0) = u'(1) = 0, 1 < alpha < 2, lambda not equal 0, where D-C(a+)alpha is the fractional Caputo derivative. We proved the existence of at least one mild solution and we determined when this solution is unique for suitable assumptions on the function f

引用

页码：341 / 352

页数：12

共 50 条

[1] MULTIPLE SOLUTIONS FOR A NONLINEAR PERTURBED FRACTIONAL BOUNDARY VALUE PROBLEM
Heidarkhani, Shapour
DYNAMIC SYSTEMS AND APPLICATIONS, 2014, 23 (2-3): : 317 - 331
[2] Positive solutions for integral nonlinear boundary value problem in fractional Sobolev spaces
Azzaoui, Bouchra
Tellab, Brahim
Zennir, Khaled
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (03) : 3115 - 3131
[3] INFINITELY MANY SOLUTIONS FOR A PERTURBED NONLINEAR FRACTIONAL BOUNDARY-VALUE PROBLEM
Bai, Chuanzhi
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[4] POSITIVE SOLUTIONS OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEM
Sun, Yan
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2018, 19 (04): : 369 - 389
[5] Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
Xu, Xiaojie
Jiang, Daqing
Yuan, Chengjun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4676 - 4688
[6] Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations
Zhao, Yige
Wang, Yuzhen
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[7] Positive solutions to singular boundary value problem for nonlinear fractional differential equation
Zhang, Shuqin
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) : 1300 - 1309
[8] Positive solutions for boundary value problem of nonlinear fractional functional differential equations
Li, Xiaoyan
Liu, Song
Jiang, Wei
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) : 9278 - 9285
[9] Mild and strong solutions to few types of fractional order nonlinear equations with periodic boundary conditions
Herzallah, Mohamed A. E.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2012, 43 (06) : 619 - 635
[10] Boundary value problem for nonlinear fractional differential equations with delay
Niazi, Azmat Ullah Khan
Wei, Jiang
Rehman, Mujeeb Ur
Denghao, Pang
ADVANCES IN DIFFERENCE EQUATIONS, 2017,

← 1 2 3 4 5 →