POSITIVE SOLUTIONS FOR SUPERLINEAR RIEMANN-LIOUVILLE FRACTIONAL BOUNDARY-VALUE PROBLEMS

被引：0

作者：

Bachar, Imed ^{[1
]}

Maagli, Habib ^{[2
,3
]}

Radulescu, Vicentiu D. ^{[4
,5
]}

机构：

[1] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[2] King Abdulaziz Univ, Coll Sci & Arts, Dept Math, Rabigh Campus POB 344, Rabigh 21911, Saudi Arabia

[3] Fac Sci Tunis, Dept Math, Campus Univ, Tunis 2092, Tunisia

[4] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[5] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Fractional differential equation; positive solution; Green's function; perturbation; Schauder fixed point theorem; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a perturbation argument, we establish the existence and uniqueness of a positive continuous solution for the following superlinear RiemannLiouville fractional boundary-value problem D-alpha u(x) - u(x)phi(x, u (x)) = 0, 0 < x < 1, u(0) = u'(0) = lim (x -> 0+) x(4-alpha) u"(x) = 0, u" (1) = a > 0; where 3 < alpha <= 4 and phi(x, t) satisfies a suitable integrability condition.

引用

页数：16

共 29 条

[1]

[Anonymous], 1999, SCI COMPUTING CHEM E

[2]

[Anonymous], 2002, Appl. Anal. Vol.I

[3]

[Anonymous], 2000, Applications of Fractional Calculus in Physics

[4]

[Anonymous], 2008, QUALITATIVE ANAL NON

[5]

[Anonymous], ELECT J DIFFERENTIAL

[6]

[Anonymous], 1993, INTRO FRACTIONAL CA

[7]

[Anonymous], 2006, Journal of the Electrochemical Society

[8]

[Anonymous], ELECT J QUAL THEORY

[9] Fractional Navier boundary value problems [J].

Bachar, Imed ;

Maagli, Habib ;

Radulescu, Vicentiu D. .

BOUNDARY VALUE PROBLEMS, 2016, :1-14

[10] Existence and Global Asymptotic Behavior of Positive Solutions for Sublinear and Superlinear Fractional Boundary Value Problems [J].

Bachar, Imed ;

Maagli, Habib ;

Toumi, Faten ;

Zine El Abidine, Zagharide .

CHINESE ANNALS OF MATHEMATICS SERIES B, 2016, 37 (01) :1-28

← 1 2 3 →