Existence and uniqueness results for q-fractional difference equations with p-Laplacian operators

被引：9

作者：

Mardanov, Misir J. ^{[1
]}

Mahmudov, Nazim I. ^{[2
]}

Sharifov, Yagub A. ^{[3
]}

机构：

[1] NAS Azerbaijan, Inst Math & Mech, Baku 1141, Azerbaijan

[2] Eastern Mediterranean Univ, Trnc, Turkey

[3] Baku State Univ, Inst Control Syst, NASA, Baku, Azerbaijan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

关键词：

fractional differential equations; existence; fixed point; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS;

D O I：

10.1186/s13662-015-0532-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following two-point boundary value problem for q-fractional p-Laplace difference equations. New results on the existence and uniqueness of solutions for q-fractional boundary value problem are obtained. These results extend the corresponding ones of ordinary differential equations of integer order. Finally, an example is presented to illustrate the validity and practicability of our main results.

引用

页数：13

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