Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation

Joint Authors

Huiqin, Chen
Gao, Ying
Kong, Lili
Kang, Shugui

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-02-26

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

A class of boundary value problems of Caputo fractional q-difference equation is introduced.

Green’s function and its properties for this problem are deduced.

By applying these properties and the Leggett-Williams fixed-point theorem, existence criteria of three positive solutions are obtained.

At last, some examples are given to illustrate the validity of our main results.

American Psychological Association (APA)

Huiqin, Chen& Kang, Shugui& Kong, Lili& Gao, Ying. 2018. Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1152402

Modern Language Association (MLA)

Huiqin, Chen…[et al.]. Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1152402

American Medical Association (AMA)

Huiqin, Chen& Kang, Shugui& Kong, Lili& Gao, Ying. Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1152402

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1152402