Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p -Laplacian Operator

Joint Authors

Jiang, Min
Zhong, Shouming

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-15

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Mathematics

Abstract EN

This paper investigates the existence, multiplicity, nonexistence, and uniqueness of positive solutions to a kind of two-point boundary value problem for nonlinear fractional differential equations with p -Laplacian operator.

By using fixed point techniques combining with partially ordered structure of Banach space, we establish some criteria for existence and uniqueness of positive solution of fractional differential equations with p -Laplacian operator in terms of different value of parameter.

In particular, the dependence of positive solution on the parameter was obtained.

Finally, several illustrative examples are given to support the obtained new results.

The study of illustrative examples shows that the obtained results are applicable.

American Psychological Association (APA)

Jiang, Min& Zhong, Shouming. 2014. Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p -Laplacian Operator. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1014132

Modern Language Association (MLA)

Jiang, Min& Zhong, Shouming. Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p -Laplacian Operator. Abstract and Applied Analysis No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1014132

American Medical Association (AMA)

Jiang, Min& Zhong, Shouming. Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p -Laplacian Operator. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1014132

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014132