Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation

Joint Authors

Shammakh, Wafa M.
El-Shahed, Moustafa

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-06-12

Country of Publication

Egypt

No. of Pages

20

Main Subjects

Mathematics

Abstract EN

We investigate an m-point boundary value problem for nonlinear fractional differential equations.

The associated Green function for the boundary value problem is given at first, and some useful properties of the Green function are obtained.

By using the fixed point theorems of cone expansion and compression of norm type and Leggett-Williams fixed point theorem, the existence of multiple positive solutions is obtained.

American Psychological Association (APA)

El-Shahed, Moustafa& Shammakh, Wafa M.. 2011. Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-513822

Modern Language Association (MLA)

El-Shahed, Moustafa& Shammakh, Wafa M.. Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation. Abstract and Applied Analysis No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-513822

American Medical Association (AMA)

El-Shahed, Moustafa& Shammakh, Wafa M.. Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-513822

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-513822