Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions

Author

Abbas, Mohamed I.

Source

Abstract and Applied Analysis

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-12-29

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions.

The first existence and uniqueness result is based on Banach’s contraction principle.

Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem.

An example is given to illustrate the main results.

American Psychological Association (APA)

Abbas, Mohamed I.. 2015. Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1052011

Modern Language Association (MLA)

Abbas, Mohamed I.. Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions. Abstract and Applied Analysis No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1052011

American Medical Association (AMA)

Abbas, Mohamed I.. Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1052011

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1052011