Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian

Author

Bors, Dorota

Source

The Scientific World Journal

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-02

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Medicine
Information Technology and Computer Science

Abstract EN

We consider a class of partial differential equations with the fractional Laplacian and the homogeneousDirichlet boundary data.

Some sufficient condition under which the solutions of the equations considered depend continuously on parameters is stated.

The application of the results to some optimal control problem is presented.

The methods applied in the paper make use of the variational structure of the problem.

American Psychological Association (APA)

Bors, Dorota. 2014. Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1051608

Modern Language Association (MLA)

Bors, Dorota. Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1051608

American Medical Association (AMA)

Bors, Dorota. Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1051608

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1051608