Preview

Doklady BGUIR

Advanced search

ANALYSIS OF EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES

Abstract

The Cauchy problem for differential equations with Caputo fractional derivatives is given. New methods for studying the regions of existence of solutions of these equations are presented. Analysis of changes in these areas was done by changing the settings right and left sides of the equation.

About the Author

E. A. Barkova
Белорусский государственный университет информатики и радиоэлектроники
Belarus


References

1. Kilbas A.A., Trujillo J.J. // Applicable Analysis. 2001. №1. P. 153-192.

2. Kilbas A.A., Rivero M., Trujillo J.J. // Fract. Calc. Appl. Anal. 2003. Vol. 6, № 4. P. 363-399.

3. Забрейко П.П., Баркова Е.А //Докл. Национ. академии наук Беларуси. 2010. №2. С. 1-6.


Review

For citations:


Barkova E.A. ANALYSIS OF EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES. Doklady BGUIR. 2012;(8):64-68. (In Russ.)

Views: 314


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 1729-7648 (Print)
ISSN 2708-0382 (Online)