Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay
Fractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and engineering. In this line of ta...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/108651 |
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| _version_ | 1832552340732772352 |
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| author | S. J. Sadati D. Baleanu A. Ranjbar R. Ghaderi T. Abdeljawad (Maraaba) |
| author_facet | S. J. Sadati D. Baleanu A. Ranjbar R. Ghaderi T. Abdeljawad (Maraaba) |
| author_sort | S. J. Sadati |
| collection | DOAJ |
| description | Fractional calculus
started to play an important role for analysis
of the evolution of the nonlinear dynamical
systems which are important in various branches
of science and engineering. In this line of
taught in this paper we studied the stability of
fractional order nonlinear time-delay systems
for Caputo's derivative, and we proved two
theorems for Mittag-Leffler stability of the
fractional nonlinear time delay
systems. |
| format | Article |
| id | doaj-art-12daec411c364741bfc5f8691ad46105 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-12daec411c364741bfc5f8691ad461052025-02-03T05:58:51ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/108651108651Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with DelayS. J. Sadati0D. Baleanu1A. Ranjbar2R. Ghaderi3T. Abdeljawad (Maraaba)4Department of Electrical and Computer Engineering, Faculty of Electrical Engineering, Babol Noshirvani University of Technology, Babol, IranDepartment of Mathematics and Computer Science, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, TurkeyDepartment of Electrical and Computer Engineering, Faculty of Electrical Engineering, Babol Noshirvani University of Technology, Babol, IranDepartment of Electrical and Computer Engineering, Faculty of Electrical Engineering, Babol Noshirvani University of Technology, Babol, IranInstitute of Space Sciences, P.O. Box MG-23, 76900 Magurele-Bucharest, RomaniaFractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and engineering. In this line of taught in this paper we studied the stability of fractional order nonlinear time-delay systems for Caputo's derivative, and we proved two theorems for Mittag-Leffler stability of the fractional nonlinear time delay systems.http://dx.doi.org/10.1155/2010/108651 |
| spellingShingle | S. J. Sadati D. Baleanu A. Ranjbar R. Ghaderi T. Abdeljawad (Maraaba) Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay Abstract and Applied Analysis |
| title | Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay |
| title_full | Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay |
| title_fullStr | Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay |
| title_full_unstemmed | Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay |
| title_short | Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay |
| title_sort | mittag leffler stability theorem for fractional nonlinear systems with delay |
| url | http://dx.doi.org/10.1155/2010/108651 |
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