Asymptotic stability in Caputo-Hadamard fractional dynamic equations
Abstract
Keywords
References
- [1] M. Adivar, Y. N. Raffoul, Existence of periodic solutions in totally nonlinear delay dynamic equations, Electronic Journal of Qualitative Theory of Differential Equations 2009(1) (2009), 1--20.
- [2] A. Ahmadkhanlu and M. Jahanshahi, On the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales, Bull. Iranian Math. Soc. 38 (2012), no. 1, 241-252.
- [3] R. P. Agarwal, M. Bohner, A. Peterson and D. O'Regan, Advances in Dynamic Equations on Time Scales, Birkhaurser, Boston, 2003.
- [4] R. P. Agarwal, Y. Zhou, Y. He, Existence of fractional functional differential equations, Computers and Mathematics with Applications 59 (2010) 1095-1100.
- [5] A. Ardjouni, I. Derrardjia and A. Djoudi, Stability in totally nonlinear neutral differential equations with variable delay, Acta Math. Univ. Comenianae, Vol. LXXXIII, 1 (2014), pp. 119-134.
- [6] A. Ardjouni, A Djoudi, Existence of periodic solutions for nonlinear neutral dynamic equations with functional delay on a time scale, Acta Univ. Palacki. Olomnc., Fac. rer. nat., Mathematica 52, 1 (2013) 5-19.
- [7] A. Ardjouni, A Djoudi, Stability in neutral nonlinear dynamic equations on time scale with unbounded delay, Stud. Univ. Babeç-Bolyai Math. 57(2012), No. 4, 481-496.
- [8] A. Ardjouni, A Djoudi, Fixed points and stability in linear neutral differential equations with variable delays, Nonlinear Analysis 74 (2011), 2062-2070.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Abdelouaheb Ardjouni
*
Algeria
Publication Date
June 30, 2021
Submission Date
January 21, 2021
Acceptance Date
May 6, 2021
Published in Issue
Year 2021 Volume: 4 Number: 2
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