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Solvability and Mittag–Leffler–Ulam stability for fractional Duffing problem with three sequential fractional derivatives.
- Source :
-
Mathematical Methods in the Applied Sciences . Mar2024, Vol. 47 Issue 4, p1807-1822. 16p. - Publication Year :
- 2024
-
Abstract
- In this paper, we discuss the existence, uniqueness, and the Mittag–Leffler–Ulam stability of solutions for fractional Duffing equations involving three fractional derivatives. Uniqueness result for solution of the underlying Duffing problem is given with the help of Banach's fixed point theorem, where the existence result is computed using Leray–Schauder's alternative. Also, the Mittag–Leffler–Ulam stability results are computed by employing generalized singular Gronwall's inequality. An illustrative example is also given. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DUFFING equations
*GRONWALL inequalities
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 175388138
- Full Text :
- https://doi.org/10.1002/mma.9719