Zobrazeno 1 - 10
of 525
pro vyhledávání: '"Discrete fractional calculus"'
Autor:
A. Othman Almatroud, Giuseppe Grassi, Amina Aicha Khennaoui, Abderrahmane Abbes, Adel Ouannas, Saleh Alshammari, Sahar Albosaily
Publikováno v:
Alexandria Engineering Journal, Vol 93, Iss , Pp 1-6 (2024)
Referring to fractional memristor-based discrete systems, this paper contributes to the field by presenting a new fourth-dimensional (4D) hyperchaotic memristor-based fractional map. The conceived system, obtained by combining a non-integer order dis
Externí odkaz:
https://doaj.org/article/b7b9b4fdcb6c42d2938bf9543143268f
Publikováno v:
Symmetry, Vol 16, Iss 11, p 1447 (2024)
According to recent research, discrete-time fractional-order models have greater potential to investigate behaviors, and chaotic maps with fractional derivative values exhibit rich dynamics. This manuscript studies the dynamics of a new fractional ch
Externí odkaz:
https://doaj.org/article/7fdf761a528c4bb3995a934f485fab71
Autor:
Marko Kostić
Publikováno v:
Axioms, Vol 13, Iss 9, p 623 (2024)
In this paper, we introduce several new types of partial fractional derivatives in the continuous setting and the discrete setting. We analyze some classes of the abstract fractional differential equations and the abstract fractional difference equat
Externí odkaz:
https://doaj.org/article/69efaecaca9049f0a5694413a359416b
Autor:
Ma’mon Abu Hammad, Louiza Diabi, Amer Dababneh, Amjed Zraiqat, Shaher Momani, Adel Ouannas, Amel Hioual
Publikováno v:
Symmetry, Vol 16, Iss 7, p 840 (2024)
This paper introduces a new symmetric fractional-order discrete system. The dynamics and symmetry of the suggested model are studied under two initial conditions, mainly a comparison of the commensurate order and incommensurate order maps, which high
Externí odkaz:
https://doaj.org/article/ef9ce503f4ec4dddbdc8dacd22d6abbe
Autor:
Othman Abdullah Almatroud, Amina-Aicha Khennaoui, Adel Ouannas, Saleh Alshammari, Sahar Albosaily
Publikováno v:
Fractal and Fractional, Vol 8, Iss 6, p 322 (2024)
This paper introduces and explores the dynamics of a novel three-dimensional (3D) fractional map with hidden dynamics. The map is constructed through the integration of a discrete sinusoidal memristive into a discrete Duffing map. Moreover, a mathema
Externí odkaz:
https://doaj.org/article/31df56b3c958423588870bb8cc98ab5d
Autor:
Pshtiwan Othman Mohammed, Rajendra Dahal, Christopher S. Goodrich, Y. S. Hamed, Dumitru Baleanu
Publikováno v:
AIMS Mathematics, Vol 8, Iss 3, Pp 5540-5550 (2023)
We show that a class of fractional differences with Mittag–Leffler kernel can be negative and yet monotonicity information can still be deduced. Our results are complemented by numerical approximations. This adds to a growing body of literature ill
Externí odkaz:
https://doaj.org/article/bb117b5bc5c94523ab4ea522c29cf395
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Akademický článek
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Autor:
Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Dumitru Baleanu, Ehab E. Elattar, Y. S. Hamed
Publikováno v:
Electronic Research Archive, Vol 30, Iss 8, Pp 3058-3070 (2022)
In this article, we investigate some new positivity and negativity results for some families of discrete delta fractional difference operators. A basic result is an identity which will prove to be a useful tool for establishing the main results. Our
Externí odkaz:
https://doaj.org/article/e8e9f57a1edd48dc80c54df7fb1b1059
Autor:
Pshtiwan Othman Mohammed, Donal O'Regan, Aram Bahroz Brzo, Khadijah M. Abualnaja, Dumitru Baleanu
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 15812-15823 (2022)
In this study, we consider positivity and other related concepts such as α−convexity and α−monotonicity for discrete fractional operators with exponential kernel. Namely, we consider discrete Δ fractional operators in the Caputo sense and we a
Externí odkaz:
https://doaj.org/article/da56d81339e44a1893678c1ce5e6c9ed