Results 91 to 100 of about 20,315 (242)

New variants of fuzzy optimal control problems

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 116-123, January 2026.
Abstract This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems.
Awais Younus   +3 more
wiley   +1 more source

Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives

open access: yes, 2011
In this work we study a generalized nonlocal thermistor problem with fractional-order Riemann-Liouville derivative. Making use of fixed-point theory, we obtain existence and uniqueness of a positive solution.Comment: Submitted 17-Jul-2011; revised 09-Oct-
Ammi, Moulay Rchid Sidi   +1 more
core   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

A New Generalized Definition of Fractional Derivative with Non-Singular Kernel

open access: yesComputation, 2020
This paper proposes a new definition of fractional derivative with non-singular kernel in the sense of Caputo which generalizes various forms existing in the literature. Furthermore, the version in the sense of Riemann–Liouville is defined.
Khalid Hattaf
doaj   +1 more source

On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative

open access: yesJournal of Function Spaces, 2021
Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence
Zareen A. Khan, Rozi Gul, Kamal Shah
doaj   +1 more source

Some incomplete Riemann-Liouville fractional derivative operators

open access: yes, 2022
Several investigations were done by many researchers on extended fractional derivatives operators using different kinds of extended Beta functions (see, e.g.,([4],[7],[8],[18],[20]), and references therein). In this sequel, we develop some new properties on incomplete extended Riemann-Liouville fractional derivative operators with the help of new ...
Menon, Mudita   +2 more
openaire   +1 more source

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi   +3 more
wiley   +1 more source

Fractional differential repetitive processes with Riemann–Liouville and Caputo derivatives [PDF]

open access: yesMultidimensional Systems and Signal Processing, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Idczak, Dariusz, Kamocki, Rafał
openaire   +2 more sources

On qualitative analysis of an ecological dynamics with time delay

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 46-56, January 2026.
Abstract In this paper, we study a fractional‐order predator–prey system with time delay, where the dynamics are logistic with prey population commensurate to the carrying capacity. Mainly, by linearizing the system around the equilibrium point, we first analyze the stability and then prove the existence of Hopf bifurcation.
Canan Celik, Kubra Degerli
wiley   +1 more source

Fractional derivative generalization of Noether’s theorem

open access: yesOpen Mathematics, 2015
The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam   +2 more
doaj   +1 more source

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