Results 71 to 80 of about 52,407 (243)

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

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

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

The existence and stability results of multi-order boundary value problems involving Riemann-Liouville fractional operators

open access: yesAIMS Mathematics, 2023
In this paper, a general framework for the fractional boundary value problems is presented. The problem is created by Riemann-Liouville type two-term fractional differential equations with a fractional bi-order setup. Moreover, the boundary conditions of
Hasanen A. Hammad   +2 more
doaj   +1 more source

Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 497-514, January 2026.
Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari   +2 more
wiley   +1 more source

Study on the variable coefficient space–time fractional Korteweg de Vries equation

open access: yesAin Shams Engineering Journal, 2018
In this paper, the fractional Riccati method is modified for solving nonlinear variable coefficients fractional differential equations involving modified Riemann–Liouville derivative.
Emad A-B. Abdel-Salam, Gamal F. Hassan
doaj   +1 more source

p-Moment Mittag–Leffler Stability of Riemann–Liouville Fractional Differential Equations with Random Impulses

open access: yesMathematics, 2020
Fractional differential equations with impulses arise in modeling real world phenomena where the state changes instantaneously at some moments. Often, these instantaneous changes occur at random moments.
Ravi Agarwal   +3 more
doaj   +1 more source

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