New variants of fuzzy optimal control problems
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
A fractional model based on caputo derivative for tuberculosis transmission using real data from Kenya. [PDF]
Bhatia B +4 more
europepmc +1 more source
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
Mathematical model of optimal control for endometrial cancer with treatments dostarlimab and chemotherapy using Caputo derivative. [PDF]
Ramalakshmi K, Samei ME.
europepmc +1 more source
On a linear-quadratic problem with Caputo derivative
Dariusz Idczak, Stanisław Walczak
openalex +1 more source
No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system
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
Analysis of nonlinear Burgers equation with time fractional Atangana-Baleanu-Caputo derivative. [PDF]
Ghafoor A, Fiaz M, Shah K, Abdeljawad T.
europepmc +1 more source
On qualitative analysis of an ecological dynamics with time delay
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
Predictive modeling of hepatitis B viral dynamics: a caputo derivative-based approach using artificial neural networks. [PDF]
Turab A +5 more
europepmc +1 more source
On Cauchy problems with Caputo Hadamard fractional derivatives
Summary: The current work is motivated by the so-called Caputo-type modification of the Hadamard or Caputo Hadamard fractional derivative. The main aim of this paper is to study Cauchy problems for a differential equation with a left Caputo Hadamard fractional derivative in spaces of continuously differentiable functions.
Adjabi, Y. +3 more
openaire +2 more sources

