Results 81 to 90 of about 397,746 (163)

Analytical Solutions of Time-Fractional Navier–Stokes Equations Employing Homotopy Perturbation–Laplace Transform Method

Fractal and Fractional
The aim of this article is to introduce analytical and approximate techniques to obtain the solution of time-fractional Navier–Stokes equations. This proposed technique consists is coupling the homotopy perturbation method (HPM) and Laplace transform (LT)
Awatif Muflih Alqahtani, Hamza Mihoubi, Yacine Arioua, Brahim Bouderah   +3 more
doaj   +1 more source

Convergence-to-Zero and Guaranteed-Cost Synchronization of Caputo–Hadamard Fractional-Order Systems with a Time-Varying Delay

Mathematics
In this paper, the convergence-to-zero and finite-horizon guaranteed-cost synchronization criteria are developed for linear Caputo–Hadamard fractional-order systems with an admissible time-varying delay.
Ymnah Alruwaily, Slim Dhahri, Foued Mtiri   +2 more
doaj   +1 more source

Dynamics of the Caputo fractional derivative [PDF]

In this article we analyse the dynamical behaviour of the Caputo complex fractional derivative. We prove that the Caputo complex fractional derivative operator is Devaney chaotic in the Mittag-Leffler Caputo space.
Murillo-Arcila, Marina, Vargas Moreno, Álvaro, Vargas-Moreno, Álvaro, Murillo Arcila, Marina, Peris Manguillot, Alfredo, Peris, A.   +5 more
core   +1 more source

L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]

Commun Appl Math Comput, 2023
Wang Z.
europepmc   +1 more source

On Some Impulsive Fractional Integro-Differential Equation with Anti-Periodic Conditions

Fractal and Fractional
We investigate a class of boundary value problems (BVPs) involving an impulsive fractional integro-differential equation (IF-IDE) with the Caputo–Hadamard fractional derivative (C-HFD). We employ some fixed-point theorems (FPTs) to study the existence of
Ymnah Alruwaily, Kuppusamy Venkatachalam, El-sayed El-hady   +2 more
doaj   +1 more source

Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay. [PDF]

Fract Calc Appl Anal, 2022
He BB, Zhou HC, Kou CH.
europepmc   +1 more source

Existence and Uniqueness Results for a Class of Fractional Integro-Stochastic Differential Equations

Fractal and Fractional
The objective of this paper is to demonstrate the existence and uniqueness (EU) of solutions to a class of Fractional Integro-Stochastic Differential Equations (FISDEs) by utilizing the fixed-point technique (FPT) and stochastic techniques. Additionally,
Ayed. R. A. Alanzi, Shokrya S. Alshqaq, Raouf Fakhfakh, Abdellatif Ben Makhlouf   +3 more
doaj   +1 more source

Numerical solution of coupled fractional Ginzburg–Landau equations under Caputo–Hadamard derivative

Results in Physics
This paper introduces a high-performance spectral collocation method for solving coupled fractional Ginzburg–Landau equations involving the Caputo–Hadamard (CH) derivative. The numerical scheme employees two families of shifted Chebyshev polynomials (CPs)
F. Rostami, M.H. Heydari, M. Bayram, D. Baleanu   +3 more
doaj   +1 more source

Sensor Fault Estimation via Polynomial Observers for T–S Fuzzy Caputo–Hadamard Fractional-Order Systems with Monotone Nonlinearities

Fractal and Fractional
In this paper, the issue of robust sensor fault estimation for Takagi–Sugeno (T–S) fuzzy systems with Caputo–Hadamard fractional-order dynamics subject to monotone nonlinearities is addressed.
Slim Dhahri, Sahar Almashaan, Hatem Alwardi, Sultan M. Alzahrani, Abdellatif Ben Makhlouf   +4 more
doaj   +1 more source

Two regularization methods for identifying the initial value of Caputo–Hadamard time-fractional diffusion equation

Mathematical Modelling and Analysis
In this paper, the inverse problem of identifying the unknown initial value for time fractional diffusion equation with Caputo-Hadamard derivative is considered. This problem is illposed and two regularization methods are used to solve it.
Ruo-Hong Li, Ying Cao, Fan Yang, Xiao-Xiao Li   +3 more
doaj   +1 more source