Results 1 to 10 of about 245 (154)

Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative [PDF]

Mathematics, 2021
The main aim of this paper is to investigate the combination synchronization phenomena of various fractional-order systems using the scaling matrix. For this purpose, the combination synchronization is performed by considering two drive systems and one ...
Abdellatif Ben Makhlouf, Abdulaziz Alsenafi, A M Nagy   +2 more
exaly   +4 more sources

Lyapunov-type inequalities for differential equation with Caputo–Hadamard fractional derivative under multipoint boundary conditions [PDF]

Journal of Inequalities and Applications, 2021
In this work, we establish Lyapunov-type inequalities for the fractional boundary value problems with Caputo–Hadamard fractional derivative subject to multipoint and integral boundary conditions. As far as we know, there is no literature that has studied
Youyu Wang
exaly   +3 more sources

Logarithmic Bernstein functions for fractional Rosenau–Hyman equation with the Caputo–Hadamard derivative

Results in Physics
In this study, the Caputo–Hadamard derivative is fittingly used to define a fractional form of the Rosenau–Hyman equation. To solve this equation, the orthonormal logarithmic Bernstein functions (BFs) are created as a suitable basis for handling this ...
Mohammad Hossein Heydari, Mustafa Bayram, Omid Bavi   +2 more
exaly   +4 more sources

Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems [PDF]

Mathematics, 2021
In this paper, we studied the existence results for solutions of a new class of the fractional boundary value problem in the Caputo–Hadamard settings.
Shahram Rezapour, Salim Ben Chikh, Abdelkader Amara, Sotiris K. Ntouyas, Jessada Tariboon, Sina Etemad   +5 more
doaj   +6 more sources

Mittag‐Leffler stability of neural networks with Caputo–Hadamard fractional derivative

Mathematical Methods in the Applied Sciences
In this paper, a Hopfield‐type neural network system with Caputo–Hadamard fractional derivative is discussed. The importance of the existence of the equilibrium point in the analysis of artificial neural networks is well known. Another important investigation is the stability properties. So, the stability of a neural network system is dealt with in the
Fatma Karakoc, Elif Demirci, Aysen Kutahyalioglu   +2 more
exaly   +2 more sources

Analysis of Local Discontinuous Galerkin Method for the Variable-order Subdiffusion Equation with the Caputo–Hadamard Derivative

Taiwanese Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leilei Wei
exaly   +2 more sources

$$\mathscr {S}\mathscr {E}\mathscr {I}\mathscr {A}\mathscr {R}\mathscr {S}$$ S E I A R S model for analyzing $$\mathscr {C}\mathscr {O}\mathscr {V}\mathscr {I}\mathscr {D}$$ C O V I D -19 pandemic process via $$\uppsi $$ ψ -Caputo fractional derivative and numerical simulation [PDF]

Scientific Reports
The objective of this study is to develop the $$\mathscr {S}\mathscr {E}\mathscr {I}\mathscr {A}\mathscr {R}\mathscr {S}$$ S E I A R S epidemic model for $$\mathscr {C}\mathscr {O}\mathscr {V}\mathscr {I}\mathscr {D}$$ C O V I D - $${\textbf {19}}$$ 19 ...
Behnam Mohammadaliee, Vahid Roomi, Mohammad Esmael Samei   +2 more
doaj   +2 more sources

Implicit cubic B-spline scheme for the fractional Black-Scholes model with Caputo-Hadamard derivative [PDF]

Journal of Mahani Mathematical Research
In this study, we introduce a novel numerical scheme for solving the Black–Scholes equation endowed with a Caputo-Hadamard fractional time derivative. The temporal derivative is discretized via a finite-difference approach, ensuring both stability and ...
Roya Montazeri
doaj   +2 more sources

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   +2 more sources

A new generalized Hilfer-type fractional derivative with applications to space-time diffusion equation

Results in Physics, 2021
This paper is concerned to present and apply a new generalized fractional derivative, that is the Generalized Hilfer-type (GH) fractional derivative.
Tahir Ullah Khan, Muhammad Adil Khan, Yu-Ming Chu   +2 more
doaj   +1 more source