Results 111 to 120 of about 545,475 (201)

On caputo modification of the hadamard fractional derivative

, 2020
54
openaire   +1 more source

On Some Inequalities with Higher Fractional Orders

Fractal and Fractional
The novelty herein pertains to a class of fractional differential equations involving the Hadamard fractional derivative of higher order. Our investigation encompasses the fractional integral operator of a logarithmic function.
Lakhdar Ragoub
doaj   +1 more source

On system of nonlinear fractional differential equations involving hadamard fractional derivative with nonlocal integral boundary conditions

, 2019
This article discuss the existence and uniqueness of solutions for a system of nonlinear fractional differential equations involving Hadamardfractional derivative with nonlocal mixed boundary conditions with multiple orders.
Awadalla M.M., Alfaqeih, S., Alfaqeih S., Öziş, Turgut, Öziş T., Awadalla, M   +5 more
core   +1 more source

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
Elif Demirci, Fatma Karakoç, Aysen Kütahyalıoglu   +2 more
openaire   +1 more source

A New Fractional Model for the Cancer Treatment by Radiotherapy Using the Hadamard Fractional Derivative

, 2019
In this article, a mathematical model for cancer treatment by radiotherapy is examined. The model is integrated into the Hadamard fractional derivative. First, we examine the existence of the solution. Then, the uniqueness of the solution is investigated.
M. Awadalla, Y .Y. Yameni, K. Abuassba
openaire   +1 more source

The Flow Analysis of Fiuids in Fractal Reservoir with the Fractional Derivative

, 2006
In this paper, fractional order derivative, fractal dimension and spectral dimension are introduced into the seepage flow mechanics to establish the flow models of fluids in fractal reservoirs with the fractional derivative.
Tian J, Tong DK, Tian, J (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China.   +2 more
core   +1 more source

Discrete Legendre polynomials method to solve the coupled nonlinear Caputo–Hadamard fractional Ginzburg–Landau equations

Results in Physics
This paper employs the Caputo–Hadamard derivative to create the coupled nonlinear fractional Ginzburg–Landau equations. An orthonormal version of the discrete Legendre polynomials is utilized to generate a numerical strategy for this system.
M.H. Heydari, D. Baleanu, M. Bayram
doaj   +1 more source

A Framework for Derivative Pricing in the Fractional Black-Scholes Market [PDF]

The aim of this paper is to develop a framework for evaluating derivatives if the underlying of the derivative contract is supposed to be driven by a fractional Brownian motion with Hurst parameter greater than 0.5.
Ciprian Necula
core  

Stability for Caputo–Hadamard Fractional Uncertain Differential Equation

Fractal and Fractional
This paper focuses on the Caputo-Hadamard fractional uncertain differential equations (CH-FUDEs) governed by Liu processes, which combine the Caputo–Hadamard fractional derivative with uncertain differential equations to describe dynamic systems ...
Shida Peng, Zhi Li, Jun Zhang, Yuncong Zhu, Liping Xu   +4 more
doaj   +1 more source

Fractional Diffusion Equations Solved via Log–Laplace Residual Power Series

Wasit Journal for Pure Sciences
In this paper, fractional diffusion equations of Caputo-Hadamard presented as interesting classes of fractional differential equations have not studied before.
Ali Zeki, Sameer Qasim Hasan
doaj   +1 more source