Results 31 to 40 of about 5,356 (162)

Asymptotically periodic behavior of solutions to fractional non-instantaneous impulsive semilinear differential inclusions with sectorial operators

open access: yesAdvances in Difference Equations, 2021
In this paper, we prove two results concerning the existence of S-asymptotically ω-periodic solutions for non-instantaneous impulsive semilinear differential inclusions of order 1 < α < 2 ...
Zainab Alsheekhhussain   +2 more
doaj   +1 more source

An analysis of fractional piecewise derivative models of dengue transmission using deep neural network

open access: yesJournal of Taibah University for Science
This manuscript investigates a fractional piecewise dengue transmission model using singular and non-singular kernels. The existence results and uniqueness of the solution are established by using the approach of fixed point and in the framework of ...
Mati ur Rahman   +4 more
doaj   +1 more source

On the chaotic systems of attraction with fractional operators in a novel Lorenz system

open access: yesResults in Control and Optimization
In this research, a novel variant model of the classical Lorenz system is proposed by reformulating both the classical and fractional-order Lorenz systems through a new framework based on piecewise fractional derivatives.
Atul Kumar   +4 more
doaj   +1 more source

A numerical approach for a category of piecewise fractional variational problems depending on an indefinite integral

open access: yesAlexandria Engineering Journal
The primary focus of this study is to introduce some kinds of piecewise fractional derivatives (PFDs). These derivatives are defined using fractional derivatives in both the Atangana–Baleanu and Caputo senses.
M.H. Heydari, D. Baleanu
doaj   +1 more source

Modelling of the tumor growth under oncolytic virotherapy with piecewise differential operators: The effects of combinations of specialist viruses [PDF]

open access: yesMathematics and Computational Sciences
This study proposes to modify a mathematical model of virotherapy inducing cytokine IL-12 and co-stimulatory molecule 4-1BB ligand release with the concept of piecewise derivatives with the aim of analyzing the effects of treatment combinations on tumor ...
Seda Igret Araz, Elif Denk
doaj   +1 more source

Fractional Calculus of Piecewise Continuous Functions

open access: yesFractal and Fractional
The fractional derivative computation of piecewise continuous functions is treated with generality. It is shown why some applications give incorrect results and why Caputo derivative give strange results. Some examples are described.
Manuel Duarte Ortigueira
doaj   +1 more source

Reachability analysis of dynamical systems having piecewise-constant derivatives

open access: yesTheoretical Computer Science, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asarin, Eugene   +2 more
openaire   +1 more source

Comparative Numerical Study of Spline-Based Numerical Techniques for Time Fractional Cattaneo Equation in the Sense of Caputo–Fabrizio

open access: yesFractal and Fractional, 2022
This study focuses on numerically addressing the time fractional Cattaneo equation involving Caputo–Fabrizio derivative using spline-based numerical techniques.
Muhammad Yaseen   +3 more
doaj   +1 more source

Non‐linear activation function approximation using a REMEZ algorithm

open access: yesIET Circuits, Devices and Systems, 2021
Here a more accurate piecewise approximation (PWA) scheme for non‐linear activation function is proposed. It utilizes a precision‐controlled recursive algorithm to predict a sub‐range; after that, the REMEZ algorithm is used to find the corresponding ...
Samba Raju Chiluveru   +2 more
doaj   +1 more source

Prostate cancer survival estimates: An application with piecewise hazard function derivation

open access: yesSouth Asian Journal of Cancer, 2019
Abstract Background: The hazard function is defined as time-dependent. However, it is an overlooked area of research about the estimation of hazard function within the frame of time. The possible explanation could be carried by estimating function through the changes of time points.
Atanu Bhattacharjee   +2 more
openaire   +3 more sources

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