Results 51 to 60 of about 602,498 (123)

On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative

Journal of Function Spaces, 2016
The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined.
Ahmed Alsaedi, Dumitru Baleanu, Sina Etemad, Shahram Rezapour   +3 more
doaj   +1 more source

A new Definition of Fractional Derivative and Fractional Integral [PDF]

Kirkuk Journal of Science, 2018
In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
doaj   +1 more source

Three‐dimensional hardening‐softening elastoplastic modeling of nondilatant rock‐like materials with nonorthogonal flow rule

Deep Underground Science and Engineering, EarlyView.
A novel three‐dimensional elastoplastic constitutive model is developed for nondilatant rock‐like materials under true‐triaxial stress conditions. A piecewise yield function captures the evolution of 3D yield surfaces during hardening‐softening processes, while a fractional‐order‐controlled nonorthogonal flow rule enables flexible regulation of ...
Jiacun Liu, Dongping Liu, Cifeng Cheng, Ying Xu, Kaiwen Xia   +4 more
wiley   +1 more source

Unpacking Corporate Twin Transformation Through Configurational Analysis

Strategic Change, EarlyView.
ABSTRACT This study focuses on the interplay of factors that influence the leveraging of effective corporate Twin Transformation (TT) which enables organizations to address burgeoning regulations, evolving customer needs, and rising awareness on sustainability.
Rutuja Lanjewar Haindl, Julia Stefanie Roppelt, Martin Leipziger, Dominik K. Kanbach, Sascha Kraus   +4 more
wiley   +1 more source

Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives

Advances in Difference Equations, 2018
The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in Jarad et al. (J. Nonlinear Sci. Appl. 10:2607–2619, 2017).
Y. Y. Gambo, R. Ameen, F. Jarad, T. Abdeljawad   +3 more
doaj   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives

Fractal and Fractional, 2019
This paper proposes novel analytical solutions of the mass-spring-damper systems described by certain generalized fractional derivatives. The Liouville−Caputo left generalized fractional derivative and the left generalized fractional derivative ...
Ndolane Sene, José Francisco Gómez Aguilar   +1 more
doaj   +1 more source

Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative

, 2022
In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform.
Sriramulu Sabarinathan, Samad Noeiaghdam, Vediyappan Govindan, Arunachalam Selvam   +3 more
core   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Caputo and Atangana-Baleanu-Caputo Fractional Derivative Applied to Garden Equation

, 2020
In this study, the garden equation which is a nonlinear partial differential equation is discussed. First, we will expand the garden equation to the Caputo derivative and Atangana-Baleanu fractional derivative in the sense of Caputo.
Mustafa Ali Dokuyucu
core   +1 more source