Results 51 to 60 of about 295 (201)
An in-depth examination of the fuzzy fractional cancer tumor model and its numerical solution by implicit finite difference method. [PDF]
PLoS OneThe cancer tumor model serves a s a crucial instrument for understanding the behavior of different cancer tumors. Researchers have employed fractional differential equations to describe these models. In the context of time fractional cancer tumor models,
Zureigat H +4 more
europepmc +2 more sources
ON THE MODEIFIED CAPUTO’S DERIVATIVE OPERATOR
, 2022 The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via applications of fractional calculus.
Jamal Salah
core +1 more source
Mathematics, 2021 The fractional generalization of the Ambartsumian delay equation with Caputo’s fractional derivative is considered. The Ambartsumian delay equation is very difficult to be solved neither in the case of ordinary derivatives nor in the case of fractional ...
Weam Alharbi, Snezhana Hristova
doaj +1 more source
DIFFERENTIAL EQUATIONS WITH TEMPERED Ψ-CAPUTO FRACTIONAL DERIVATIVE
Mathematical Modelling and Analysis, 2021 In this paper we define a new type of the fractional derivative, which we call tempered Ψ−Caputo fractional derivative. It is a generalization of the tempered Caputo fractional derivative and of the Ψ−Caputo fractional derivative. The Cauchy problem for fractional differential equations with this type of derivative is discussed and some existence and ...
Medveď, Milan, Brestovanská, Eva
openaire +4 more sources
, 2022 A new discrete energy dissipation law of the variable-step fractional BDF2 (second-order backward differentiation formula) scheme is established for time-fractional Cahn-Hilliard model with the Caputo's fractional derivative of order $\alpha\in(0,1 ...
Liu, Nan, Liao, Hong-lin, Zhao, Xuan
core +1 more source
Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order
Abstract and Applied Analysis, 2012 We investigate the existence of multiple positive solutions for a class of boundary value problems of nonlinear differential equation with Caputo’s fractional order derivative. The existence results are obtained by means of the Avery-Peterson fixed point
Yang Liu, Zhang Weiguo
doaj +1 more source
Fractal and Fractional, 2021 Research into the recent developments for solving fractional mathematical equations requires accurate and efficient numerical methods. Although many numerical methods based on Caputo’s fractional derivative have been proposed to solve fractional ...
Andang Sunarto +4 more
doaj +1 more source
Abstract differential equations and Caputo fractional derivative
Semigroup Forum, 2022 In this work I consider the abstract Cauchy problems with Caputo fractional time derivative of order $α\in(0,1]$, and discuss the continuity of the respective solutions regarding the parameter $α$. I also present a study about the continuity of the Mittag-Leffler families of operators (for $α\in(0,1]$), induced by sectorial operators.
openaire +3 more sources
Energies, 2022 Due to the complexity imposed by all the attributes of the fracture network of many naturally fractured reservoirs, it has been observed that fluid flow does not necessarily represent a normal diffusion, i.e., Darcy’s law.
Fernando Alcántara-López +4 more
doaj +1 more source
Time fractional IHCP with Caputo fractional derivatives
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source