Results 71 to 80 of about 1,369,996 (356)
Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative
, 2021 This research work investigates some theoretical and semi-analytical results for the mathematical model of tuberculosis disease via derivative due to Caputo and Fabrizio.
S. Ahmad, R. Ullah, D. Baleanu
semanticscholar +1 more source
Discrete and Continuous Dynamical Systems. Series A, 2021 A recently proposed numerical scheme for solving nonlinear ordinary differential equations with integer and non-integer Liouville-Caputo derivative is applied to three systems with chaotic solutions.
K. Owolabi +2 more
semanticscholar +1 more source
On the sectorial property of the Caputo derivative operator
Applied Mathematics Letters, 2015 In this note, we establish the sectorial property of the Caputo fractional derivative operator of order α∈(1,2) with a zero Dirichlet boundary condition.
Ito, K, Jin, B, Takeuchi, T
openaire +3 more sources
A Nonlinear Implicit Fractional Equation with Caputo Derivative [PDF]
Journal of Mathematics, 2021 In this paper, we study a nonlinear implicit differential equation with initial conditions. The considered problem involves the fractional Caputo derivatives under some conditions on the order. We prove an existence and uniqueness analytic result by application of Banach principle.
openaire +2 more sources
A Comprehensive Mathematical Model for SARS-CoV-2 in Caputo Derivative
Fractal and Fractional, 2021 In the present work, we study the COVID-19 infection through a new mathematical model using the Caputo derivative. The model has all the possible interactions that are responsible for the spread of disease in the community.
Yudi Gu +3 more
semanticscholar +1 more source
Numerical approximations for a fully fractional Allen-Cahn equation
, 2020 A finite element scheme for an entirely fractional Allen-Cahn equation with non-smooth initial data is introduced and analyzed. In the proposed nonlocal model, the Caputo fractional in-time derivative and the fractional Laplacian replace the standard ...
Acosta, Gabriel, Bersetche, Francisco
core +1 more source
Maximum Principle and Its Application for the Time-Fractional Diffusion Equations [PDF]
, 2011 MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion ...
Luchko, Yury
core +1 more source
Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator
Frontiers of PhysicsIn this study, we employ the effective iterative method to address the fractional Wu-Zhang Equation within the framework of the Caputo Derivative.
H. Yasmin +4 more
semanticscholar +1 more source
Prabhakar-like fractional viscoelasticity
, 2017 The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwell model, in which we replace the Caputo derivative with the Prabhakar one.
Colombaro, Ivano, Giusti, Andrea
core +1 more source
Caputo–Hadamard Fractional Derivatives of Variable Order [PDF]
Numerical Functional Analysis and Optimization, 2016 In this paper we present three types of Caputo-Hadamard derivatives of variable fractional order, and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained, and an estimation for the error is given.
openaire +4 more sources