Results 181 to 190 of about 3,215 (223)

Existence and stability of time-fractional Keller-Segel-Navier-Stokes system with Poisson jumps. [PDF]

Sci Rep
Divyabala K, Durga N.
europepmc   +1 more source

Utilizing fractional-order operator to Alzheimer's disease dynamics. [PDF]

Sci Rep
Nisar KS, Farman M.
europepmc   +1 more source

Mathematical analysis and simulation of an ABC fractional Zika virus model with natural transform and stability assessment. [PDF]

Sci Prog
Mariantony Michael J, Gnanaprakasam AJ, Alkhalaf S, Boulaaras S, Alharbi A.   +4 more
europepmc   +1 more source

Risk of Developing Low-Level Viral Rebound Among People With HIV Receiving 2- or 3-Drug Regimens: A Case-Control Study Nested in the ICONA Cohort. [PDF]

Open Forum Infect Dis
Vergori A, Cervo A, Roen A, Gagliardini R, Clemente T, Mazzotta V, Quiros-Roldan E, Maggiolo F, Lo Caputo S, Mussini C, Antinori A, Cozzi-Lepri A, ICONA Foundation Study .   +12 more
europepmc   +1 more source

A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs [PDF]

SIAM Journal on Mathematical Analysis, 2018
We extend in this paper the definition of Caputo derivatives of order in $(0,1)$ to a certain class of locally integrable functions using a convolution group. Our strategy is to define a fractional calculus for a certain class of distributions using the convolution group.
Lei Li, Jian-Guo Liu
exaly   +4 more sources

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Generalized fractional viscothermoelastic nanobeam under the classical Caputo and the new Caputo–Fabrizio definitions of fractional derivatives

Waves in Random and Complex Media, 2021
In this paper, we introduce a new unified formula that governs two different definitions of fractional derivative; the classical Caputo definition and Caputo–Fabrizio's new definition.
Hamdy M. Youssef, Alaa A. El-Bary
openaire   +1 more source

Solutions of Nonlocal Schrödinger Equation via the Caputo-Fabrizio Definition for Some Quantum Systems

Reports on Mathematical Physics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed Tayeb Meftah
exaly   +3 more sources

Comments on the description and initialization of fractional partial differential equations using Riemann–Liouville’s and Caputo’s definitions

Journal of Computational and Applied Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christophe Farges, Jocelyn Sabatier
exaly   +3 more sources

Equivalent definitions of Caputo derivatives and applications to subdiffusion equations

Dynamics of Partial Differential Equations, 2020
An equivalent definition of the fractional Caputo derivative $mathbf{D}_{t}^{ u}g$, for $ uin(0,1)$, is found, within suitable assumptions on $g$. Some applications to the fractional calculus and to the theory of fractional partial differential equations are then discussed.
Mykola Krasnoschok, Vittorino Pata, Sergii V. Siryk, Nataliya Vasylyeva   +3 more
openaire   +1 more source

Comparative Study of Riemann–Liouville and Caputo Derivative Definitions in Time-Domain Analysis of Fractional-Order Capacitor

IEEE Transactions on Circuits and Systems II: Express Briefs, 2020
The fractional-order capacitor applied in power electronic converters, filters or other circuits has become a hot spot due to benefits, such as high-performance and flexibility. Two typical kinds of fractional-order derivative definitions, Riemann-Liouville (RL) or Caputo derivatives are popularly used to analyze the characteristics of fractional-order
Bo Zhang, Yanwei Jiang
exaly   +2 more sources