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Fractional viscoelastic models with Caputo generalized fractional derivative

Mathematical methods in the applied sciences, 2021
This article focuses on fractional Maxwell model of viscoelastic materials, which are a generalization of classic Maxwell model to noninteger order derivatives.
N. Bhangale   +2 more
semanticscholar   +1 more source

A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force

Mathematical methods in the applied sciences, 2020
This work suggested a new generalized fractional derivative which is producing different kinds of singular and nonsingular fractional derivatives based on different types of kernels.
Sunil Kumar   +4 more
semanticscholar   +1 more source

On the ψ-Hilfer fractional derivative

Communications in nonlinear science & numerical simulation, 2017
In this paper we introduce a new fractional derivative with respect to another function the so-called $\psi$-Hilfer fractional derivative. We discuss some properties and important results of the fractional calculus.
J. Sousa, E. C. Oliveira
semanticscholar   +1 more source

SIR epidemic model with Mittag–Leffler fractional derivative

, 2020
The SIR epidemic model with delay in the context of the fractional derivative with Mittag–Leffler kernel has been considered. The Atangana–Baleanu fractional derivative is a non-singular fractional derivative with Mittag–Leffler kernel. The positivity of
N. Sene
semanticscholar   +1 more source

Riesz Fractional Derivatives and Fractional Dimensional Space

International Journal of Theoretical Physics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muslih, Sami I., Agrawal, Om P.
openaire   +2 more sources

FRACTIONAL DERIVATIVES.

2023
The article provides a brief historical overview of the development of fractional computing, and considers special functions of mathematical analysis for working with non-integer derivatives. Caputo and Riemann-Liouville fractional derivatives are considered.
openaire   +1 more source

Analysis of fractional blood alcohol model with composite fractional derivative

, 2020
The present article deals with certain new and interesting features of fractional blood alcohol model associated with powerful Hilfer fractional operator.
Jagdev Singh
semanticscholar   +1 more source

Two compartmental fractional derivative model with fractional derivatives of different order

Communications in Nonlinear Science and Numerical Simulation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Popović, Jovan   +2 more
openaire   +1 more source

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative

, 2020
Mathematical biology is one of the interesting research area of applied mathematics that describes the accurate description of phenomena in biology and related health issues. The use of new mathematical tools and definitions in this area of research will
B. Ghanbari, Sunil Kumar, Ranbir Kumar
semanticscholar   +1 more source

Fractional Derivatives as Inverses

Canadian Journal of Mathematics, 1989
We write formally (C, p) indicating that the integral is summable (C, p), i.e.,if this limit exists. We note here that all integrals over a finite range are taken in the Lebesgue sense, and all inversions of such iterated integrals are justifiable by Fubini's Theorem.
openaire   +1 more source

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