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[HTML][HTML] An overview of mathematical modelling in cancer research: fractional calculus as modelling tool
Cancer is a complex disease, responsible for a significant portion of global deaths. The
increasing prioritisation of know-why over know-how approaches in biological research has …
increasing prioritisation of know-why over know-how approaches in biological research has …
Modeling attractors of chaotic dynamical systems with fractal–fractional operators
In this paper, newly proposed differential and integral operators called the fractal–fractional
derivatives and integrals have been used to predict chaotic behavior of some attractors from …
derivatives and integrals have been used to predict chaotic behavior of some attractors from …
Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
A Atangana - Chaos, solitons & fractals, 2017 - Elsevier
New operators of differentiation have been introduced in this paper as convolution of power
law, exponential decay law, and generalized Mittag-Leffler law with fractal derivative. The …
law, exponential decay law, and generalized Mittag-Leffler law with fractal derivative. The …
Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation
This article possess lump, lump with one kink, lump with two kink, rogue wave and lump
interactions with periodic and kink solitons for the generalized unstable space time fractional …
interactions with periodic and kink solitons for the generalized unstable space time fractional …
A survey of models of ultraslow diffusion in heterogeneous materials
Ultraslow diffusion is characterized by a logarithmic growth of the mean squared
displacement (MSD) as a function of time. It occurs in complex arrangements of molecules …
displacement (MSD) as a function of time. It occurs in complex arrangements of molecules …
Applications of fractional calculus in computer vision: a survey
Fractional calculus is an abstract idea exploring interpretations of differentiation having non-
integer order. For a very long time, it was considered as a topic of mere theoretical interest …
integer order. For a very long time, it was considered as a topic of mere theoretical interest …
[ספר][B] Theory and numerical approximations of fractional integrals and derivatives
C Li, M Cai - 2019 - SIAM
Fractional calculus, which has two main features—singularity and nonlocality from its origin—
means integration and differentiation of any positive real order or even complex order. It has …
means integration and differentiation of any positive real order or even complex order. It has …
Mathematical model of survival of fractional calculus, critics and their impact: How singular is our world?
A Atangana - Advances in Difference Equations, 2021 - Springer
Fractional calculus as was predicted by Leibniz to be a paradox, has nowadays evolved to
become a centre of interest for many researchers from various backgrounds. As a result …
become a centre of interest for many researchers from various backgrounds. As a result …
[PDF][PDF] Advanced local fractional calculus and its applications
XJ Yang - 2012 - researchgate.net
This monograph is an invitation both to the interested scientists and the engineers. It
presents a thorough introduction to the recent results of local fractional calculus. It is also …
presents a thorough introduction to the recent results of local fractional calculus. It is also …
[ספר][B] Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models
F Mainardi - 2022 - books.google.com
Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …