Results 31 to 40 of about 19,440 (140)

Application of Atangana-Baleanu Fractional Derivative to ‎Carbon Nanotubes Based Non-Newtonian Nanofluid: ‎Applications in Nanotechnology [PDF]

Journal of Applied and Computational Mechanics, 2020
Single and multi-walled carbon nanotubes (SWCNTs & MWCNTs) comprise a large group of nanometer-thin hollow fibrous nanomaterials having physico-chemical characteristics like atomic configuration, length to diameter ratios, defects, impurities and ...
Kashif Ali Abro, Muzaffar Hussain Laghari, J.F. Gómez-Aguilar   +2 more
doaj   +1 more source

Discrete and Continuous Multiplicative Differential Equations and Applications in Solving Non−Linear Difference and Differential Equations [PDF]

Sahand Communications in Mathematical Analysis
Boundary and initial value problems,  including nonlinear difference equations and nonlinear differential equations, are the mathematical models of many physics and engineering problems and natural phenomena.
Mohammad Jahanshahi, Nihan Aliev, Hamid Dehghani   +2 more
doaj   +1 more source

Numerical exploration of thin film flow of MHD pseudo-plastic fluid in fractional space: Utilization of fractional calculus approach

Open Physics, 2021
In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus.
Qayyum Mubashir, Ismail Farnaz, Sohail Muhammad, Imran Naveed, Askar Sameh, Park Choonkil   +5 more
doaj   +1 more source

The Fractal Tapestry of Life: III Multifractals Entail the Fractional Calculus

Fractal and Fractional, 2022
This is the third essay advocating the use the (non-integer) fractional calculus (FC) to capture the dynamics of complex networks in the twilight of the Newtonian era. Herein, the focus is on drawing a distinction between networks described by monfractal
Bruce J. West
doaj   +1 more source

Non-Newtonian Pell and Pell-Lucas numbers

Journal of New Results in Science
In the present paper, we introduce a new type of Pell and Pell-Lucas numbers in terms of non-Newtonian calculus, which we call non-Newtonian Pell and non-Newtonian Pell-Lucas numbers, respectively.
Tülay Yağmur
doaj   +1 more source

Sir Isaac Newton Stranger in a Strange Land

Entropy, 2020
The theme of this essay is that the time of dominance of Newton’s world view in science is drawing to a close. The harbinger of its demise was the work of Poincaré on the three-body problem and its culmination into what is now called chaos theory.
Bruce J. West
doaj   +1 more source

Modified Regge calculus as an explanation of dark energy

, 2012
Using Regge calculus, we construct a Regge differential equation for the time evolution of the scale factor $a(t)$ in the Einstein-de Sitter cosmology model (EdS).
McDevitt, T. J., Silberstein, M., Stuckey, W. M.   +2 more
core   +1 more source

MOND-like Fractional Laplacian Theory

, 2020
I provide a derivation of some characteristic effects of Milgrom's modified Newtonian dynamics (MOND) from a fractional version of Newton's theory based on the fractional Poisson equation.
Giusti, Andrea
core   +1 more source

An introduction to non-smooth convex analysis via multiplicative derivative

Journal of Taibah University for Science, 2019
In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
doaj   +1 more source

Certain Sequence Spaces over the Non-Newtonian Complex Field

Abstract and Applied Analysis, 2013
It is known from functional analysis that in classical calculus, the sets , , , and of all bounded, convergent, null and -absolutely summable sequences are Banach spaces with their natural norms and they are complete according to the metric reduced ...
Sebiha Tekin, Feyzi Başar
doaj   +1 more source