Results 31 to 40 of about 659 (227)

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
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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
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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
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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
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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
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Free convection channel flow of couple stress casson fluid: A fractional model using Fourier’s and Fick’s laws

Frontiers in Physics, 2023
Fractional calculus is a branch of mathematics that develops from the usual definitions of calculus integral and derivative operators, just as fractional exponents emerge from integer exponents.
Shafiq Ahmad, Sami Ul Haq, Farhad Ali, Ilyas Khan, Sayed M. Eldin   +4 more
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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
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Fractional Modeling of Non-Newtonian Casson Fluid between Two Parallel Plates

Journal of Mathematics, 2023
In this manuscript, fractional modeling of non-Newtonian Casson fluid squeezed between two parallel plates is performed under the influence of magneto-hydro-dynamic and Darcian effects.
Mubashir Qayyum, Sidra Afzal, Efaza Ahmad   +2 more
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Finite Difference Modeling of Time Fractal Impact on Unsteady Magneto-hydrodynamic Darcy–Forchheimer Flow in Non-Newtonian Nanofluids with the q-Derivative

Fractal and Fractional, 2023
This contribution addresses a fractal numerical scheme that can be employed for handling fractal time-dependent parabolic equations. The numerical scheme presented in this contribution can be used to discretize integer order and fractal derivatives in a ...
Amani S. Baazeem, Yasir Nawaz, Muhammad Shoaib Arif   +2 more
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On fractional integral operator over non-Newtonian calculus

, 2023
The definition of a non-Newtonian calculus is based on the homeomorphism which customary denoted by y = ?(x). In the mean of this function, elementary algebraic operations can be modified and we reach to the world of new calculus that is called a Non-Newtonian calculus.
Momenzadeh, Mohammad, Norozpour, Sajedeh, Bashirov, Agamirza E.   +2 more
openaire   +1 more source