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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 +4 more
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In this note we analyze a model for a unidirectional unsteady flow of a viscous incompressible fluid with time dependent viscosity. A possible way to take into account such behaviour is to introduce a memory formalism, including thus the time dependent ...
Garra, Roberto, Polito, Federico
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Incompressible Stars and Fractional Derivatives [PDF]
Fractional calculus is an effective tool in incorporating the effects of non-locality and memory into physical models. In this regard, successful applications exist rang- ing from signal processing to anomalous diffusion and quantum mechanics.
Bayin, S. S., Krisch, J. P.
core
Generalized Statistics Variational Perturbation Approximation using q-Deformed Calculus
A principled framework to generalize variational perturbation approximations (VPA's) formulated within the ambit of the nonadditive statistics of Tsallis statistics, is introduced.
A. Plastino +25 more
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On fractional integral operator over non-Newtonian calculus
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 +2 more
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Fractional Modeling of Non-Newtonian Casson Fluid between Two Parallel Plates
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 +2 more
doaj +1 more source
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 +2 more
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The Missing Mass Problem as a Manifestation of GR Contextuality
In Newtonian gravity, mass is an intrinsic property of matter while in general relativity (GR), mass is a contextual property of matter, i.e., matter can simultaneously possess two different values of mass when it is responsible for two different ...
McDevitt, Timothy +3 more
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Homotopic fractional analysis of thin film flow of Oldroyd 6-Constant fluid
The analysis of Oldroyd fluids; a class of Maxwell fluids which also bears Newtonian properties under some conditions, has important implications for different scientific and engineering/industrial applications.
Farnaz +5 more
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Albert Einstein's 1916 Review Article on General Relativity [PDF]
The first comprehensive overview of the final version of the general theory of relativity was published by Einstein in 1916 after several expositions of preliminary versions and latest revisions of the theory in November 1915.
Sauer, Tilman
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