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Thermodynamically Constrained Averaging Theory: Why Bother? [PDF]
ARC Geophys ResWeigand TM, Gray WG, Miller CT.
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Structural Effects of Concrete Creep in a Prestressed Balanced Cantilever Bridge Based on Classical and Fractional Rheological Models. [PDF]
Materials (Basel)Nowak K, Oleszek R, Zbiciak A.
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Active Propelled Micro Robots in Drug Delivery for Urologic Diseases. [PDF]
Micromachines (Basel)Zhong C, Tang M, Cong Z.
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Statistical convergence on non-Newtonian calculus
The Journal of Analysis, 2023Statistical convergence has been considered by Zygmund and defined by Steinhaus and Fast. Then this concept has been characterized by Schoenberg. Since it has important applications in Fourier analysis, trigonometric series, Banach spaces, ergodic theory, number and measure theory, this concept has been handled by a new calculus known as non-Newtonian ...
Yilmazer, Mehmet Çağri +3 more
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An introduction to non‐Newtonian calculus
International Journal of Mathematical Education in Science and Technology, 1979In this paper we explain the construction of an arbitrary non‐Newtonian calculus from two given complete ordered fields. We then discuss some features of a few specific non‐Newtonian calculi. And finally we speculate as to the eventual use of the non‐Newtonian calculi as alternatives to the classical calculus of Newton and Leibniz.
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Some applications of extended calculus to non-Newtonian flow in pipes
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2021Fractional and non-Newtonian calculus are an extension of classical calculus, usually known for providing new mathematical tools useful in science, developed from alternative approaches. Among fractional calculus, Riemann-Liouville and Caputo fractional derivatives have been the most popular operators employed in spite of their complexity. In this work,
M. Letelier, J. Stockle
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Convex functions and some inequalities in terms of the Non-Newtonian Calculus
AIP Conference Proceedings, 2017Differentiation and integration are basic operations of calculus and analysis. Indeed, they are many versions of the subtraction and addition operations on numbers, respectively. From 1967 till 1970 Michael Grossman and Robert Katz [1] gave definitions of a new kind of derivative and integral, converting the roles of subtraction and addition into ...
Ünlüyol, Erdal +2 more
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