The tribological behavior of 100Cr6 steel spheres textured via Vickers microindentation is evaluated under lubricated sliding by varying both dimple size and density. Fine and dense textures significantly reduce friction across all lubrication regimes, while large dimples increase it.
Farideh Davoodi +3 more
wiley +1 more source
Dynamical behavior of water wave phenomena for the 3D fractional WBBM equations using rational sine-Gordon expansion method. [PDF]
Mamun AA, Lu C, Ananna SN, Uddin MM.
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Review on bile dynamics and microfluidic-based component detection: Advancing the understanding of bilestone pathogenesis in the biliary tract. [PDF]
Peng T +8 more
europepmc +1 more source
Viscoelastic characterization of the human osteosarcoma cancer cell line MG-63 using a fractional-order zener model through automated algorithm design and configuration. [PDF]
Duque-Gimenez GC +7 more
europepmc +1 more source
Simulation and symbolic thinking in equations representing change. [PDF]
Narwal A, Fyfe ER, Motz B.
europepmc +1 more source
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Statistical convergence on non-Newtonian calculus
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 ...
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Convex functions and some inequalities in terms of the Non-Newtonian Calculus [PDF]
Differentiation 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 ...
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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,
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