Some new results on sequence spaces with respect to non-Newtonian calculus [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Çakmak, Ahmet, Başar, Feyzi
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Bell-Type Inequalities from the Perspective of Non-Newtonian Calculus
Foundations of Science, 2022 AbstractA class of quantum probabilities is reformulated in terms of non-Newtonian calculus and projective arithmetic. The model generalizes spin-1/2 singlet state probabilities discussed in Czachor (Acta Physica Polonica:139 70–83, 2021) to arbitrary spins s. For $$s\rightarrow \infty$$ s →
Michał Piotr Piłat
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Unifying Aspects of Generalized Calculus
Entropy, 2020 Non-Newtonian calculus naturally unifies various ideas that have occurred over the years in the field of generalized thermostatistics, or in the borderland between classical and quantum information theory.
Marek Czachor
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The role of fractional derivatives and magnetic fields in shaping MHD newtonian flow behavior in injected diverging channels [PDF]
Scientific ReportsThis study comprehensively analyzes how fractional-order calculus and externally applied magnetic fields synergistically govern the hydrodynamic behavior of electrically conducting Newtonian fluids in divergent geometries by injecting flow through the ...
M. Tolami +2 more
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Modifying an approximation process using non-Newtonian calculus [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2020 In the present note we modify a linear positive Markov process of discrete type by using so called multiplicative calculus. In this framework, a convergence property and the error of approximation are established.
Agratini, Octavian, Karslı, Harun
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On Fixed Point Results for Generalized Contractions in Non-Newtonian Metric Spaces
Cumhuriyet Science Journal, 2022 TThe work of non-Newtonian calculus was begun in 1972. This calculus provides a different area to the classical one. Non-Newtonian metric concept was defined in 2002 by Basar and Cakmak. Then Binbaşıoğlu et al.
Demet Binbaşıoğlu
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A Bi-Geometric Fractional Model for the Treatment of Cancer Using Radiotherapy
Fractal and Fractional, 2022 Our study is based on the modification of a well-known predator-prey equation, or the Lotka–Volterra competition model. That is, a system of differential equations was established for the population of healthy and cancerous cells within the tumor tissue ...
Mohammad Momenzadeh +2 more
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Flow of a Self-Similar Non-Newtonian Fluid Using Fractal Dimensions
Fractal and Fractional, 2022 In this paper, the study of the fully developed flow of a self-similar (fractal) power-law fluid is presented. The rheological way of behaving of the fluid is modeled utilizing the Ostwald–de Waele relationship (covering shear-thinning, Newtonian and ...
Abdellah Bouchendouka +6 more
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On the reachability tube of non-Newtonian first-order linear differential equations
Intermaths, 2023 A problem of practical interest is the determination of the reachability sets of ordinary differential equations with an external perturbation, or with a control. This problem can be extended to non-Newtonian spaces generated by continuous and injective
Raúl Temoltzi-Ávila
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Alternative fractional derivative operator on non-newtonian calculus and its approaches
Nexo Revista Científica, 2021 Nowadays, study on fractional derivative and integral operators is one of the hot topics of mathematics and lots of investigations and studies make their attentions in this field. Most of these concerns raised from the vast application of these operators in study of phenomena’s models.
Sajedeh Norozpou, Mohammad Momenzadeh
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