Results 21 to 30 of about 278,072 (286)
Review of Some Promising Fractional Physical Models [PDF]
, 2015 Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
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Aspects of Quantum Statistical Mechanics: Fractional and Tsallis Approaches
Mathematics, 2023 We investigated two different approaches, which can be used to extend the standard quantum statistical mechanics. One is based on fractional calculus, and the other considers the extension of the concept of entropy, i.e., the Tsallis statistics.
Ervin Kaminski Lenzi +2 more
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Fractal and Fractional, 2023 Infectious diseases can have a significant economic impact, both in terms of healthcare costs and lost productivity. This can be particularly significant in developing countries, where infectious diseases are more prevalent, and healthcare systems may be
Sultan Alyobi, Rashid Jan
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Mathematics, 2020 In this paper, we consider a nonlinear fractional differential equation. This equation takes the form of the Bernoulli differential equation, where we use the Caputo fractional derivative of non-integer order instead of the first-order derivative.
Vasily E. Tarasov
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Integral Equations of Non-Integer Orders and Discrete Maps with Memory
Mathematics, 2021 In this paper, we use integral equations of non-integer orders to derive discrete maps with memory. Note that discrete maps with memory were not previously derived from fractional integral equations of non-integer orders.
Vasily E. Tarasov
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Fractional-time quantum dynamics [PDF]
Physical Review E, 2009 Application of the fractional calculus to quantum processes is presented. In particular, the quantum dynamics is considered in the framework of the fractional time Schr dinger equation (SE), which differs from the standard SE by the fractional time derivative: $\frac{\prt}{\prt t}\to \frac{\prt^ }{\prt t^ }$.
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On History of Mathematical Economics: Application of Fractional Calculus
Mathematics, 2019 Modern economics was born in the Marginal revolution and the Keynesian revolution. These revolutions led to the emergence of fundamental concepts and methods in economic theory, which allow the use of differential and integral calculus to describe ...
Vasily E. Tarasov
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, 2015 The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent results in mathematical physics, engineering applications,
Srivastava, Hari M. +2 more
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Discrete q-Exponential Limit Order Cancellation Time Distribution
Fractal and Fractional, 2023 Modeling financial markets based on empirical data poses challenges in selecting the most appropriate models. Despite the abundance of empirical data available, researchers often face difficulties in identifying the best fitting model.
Vygintas Gontis
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Analysis of Fractional Dynamic Systems [PDF]
The Scientific World Journal, 2014 Due to the extensive applications of fractional differential equations (FDEs) in engineering and science, research in this area has grown significantly. Fractional Dynamic Systems are described by FDEs, and this special issue consists of 8 original articles covering various aspects of FDEs and their applications written by prominent researchers in the ...
Fawang Liu +4 more
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