Results 21 to 30 of about 3,440,867 (293)
Quantum Reports, 2022 We investigate the solutions of a two-dimensional Schrödinger equation in the presence of geometric constraints, represented by a backbone structure with branches, by taking a position-dependent effective mass for each direction into account.
Ervin K. Lenzi +3 more
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Fractional Dynamics at Multiple Times [PDF]
Journal of Statistical Physics, 2012 A continuous time random walk (CTRW) imposes a random waiting time between random particle jumps. CTRW limit densities solve a fractional Fokker-Planck equation, but since the CTRW limit is not Markovian, this is not sufficient to characterize the process.
Meerschaert, Mark M., Straka, Peter
openaire +3 more sources
Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +2 more
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Quantum Maps with Memory from Generalized Lindblad Equation
Entropy, 2021 In this paper, we proposed the exactly solvable model of non-Markovian dynamics of open quantum systems. This model describes open quantum systems with memory and periodic sequence of kicks by environment. To describe these systems, the Lindblad equation
Vasily E. Tarasov
doaj +1 more source
Fractional Dynamics in Soccer Leagues [PDF]
Symmetry, 2020 This paper addresses the dynamics of four European soccer teams over the season 2018–2019. The modeling perspective adopts the concepts of fractional calculus and power law. The proposed model embeds implicitly details such as the behavior of players and coaches, strategical and tactical maneuvers during the matches, errors of referees and a multitude ...
António M. Lopes 0001 +1 more
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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
doaj +1 more source
Rules for Fractional-Dynamic Generalizations: Difficulties of Constructing Fractional Dynamic Models
Mathematics, 2019 This article is a review of problems and difficulties arising in the construction of fractional-dynamic analogs of standard models by using fractional calculus.
Vasily E. Tarasov
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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
doaj +1 more source
A class of CTRWs: Compound fractional poisson processes [PDF]
, 2011 This chapter is an attempt to present a mathematical theory of compound fractional Poisson processes. It begins with the characterization of a well-known Lévy process: The compound Poisson process.
Enrico Scalas +4 more
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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
doaj +1 more source