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20022026
most citedVariational Problems with Fractional Derivatives: Euler-Lagrange Equations

166 citations

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13 papers · 1 filter

math-ph2021

Short-time Fourier transform of the pointwise product of two functions with application to the nonlinear Schrödinger equation

Nuno Costa Dias, João Nuno Prata, Nenad Teofanov

We show that the short-time Fourier transform of the pointwise product of two functions and can be written as a suitable product of the short-time Fourier transforms of …

math-ph2020★ 2 cited

Signaling to Relativistic Observers: An Einstein-Shannon-Riemann Encounter

Mladen Kovačević

A communication scenario is described involving a series of events triggered by a transmitter and observed by a receiver experiencing relativistic time dilation. The message select…

math-ph2018★ 2 cited

Bifurcation analysis of rotating axially compressed imperfect nano-rod

Teodor M. Atanacković, Ljubica Oparnica, Dušan Zorica

Static stability problem for axially compressed rotating nano-rod clamped at one and free at the other end is analyzed by the use of bifurcation theory. It is obtained that the pit…

math-ph2018★ 17 cited

On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures

Irene M. Gamba, Milana Pavić-Čolić

We solve the Cauchy problem for the full non-linear homogeneous Boltzmann system of equations describing multi-component monatomic gas mixtures for binary interactions in three dim…

math-ph2017★ 24 cited

Distributed order fractional constitutive stress-strain relation in wave propagation modeling

Sanja Konjik, Ljubica Oparnica, Dusan Zorica

Distributed order fractional model of viscoelastic body is used in order to describe wave propagation in infinite media. Existence and uniqueness of fundamental solution to the gen…

math-ph2016★ 2 cited

Polyatomic gases with dynamic pressure: Maximum entropy principle and shock structure

Milana Pavić-Čolić, Damir Madjarević, Srboljub Simić

This paper is concerned with the analysis of polyatomic gases within the framework of kinetic theory. Internal degrees of freedom are modeled using a single continuous variable cor…

math-ph2015★ 5 cited

Microlocal analysis of fractional wave equations

Günther Hörmann, Ljubica Oparnica, Dušan Zorica

We determine the wave front sets of solutions to two special cases of the Cauchy problem for the space-time fractional Zener wave equation, one being fractional in space, the other…

math-ph2014★ 18 cited

Space-time fractional Zener wave equation

Teodor M. Atanackovic, Marko Janev, Ljubica Oparnica +2

Space-time fractional Zener wave equation, describing viscoelastic materials obeying the time-fractional Zener model and the space-fractional strain measure, is derived and analyze…

math-ph2012★ 4 cited

On a initial value problem arising in mechanics

Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica

We study initial value problem for a system consisting of an integer order and distributed-order fractional differential equation describing forced oscillations of a body attached…

math-ph2012★ 25 cited

Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type

Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica

We study forced oscillations of a rod with a body attached to its free end so that the motion of a system is described by two sets of equations, one of integer and the other of the…

math-ph2012★ 15 cited

On a system of equations arising in viscoelasticity theory of fractional type

Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica

We study a system of partial differential equations with integer and fractional derivatives arising in the study of forced oscillatory motion of a viscoelastic rod. We propose a ne…

math-ph2010★ 76 cited

Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod

Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica

We study waves in a rod of finite length with a viscoelastic constitutive equation of fractional distributed-order type for the special choice of weight functions. Prescribing boun…

math-ph2010★ 4 cited

Evaluation of Watson-like Integrals for Hyper bcc Antiferromagnetic Lattice

S. M. Radosevic, M. R. Pantic, D. V. Kapor +2

Watson-like integrals for a d-dimensional bcc antiferromagnetic lattice I_d(η) and J_d(η) and another two similar integrals are evaluated in an exact way in terms of generalized hy…