28 citations
5 papers
Dynamics in fractal spaces
Eugenio Megias, Alireza K. Golmankhaneh, Airton Deppman
This study investigates the interconnections between the traditional Fokker-Planck Equation (FPE) and its fractal counterpart (FFPE), utilizing fractal derivatives. By examining th…
From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
Airton Deppman, Alireza K. Golmankhaneh, Eugenio Megias +1
In this work, we study the formal connections between the non-linear Fokker-Planck Equation associated with the non-additive entropy and the Boltzmann Equation with the non-additiv…
Graph-Based Recommendation System Enhanced with Community Detection
Zeinab Shokrzadeh, Mohammad-Reza Feizi-Derakhshi, Mohammad-Ali Balafar +1
Many researchers have used tag information to improve the performance of recommendation techniques in recommender systems. Examining the tags of users will help to get their intere…
Non-local Integrals and Derivatives on Fractal Sets with Applications
Alireza K. Golmankhaneh, Dumitru Baleanu
In this paper, we discussed the non-local derivative on the fractal Cantor set. The scaling properties are given for both local and non-local fractal derivatives. The local and non…
Trivially Related Lax Pairs Of The Sawada-Kotera Equation
Daryoush Talati
We show that a recently introduced Lax pair of the Sawada-Kotera equation is not a new one but is trivially related to the known old Lax pair. Using the so-called trivial compositi…