output
20062023
most citedNew Derivatives on Fractal Subset of Real-line

217 citations

10 papers

hep-ph2023★ 18 cited

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…

cond-mat.stat-mech2023★ 28 cited

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…

cs.IR2022★ 3 cited

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…

physics.optics2020★ 1 cited

Eliminating excess phase accumulation in a continuous perturbed heterogeneous planar PhC

Shahram Moradi

In this paper, we propose an asymmetric distribution of a hexagonal lattice for achieving near-zero group velocity with negative group delay. This study reports the effect of the c…

math.CA2018★ 46 cited

Diffusion on middle- Cantor sets

Alireza Khalili Golmankhaneh, Arran Fernandez, Ali Khalili Golmankhaneh +1

In this paper, we study -calculus on generalized Cantor sets, which have self-similar properties and fractional dimensions that exceed their topological dimensions. Functions…

math.CA2017

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…

math.CA2015★ 217 cited

New Derivatives on Fractal Subset of Real-line

Alireza Khalili Golmankhaneh, Dumitru Baleanu

In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta f…

nlin.SI2014

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…

cs.NE2013★ 17 cited

Application of Artificial Neural Networks in Estimating Participation in Elections

Seyyed Reza Khaze, Mohammad Masdari, Sohrab Hojjatkhah

It is approved that artificial neural networks can be considerable effective in anticipating and analyzing flows in which traditional methods and statics are not able to solve. in…

nlin.CD2006

Chaotic Cryptographic Scheme Based on Composition Maps

S. Behnia, A. Akhshani, A. Akhavan +1

In recent years, a growing number of cryptosystems based on chaos have been proposed. But most of them encountered many problems such as small key space and weak security. In the p…