217 citations · 352 across the 24 of their papers we have counts for
24 papers
Non-homogeneous Partial Differential Wave Equation for the Description of Correlated Pair States in the Microworld
Elmira Isayeva, Alireza Khalili Golmankhaneh
In this paper, a new non-homogeneous linear second-order partial differential equation (PDE) is proposed and investigated, designed to describe the dynamics of correlated pair obje…
Exact Solutions for Classes of Nonlinear Differential Equations on Fractal Supports
Donatella Bongiornoa, Alireza Khalili Golmankhanehb
In this paper, the exact solutions of certain non-linear differential equations defined on a fractal subset of the real line are presented. Particular attention is paid to the Ricc…
The Fractal Lie Derivative: Theory and Applications
Alireza Khalili Golmankhaneh, Elham Hashemzadeh, Carlo Cattani +2
This paper presents a new Lie theoretic approach to fractal calculus, which in turn yields such new results as a Fractal Noether's Theorem, a setting for fractal differential forms…
Fractal Calculus to Derive Fractal Frenet Equations for Fractal Curves
Alireza Khalili Golmankhaneh, Palle E. T. Jørgensen, Dimiter Prodanov
This paper introduces the concept of Fractal Frenet equations, a set of differential equations used to describe the behavior of vectors along fractal curves. The study explores the…
Higher Order Fractal Differential Equations
Alireza Khalili Golmankhaneh, Claude Depollier, Diana Pham
This paper provides a summary of the fractal calculus framework. It presents higher-order homogeneous and nonhomogeneous linear fractal differential equations with -order. Solut…
On Homogeneous System of Fractal Differential Equations
Alireza Khalili Golmankhaneh, Donatella Bongiorno
In this paper, a homogeneous system of n -order linear fractal differential equation is defined and the set of its fundamental solutions through the corresponding Wronskian matr…