4 papers
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…
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…
Second -Order Fractal Differential Equations
Alireza Khalili Golmankhaneh, Donatella Bongiorno
In this research paper, we provide a concise overview of fractal calculus applied to fractal sets. We introduce and solve a second -order fractal differential equation with cons…
Solving and Applying Fractal Differential Equations: Exploring Fractal Calculus in Theory and Practice
Alireza Khalili Golmankhaneh, Donatella Bongiorno
In this paper, we delve into the fascinating realm of fractal calculus applied to fractal sets and fractal curves. Our study includes an exploration of the method analogues of the…