3 papers
q-bio.PE2024
A Review of Lagrangian Formalism in Biology: Recent Advances and Perspectives
Diana T. Pham, Zdzislaw E. Musielak
The Lagrangian formalism has attracted the attention of mathematicians and physicists for more than 250 years and has played significant roles in establishing modern theoretical ph…
math.GM2024
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…
q-bio.PE2023
Lagrangian Formalism in Biology: II. Non-Standard and Null Lagrangians and their Role in Population Dynamics
Diana T. Pham, Zdzislaw E. Musielak
Non-standard Lagrangians do not display any discernible energy-like terms, yet they give the same equations of motion as standard Lagrangians, which have easily identifiable energy…