Stellar structure via truncated M-fractional Lane-Emden solutions.

ABSTRACT: The Lane-Emden equation (LEE) is essential for modeling the structure of self-gravitating, spherically symmetric polytropic stars in hydrostatic equilibrium. Astronomy commonly employs it to depict normal stars, white dwarfs, and other celestial systems. This paper presents a new formulation of the LEE using truncated M-fractional derivatives (TMD), providing a fractional generalization that expands the conventional comprehension of polytropic gas spheres. Using the accelerated power series approach, we find solutions to the TMD Lane-Emden equation and create polytropic models spanning a variety of polytropic indices. Our results give fundamental insights into stellar properties: whereas the initial zero of the fractional Lane-Emden function grows with decreasing fractional parameters, the

SUBMITTER: Nouh MI 

PROVIDER: S-EPMC11992051 | biostudies-literature | 2025 Apr

REPOSITORIES: biostudies-literature