Conformable fractional isothermal gas spheres

The isothermal gas sphere is well known as a powerful tool to model many problems in astrophysics, physics, chemistry, and engineering. This singular differential equation has not an exact solution solved only by numerical approximate methods. In the present paper within framework of Newtonian hydrostatic equilibrium, we have developed general analytical formulations for fractional sphere. To obtain expressions mass, radius, density, besides sphere, used conformable calculus. Using series expansion method, obtained recurrences relation, which allows us determine coefficients. comparison with ones parameter α=1 good dimensionless up x ≃ 3.2, beyond this value, diverges. We applied combination Euler-Abel Pade techniques accelerate series, therefore accelerated converge desired value. analyzed some physical parameters typical neutron stars such mass-radius pressure ratio different models. found that current models had smaller volumes masses than both context modified Rienmann-Liouville derivatives integer one.