Abstract The purpose of this paper is to analyze the conformally flat spherically symmetric fluid distribution with generalized polytropic equations state. We have developed two different framework for definitions polytropes. frameworks development modified Lane–Emden equation are presented both cases. condition used calculate anisotropy factor which transform considered systems into consistent...

The present paper is concerned with the asymptotic behavior of solutions to a class noncanonical third-order Emden–Fowler delay differential equations superlinear neutral term. Using Riccati-type transformation as well integral criteria, we establish some new sufficient conditions guaranteeing that every solution equation considered either oscillates or converges zero asymptotically. results ar...

Abstract In this paper, we study the oscillation of a class third-order Emden–Fowler delay dynamic equations with sublinear neutral terms on time scales. By using Riccati transformation and integral inequality, establish several new theorems to ensure that each solution equation oscillates or asymptotically approaches zero, results in literature are supplemented extended. Examples given illustr...

We analyze the effects of modified gravity on specific heats electrons and ions, Debye temperature, crystallization process, cooling mechanism in white dwarfs. derive Lane-Emden-Chandrasekhar equation relate it to process equations for Palatini $f(R)$ gravity. Moreover, first time literature, we show that model plays a crucial role not only mass size dwarf, but also affects their internal prope...

Sufficient conditions are given for a generalized Emden-Fowler equation with deviating argument to have nonoscillatory solutions with prescribed asymptotic behavior as t —> oo. The integrability condition on the nonlinear term requires only conditional convergence, supplemented by a condition on the order of convergence, which is automatically satisfied in some important special cases. The expo...

The density profiles and other quantities of physical interest for spherically symmetric systems are computed by assuming that a collisionless stellar gas may relax to the non-Gaussian power law distribution suggested by the nonex-tensive kinetic theory. There are two different classes of solutions. The first class behaves like a subset of the polytropic Lane-Emden spheres, whereas the second o...

In this article Differential Transformation Method (DTMs) is considered to find exact and approximate solutions of singular Initial Value Problems (IVPs) of the Lane-Emden type in second-order Ordinary Differential Equations (ODEs). The method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series so...