This work aims at a new semi-analytical technique called the Adomian decomposition method for analysis of time-fractional Emden–Fowler equations. The Laplace transformation and iterative are implemented to obtain result given models. suggested has edge over other methods, as it does not need extra materials calculations. presented validity is demonstrated by examining four mathematical Due stra...

The study of the symmetric properties differential equations is essential for identifying effective methods solving them. In this paper, we examine oscillatory behavior solutions Emden–Fowler-type mixed non-linear neutral with both canonical and non-canonical operators. By utilizing integral conditions averaging method, present new sufficient to ensure that all are oscillatory. Our results enha...

Abstract This paper examines the general formalism and applications of isotropic as well anisotropic polytropic stars in curvature-matter coupled gravity. For this purpose, we consider static spherical Schwarzschild spacetimes interior exterior regions, respectively. We use two equations state to obtain physically viable solutions field equations. The hydrostatic equilibrium Lane-Emden are deve...

This research article introduces an efficient method for integrating Lane–Emden–Fowler equations of second-order singular initial value problems (SIVPs) using a pair hybrid block methods with variable step-size mode. The pairs optimized Nyström technique set formulas applied at the step to circumvent singularity beginning interval. formulation is implemented embedded-type approach, resulting in...

The homotopy analysis method [1, 2], is developed to search the accurate asymptotic solutions of nonlinear problems. This technique has been successfully applied to many nonlinear problems such as the viscous flows of non-Newtonian fluids [3, 4], the Korteweg-de Vries-type equations [5, 6], nonlinear heat transfer [7, 8], finance problems [9, 10], Riemann problems related to nonlinear shallow w...