Herein, we adduce, analyze, and come up with spectral collocation procedures to iron out a
specific class of nonlinear singular Lane–Emden (LE) equations with generalized Caputo …

In this paper, a reliable analytical solution for a class of the fractional Lane-Emden equations
is prepared. A new technique, the Laplace-residual power series, is employed to construct a …

This paper deals with constructing approximate solutions for Fokker-Planck equation of
fractional order subjected to appropriate initial conditions in the Caputo sense. This …

This work aims at a new semi-analytical method called the variational iteration transform
method for investigating fractional-order Emden–Fowler equations. The Shehu …

In this research, a hybrid numerical method combining cosine and sine (CAS) wavelets and
Green's function approach is created to acquire the arrangements of fractional Lane–Emden …

An approximate method based on orthonormal Bernoulli's polynomials together with their
operational matrices is applied for solving fractional order differential equations of Lane …

This work aims at a new semi-analytical technique called the Adomian decomposition
method for the analysis of time-fractional Emden–Fowler equations. The Laplace …

The study of dynamic behaviour of nonlinear models that arise in ocean engineering play a
vital role in our daily life. There are many examples of ocean water waves which are …

The analytical behavior of fractional differential equations is often puzzling and difficult to
predict under uncertainty. It is crucial to develop a robust, extensive, and extremely …

This paper introduces the Multistep Modified Reduced Differential Transform Method
(MMRDTM). It is applied to approximate the solution for Nonlinear Schrodinger Equations …