This is a concise review of the symmetries and conserved quantities of the constrained
mechanical systems. It deals with three kinds of symmetries: the Noether symmetry, the Lie …

Different approaches to construct first integrals for ordinary differential equations and
systems of ordinary differential equations are studied here. These approaches can be …

This paper presents the study of fractional Emden–Fowler (FEF) equations by utilizinga new
adequate procedure, specifically the q-homotopy analysis transform method (q-HATM). The …

This work investigates a class of susceptible–infected–susceptible (SIS) epidemic model
with reaction–diffusion–advection (RDA) by utilizing the Lie group methods. The Lie …

A static fourth-order Euler-Bernoulli beam equation, corresponding to a negative fractional
power law for the applied load, has been completely integrated in this paper. For this …

In this paper we have considered the Barenblatt–Gilman equation which models the
nonequilibrium countercurrent capillary impregnation. The equation of this model is a third …

Unlike previous viral diseases, COVID-19 has an “asymptomatic” group that has no
symptoms but can still spread the disease to others at the same rate as symptomatic patients …

In this paper we introduce a sort of Lane-Emden system derived from the Klein-Gordon-Fock
equation with central symmetry. Point symmetries are obtained and, since the system can be …

In this paper we carry out a complete Noether and Lie group classification of the radial form
of a coupled system of hyperbolic equations. From the Noether symmetries we establish the …

In this research paper, a novel numerical technique called Hermit-quasilinearization matrix
technique (HQLMT) is proposed to acquire the approximate solutions of fourth-order multi …