The present paper deals with the effects of Ohmic dissipative Casson fluid flow over a stretching sheet in the presence of aligned magnetic field. The present phenomenon also includes the interaction of thermal radiation and velocity slip. The governing boundary layer equations are transformed into a set of ordinary differential equations using the similarity transformations. The dimensionless ...

The present paper is aimed to study an exact analysis of the free vibrations of a simply supported, homogeneous, transversely isotropic, cylindrical panel based on three-dimensional generalized theories of thermoelastic diffusion. After applying the displacement potential functions in the basic governing equations of generalized thermoelastic diffusion, it is noticed that a purely transverse mo...

This note reports on the recent advancements in the search for explicit representation , in classical special functions, of the solutions of the fourth-order linear ordinary differential equations named Bessel-type, Jacobi-type, Laguerre-type, Legendre-type.

In this paper we investigate the existence of solutions of a class of four-point boundary-value problems for fourth-order ordinary differential equations. Our analysis relies on a fixed point theorem due to Krasnoselskii and Zabreiko.

Painlevé and his school [1 – 3] studied the certain class of second order ordinary differential equations (ODEs) and found fifty canonical equations whose solutions have no movable critical points. This property is known as the Painlevé property. Distinguished among these fifty equations are six Painlevé equations, PI – PVI. The six Painlevé transcendents are regarded as nonlinear special funct...