In this paper, we investigate the problem of existence and nonexistence of positive solutions for the nonlinear boundary value problem: ( ) ( ) ( ( )) 0, 0 1, u t a t f u t t Î» + = â‰¤ â‰¤ . 0 ) 1 ( ' 'â€¦ (More)

In this paper, we investigate the problem of existence and nonexistence of positive solutions for the nonlinear boundary value problem: u(t) + Î»a(t)f(u(t)) = 0, 0 < t < 1, satisfying three kinds ofâ€¦ (More)

This paper deals with the fractional-order SIRC model associated with the evolution of influenza A disease in human population. Qualitative dynamics of the model is determined by the basicâ€¦ (More)

In this paper, we present a general model of the classical Navierâ€“Stokes equations. With the help of Laplace, Fourier Sine transforms, finite Fourier Sine transforms, and finite Hankel transforms. Anâ€¦ (More)

The one-dimensional q-differential transformation was introduced in [8] for solving the ordinary qdifferential equations. Here, we present the definition and operation of the two-dimensionalâ€¦ (More)

In this paper we investigate the existence of positive solutions of the q-difference equation âˆ’D2 qu(t) = a(t) f(u(t)) with some boundary conditions by applying a fixed point theorem in cones. 1.â€¦ (More)

and Applied Analysis 3 Definition 2.2 see 18 . The standard Riemann-Liouville fractional derivative of order Î± > 0 of a continuous function y : a,âˆž â†’ R is given by D a y t 1 Î“ n âˆ’ Î± ( d dt )n âˆ« t a tâ€¦ (More)