We establish here that under some simple restrictions on the functional coefficient a (t) the
solution set of the fractional differential equation (0 D α tx)'+ a (t) x= 0 splits between …

We establish some properties of iterations of the remainder operator which assigns to any
convergent series the sequence of its remainders. Moreover, we introduce the spaces of …

In this paper we deal with the problem of asymptotic integration of a class of fractional
differential equations of the Caputo type. The left-hand side of such type of equation is the …

ASYMPTOTIC INTEGRATION OF SOME CLASSES OF FRACTIONAL DIFFERENTIAL
EQUATIONS 1. Introduction Page 1 ØÑÅ Ø Ñ Ø Ð ÈÙ Ð Ø ÓÒ× DOI: 10.2478/tmmp-2013-0010 …

In this article we study the asymptotic behavior of solutions to nonlinear second-order
differential equations having perturbations that involve Caputo's derivatives of several …

It is known that, under certain conditions, solutions of some ordinary differential equations of
first, second or even higher order are asymptotic to polynomials as time goes to infinity. We …

Let u and v denote respectively the principal and nonprincipal solutions of the second-order
linear equation (p (t) x′)′+ q (t) x= 0 defined on some half-line of the form [t∗,∞). It is …

We estimate the growth in time of the solutions to a class of nonlinear fractional differential
equations D 0+ α (x− x 0)= f (t, x) which includes D 0+ α (x− x 0)= H (t) x λ with λ∊(0, 1) for the …

This volume presents several important and recent contributions to the emerging field of
fractional differential equations in a self-contained manner. It deals with new results on …

We consider the discrete Sturm–Liouville type equation of the form Δ (rn Δ xn)= anf (x σ (n))+
b n. Assume s is a given nonpositive real number. We present sufficient conditions for the …