Application of the multi-step differential transform method to solve a fractional human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells
Journal Title: Journal of Mathematics and Applications - Year 2015, Vol 38, Issue
Abstract
Human T-cell Lymphotropic Virus I (HTLV-I) infection of CD4+ T-Cells is one of the causes of health problems and continues to be one of the significant health challenges. In this article, a multi-step differential transform method is implemented to give approximate solutions of fractional model of HTLV-I infection of CD4+ T-cells. Numerical results are compared to those obtained by the fourth-order Runge-Kutta method in the case of integer-order derivatives. The suggested method is efficient as the Runge-Kutta method. Some plots are presented to show the reliability and simplicity of the method.
Authors and Affiliations
Mohammad Zurigat, Mousa Ababneh
Location of Zeros of Lacunary-type Polynomials
In this paper, we present some interesting results concerning the location of zeros of Lacunary-type of polynomial in the complex plane. By relaxing the hypothesis and putting less restrictive conditions on the coefficie...
Ergodic Properties of Random Infinite Products of Nonexpansive Mappings
In this paper we are concerned with the asymptotic behavior of random (unrestricted) infinite products of nonexpansive selfmappings of closed and convex subsets of a complete hyperbolic space. In contrast with our previo...
Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations
In the present paper we provide some existence results and Ulam's type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces, by applying the measure of noncompac...
On the zeros of an analytic function
Kuniyeda, Montel and Toya had shown that the polynomial p(z) = [formula]; a_0 ≠ 0, of degree n, does not vanish in [formula], where p > 1, q > 1, (1/p) + (1/q) = 1 and we had proved that p(z) does not vanish in [formula]...
On Generalised Quasi-ideals and Bi-ideals in Ternary Semigroups
In this paper, we introduce the notions of generalised quasi-ideals and generalised bi-ideals in a ternary semigroup. We also characterised these notions in terms of minimal quasi-ideals and minimal bi-ideals in a ternar...