The fractional order differential equation u′(t) = Au(t) + γD t Au(t) + f(t), t > 0, u(0) = a ∈ X is studied, whereA is an operator generating a strongly continuous one-parameter semigroup on a Banach space X , D t is the Riemann–Liouville fractional derivative of order α ∈ (0, 1), γ > 0 and f is an X-valued function. Equations of this type appear in the modeling of unidirectional viscoelastic ...

In the present article, we define a new family for holomorphic functions (so-called Bazilevic-Sakaguchi type functions) and determinate strong differential subordination superordination results these by investigating certain suitable classes of admissible functions. These are applied to obtain sandwich results.

The goal of this paper is to explore the role of clause subordination in discourse structure. Through the study of the French subordinating conjunction avant que (English before) and its interaction with discourse context, I will attempt to show that clause subordination can affect temporal structure and also discourse structure, by conveying either subordination or coordination between discour...

Let p and q be analytic functions in the unit disc E = {z : |z| < 1}, with p(0) = q(0) = 1. Assume that α and δ are real numbers such that 0 < δ ≤ 1, α+ δ ≥ 0. Let β and γ be complex numbers with β 6= 0. In the present paper, we investigate the differential subordination (p(z)) [ p (z) + zp′(z) βp(z) + γ ]δ ≺ (q(z)) [ q(z) + zq′(z) βq(z) + γ ]δ , z ∈ E, and as applications, find several suffici...

The purpose of this study was to examine the reliability and validity of the Masculine Subordination-to-women Stress Scale (MSS) in the rural Bangladeshi population. The scale was validated using a sample of 342 Bangladeshi married men from 5 northwest villages of the country. Exploratory factor analysis revealed a single-factorial structure of the scale: masculine subordination-to-women stress...

Carlson and Shaffer [B.C. Carlson, D.B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984) 737–745] have introduced a linear operator associated with the Gaussian hypergeometric function which has been generalized by Dziok and Srivastava [J. Dziok, H.M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl....