Fundamental solutions of space-time fractional diffusion equations can be interpret as probability density functions. This fact creates a strong link with stochastic processes. Recasting probability density functions in terms of subordination laws has emerged to be important to built up stochastic processes. In particular, for diffusion processes, subordination can be understood as a diffusive ...

This paper investigates a new representation format for dynamic discourse in DRT, where contextual dynamics is modeled in terms of update conditions. This new representation format is motivated by the study of context dependence in modal constructions, in particular by serious problems besetting earlier approaches to modality and modal subordination in DRT. We present an alternative DRT analysi...

In this paper we study convolution properties of spirallike multivalent functions defined by using a differential operator and higher order derivatives. Using product relations determine necessary sufficient conditions for to belong these classes, our results generalized many previous obtained different authors. We obtain inclusion new subclasses the Dziok-Srivatava operator. Moreover, result c...

Abstract In the present paper, by using concept of convolution and q -calculus, we define a certain -derivative (or -difference) operator for analytic multivalent p -valent) functions. This presumably new is an extension known -analogue Ruscheweyh derivative operator. We also give some interesting applications this functions method differential subordination. Relevant connections with number ea...

Applying Sǎlǎgean operator, for the class A of analytic functions f(z) in the open unit disk U which are normalized by f(0) = f ′(0) − 1 = 0, the generalization of an analytic function to discuss the starlikeness is considered. Furthermore, from the subordination criteria for Janowski functions generalized by some complex parameters, some interesting subordination criteria for f(z) ∈ A are given.

Zadeh’s fuzzy set theory offers a logical, adaptable solution to the challenge of defining, assessing and contrasting various sustainability scenarios. The results presented in this paper use concept embedded into theories differential subordination superordination established developed geometric function theory. As an extension classical subordination, was first introduced 2011. In order gener...

Abstract The study presented in this article involves q -calculus connected to fractional calculus applied the univalent functions theory. Riemann-Liouville integral of -hypergeometric function is defined here, and investigations are conducted using theories differential subordination superordination. Theorems corollaries containing new superordination results proved for which best dominants su...

We used the concept of quantum calculus (Jackson’s calculus) in a recent note to develop an extended class multivalent functions on open unit disk. Convexity and star-likeness properties are obtained by establishing conditions for this class. The most common inequalities proposed geometrically investigated. Our approach was influenced theory differential subordination. As result, we called atte...

This article is a follow-up of an that describes the proponents eternal functional subordination (EFS). evangelical movement was introduced by George Knight in 1977. The EFS refers to relationship between God Father and Son as authoritative position held Father, while occupies subordinated position. not mainline Protestant churches. find origin their premise Bible well tradition early church. J...