On the symmetries of three-dimensional generalized symmetric spaces

In this work we consider the three-dimensional generalized symmetric space, equipped with the left-invariant pseudo-Riemannian metric. We determine Killing vector fields and affine vectors fields. Also we obtain a full classification of Ricci, curvature and matter collineations

Some hypergeometric summations formulas and series identities with applications

In the paper we present two incomplete Gaussian hypergeometric formulas in summation form by specific known formulas.We also developed each of these formulas and how they use to derive double series identities in general forms.

A note on C. C. Yang's question corresponding to linear shift operator.

In this paper, we investigate shared value problems of finite ordered meromorphic functions with the linear shift operators governed by them, which practically provide an answer to Yang’s question. We exhibit a number of examples which will justify some assertions in the paper. Based on some examples relevant with the discussion, we also place a question in the penultimate section for future research.

Jensen's type inequalities for the finite Hilbert transform of convex functions

In this paper we obtain some new inequalities for the finite Hilbert transform of convex functions by the use of Jensen’s integral inequality. Applications for exponential function are provided as well.

A novel epidemic model to analyze and control the chaotic behavior of COVID-19 outbreak.

The coronavirus disease 2019 (COVID-19) has been spread all over the world. There are more than 43.14 million COVID-19 confirmed cases and over 1.15 million deaths reported worldwide till October 26, 2020. As the proper treatment/vaccine is not available, most of the countries are relying on various preventive measures to check the spread of epidemic. The aim of this article is to analyze the impact of corona preventive measures on the spread of COVID-19 by employing a novel epidemic model. Moreover, time series and bifurcation analysis techniques have been used to estimate this impact. To prove the validity of our model, we apply our model on highly affected countries such as China, Italy, USA, UK and India. Our findings might be very useful tool for decision holders and policy makers to take the right decisions in a timely way to control the outbreak of COVID-19, knowing the uncertainties about the coronovirus disease. We show a good agreement between the reported data and the estimations given by our model.

On univalence of an integral operator

In this paper we define an integral operator for analytic functions in the open unit disk and we determine certain univalence criteria for this integral operator

Certain subclass of bi-univalent functions associated with the Chebyshev polynomials based on q-derivative symmetric q-derivative

In this paper, we introduce new subclass Beq σB (λ, t) of bi-univalent functions by applying the Chebyshev polynomials. In the following, we obtain bounds for the initial coefficients and the Fekete-Szeg¨o inequalities for functions in this subclass. The results presented in this paper generalize the recent work of Altinkaya and Yalcın.

Generalized Bernstein type operators

In this paper we investigate certain properties of a class of generalized Bernstein type operators

Caputo-Fabrizio fractional differential equations in Frechet spaces

This paper deals with some existence and uniqueness of solutions for a class of functional Caputo-Fabrizio fractional differential equations. Some applications are made of a generalization of the classical Darbo fixed point theorem for Frechet spaces associate with the concept of measure of noncompactness. The last section illustrates our results with some examples.

Transformation formulas of incomplete hypergeometric functions via fractional calculus operators

The desire for present article is to derive from the application of fractional calculus operators a transformation that expresses a potentially useful incomplete hypergeometric function in various forms of a countable sum of lesser-order functions. Often listed are numerous (known or new) specific cases and implications of the findings described herein