Examining the behavior of parametric convex operators on a certain set of analytical functions.

Mathematical operators that maintain convex functional combinations involving at least one parameter are called parametric convex operators (PCOs) on analytic function spaces. In the context of analytic functions, these operators are often described on spaces of holomorphic (analytic) functions. The most important challenge in this direction is to investigate the boundedness and discovers the upper bound element (in this case, it is the extreme analytic function in the open unit disk).

Studies on a new K-symbol analytic functions generated by a modified K-symbol Riemann-Liouville fractional calculus.

Analytic functions are very helpful in many mathematical and scientific uses, such as complex integration, potential theory, and fluid dynamics, due to their geometric features. Particularly conformal mappings are widely used in physics and engineering because they make it possible to convert complex physical issues into simpler ones with simpler answers. We investigate a novel family of analytic functions in the open unit disk using the K-symbol fractional differential operator type Riemann-Liouville fractional calculus of a complex variable.

Formula for meromorphic symmetric differences operator with application in the theory of subordination inequality.

This investigation deals with a new symmetric formula for a class of meromorphic analytic functions in the puncher open unit disk. Accordingly, the symmetric formula is employed to define a convolution linear operator associated with a special function type the incomplete hypergeometric function. By making utilize the recommended operators, a new sub-classes of meromorphic functions is presented discussing some subordination results.

A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains.

It has been reported that there are seven different types of coronaviruses realized by individuals, containing those responsible for the SARS, MERS, and COVID-19 epidemics. Nowadays, numerous designs of COVID-19 are investigated using different operators of fractional calculus. Most of these mathematical models describe only one type of COVID-19 (infected and asymptomatic).