Upper and lower bounds of integral operator defined by the fractional hypergeometric function

Abstract

Abstract:In this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions containing extended Noor integral operator are introduced. Some characteristics of these functions are imposed, involving coefficient bounds and distortion theorems. Further, sufficient conditions for subordination and superordination are illustrated.

Studies on Fractional Differential Operators of Two Parameters in a Complex Domain

“…Motivated by the numerous allowances of the fractional derivative operators which have newly been reflected by many authors, here, we purposed two operators involving the generalized hypergeometric-type function and the generalized Beta function. Various studies can be found in [12,13,14].…”

The Existence of a Unique Solution of Nonlinear Integral Equation in Fréchet Space

“…[2] In the twentieth century, the theory of Nonlinear functional integral equations has become an active area of research due to their applications in the fields such as engineering, mechanics, physics, chemistry, biology, economics and so on. For more details, one can see [3,4,5,6,7,8,9], and references therein.…”

Using Frechet space to solve non linear functional integral equations

“…Integral equations have a wide range applications in many fields of science, like physics, engineering economics and many other fields. (1,2,3,4,5) Various techniques have been devised by many researchers to solve the integral equations.…”