On Inequalities and Filtration Associated with the Nonlinear Fractional Operator

On Inequalities and Filtration Associated with the Nonlinear Fractional Operator

In this paper, we study a new filtration class <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi mathvariant="script">MF</mi><mrow><mi>α</mi><mo&...

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Bibliographic Details
Main Authors: Maryam Nazir, Syed Zakir Hussain Bukhari, Jong-Suk Ro, Fairouz Tchier, Sarfraz Nawaz Malik
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Fractal and Fractional
Subjects:
infinitesimal generator
Fekete–Szegö inequality
semi-group
differential subordination
fractional differential operator
Online Access:https://www.mdpi.com/2504-3110/7/10/726
Description
Summary:In this paper, we study a new filtration class <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi mathvariant="script">MF</mi><mrow><mi>α</mi><mo>,</mo><mi>β</mi></mrow><mi>μ</mi></msubsup><mo>,</mo></mrow></semantics></math></inline-formula> associated with the filtration of infinitesimal generators, by using the nonlinear fractional differential operator and study certain properties, like sharp Fekete–Szegö inequalities and filtration problems.
ISSN:2504-3110

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