On the Modified Caputo's Derivative Operator (PDF)
(Sprache: Englisch)
Doctoral Thesis / Dissertation from the year 2022 in the subject Mathematics - Analysis, grade: 4.00, , language: English, abstract: The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via...
sofort als Download lieferbar
eBook (pdf)
36.99 €
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenloser tolino webreader
Produktdetails
Produktinformationen zu „On the Modified Caputo's Derivative Operator (PDF)“
Doctoral Thesis / Dissertation from the year 2022 in the subject Mathematics - Analysis, grade: 4.00, , language: English, abstract: The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via applications of fractional calculus. The Caputo's definition of fractional derivative of order has not been obviously applied in the field. However, it plays a vital role in other areas like physics and engineering due to its simple restrictions compared to Liouville's integral operator. By modifying the Caputo's derivative operator, a new modified Caputo's operator is defined in this book.
Consequently, new subclasses of analytic functions are introduced, and basic properties, such as distortion theorems, extremal functions, coefficient bounds, the integral transform, superordination and subordination results are discussed. The radii of basic well known properties (Univalency, Starlikeness, Convexity) are also obtained for the new subclasses. Moreover, some results of the modified Hadamard product (convolution) are provided by applying the famous Cauchy-Schwartz inequality.
In order to expand the application of the modified Caputo's operator, two new subclasses of analytic p-valent functions are introduced and investigated through the concepts of neighbourhood and inclusion relations. Further, the definition of Univalency with respect to 1 together with subordination are used to solve a sharp functional of Fekete-Szegö problem. Moreover, some interesting results related to Hankel determinant are obtained.
Consequently, new subclasses of analytic functions are introduced, and basic properties, such as distortion theorems, extremal functions, coefficient bounds, the integral transform, superordination and subordination results are discussed. The radii of basic well known properties (Univalency, Starlikeness, Convexity) are also obtained for the new subclasses. Moreover, some results of the modified Hadamard product (convolution) are provided by applying the famous Cauchy-Schwartz inequality.
In order to expand the application of the modified Caputo's operator, two new subclasses of analytic p-valent functions are introduced and investigated through the concepts of neighbourhood and inclusion relations. Further, the definition of Univalency with respect to 1 together with subordination are used to solve a sharp functional of Fekete-Szegö problem. Moreover, some interesting results related to Hankel determinant are obtained.
Bibliographische Angaben
- Autor: Jamal Salah
- 2022, 1. Auflage, 85 Seiten, Englisch
- Verlag: GRIN Verlag
- ISBN-10: 3346764400
- ISBN-13: 9783346764409
- Erscheinungsdatum: 18.11.2022
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 1.04 MB
- Ohne Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
Kommentar zu "On the Modified Caputo's Derivative Operator"
0 Gebrauchte Artikel zu „On the Modified Caputo's Derivative Operator“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "On the Modified Caputo's Derivative Operator".
Kommentar verfassen