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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis On the Modified Caputo’s Derivative Operator
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On the Modified Caputo’s Derivative Operator
Jamal Salah (Broschiert, Englisch)
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Beschreibung
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. 47,95 €
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Technische Daten
Erscheinungsdatum
26.10.2022
Sprache
Englisch
EAN
9783346764416
Herausgeber
GRIN Verlag
Sonderedition
Nein
Autor
Jamal Salah
Seitenanzahl
88
Auflage
1
Einbandart
Broschiert
Schlagwörter
modified, caputo’s, derivative, operator
Höhe
210 mm
Breite
14.8 cm
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