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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Advanced Topics on Caputo Tempered Fractional Differential Equations with Applications
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Advanced Topics on Caputo Tempered Fractional Differential Equations with Applications
Abdelkrim Salim, Mouffak Benchohra, Erdal Karapinar (Gebundene Ausgabe, Englisch)
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Beschreibung
This book offers a unified and rigorous treatment of nonlinear differential equations involving the Caputo tempered fractional derivative and its generalizations. Spanning nine chapters, the authors systematically develop analytical methods for solving a wide variety of problems, including those with nonlocal, impulsive, periodic and delayed structures, within both deterministic and random… settings. Each chapter is dedicated to a particular class of problems, beginning with global convergence and uniqueness analysis for the successive approximations method and extending to systems with neutral and infinite delays, boundary value problems with impulses, and coupled systems. The analytical approaches employed throughout the book include a rich array of mathematical tools: fixed point theory (Banach, Schauder, Darbo, Monch, Schaefer, Sadovskii, and Krasnoselskii); coincidence degree theory; the method of upper and lower solutions; diagonalization techniques; and the measure of noncompactness. Special attention is given to various notions of stability, including Ulam-Hyers and Mittag-Leffler-Ulam-Hyers stability, as well as the existence of periodic and weak solutions. To ensure practical relevance and illustrate the applicability of each theoretical result, every chapter concludes with a section devoted to remarks and bibliographical suggestions as well as examples that highlight the effectiveness of the proposed methods. This book is ideal for graduate students, researchers, and professionals working in the fields of applied mathematics, differential equations, and fractional calculus. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
22.06.2026
Sprache
Englisch
EAN
9783032233271
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Abdelkrim Salim, Mouffak Benchohra, Erdal Karapinar
Seitenanzahl
371
Einbandart
Gebundene Ausgabe
Schlagwörter
Tempered Fractional Calculus, Differential Equations, Ulam Stability, Boundary Value Problems, Measure of Noncompactness, Gronwall Inequality, Impulsive Problems, Fixed Point Theory, Implicit Fractional Differential Equations, Banach Spaces
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBKL - Integralrechnung und -gleichungen
PBK - Mathematische Analysis, allgemein
PBKF - Funktionalanalysis und Abwandlungen
PBW - Angewandte Mathematik
Höhe
279 mm
Breite
21 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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