Fixed Point Theory And Fractional Calculus PDF Download
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Author | : Pradip Debnath |
Publisher | : Springer Nature |
Total Pages | : 358 |
Release | : 2022-05-10 |
Genre | : Mathematics |
ISBN | : 9811906688 |
Download Fixed Point Theory and Fractional Calculus Book in PDF, ePub and Kindle
This book collects chapters on fixed-point theory and fractional calculus and their applications in science and engineering. It discusses state-of-the-art developments in these two areas through original new contributions from scientists across the world. It contains several useful tools and techniques to develop their skills and expertise in fixed-point theory and fractional calculus. New research directions are also indicated in chapters. This book is meant for graduate students and researchers willing to expand their knowledge in these areas. The minimum prerequisite for readers is the graduate-level knowledge of analysis, topology and functional analysis.
Author | : Bipan Hazarika |
Publisher | : Springer Nature |
Total Pages | : 319 |
Release | : |
Genre | : |
ISBN | : 9819992079 |
Download Advances in Functional Analysis and Fixed-Point Theory Book in PDF, ePub and Kindle
Author | : Yong Zhou |
Publisher | : World Scientific |
Total Pages | : 516 |
Release | : 2023-10-06 |
Genre | : Mathematics |
ISBN | : 9811271704 |
Download Basic Theory Of Fractional Differential Equations (Third Edition) Book in PDF, ePub and Kindle
This accessible monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary differential equations and evolution equations. It is self-contained and unified in presentation, and provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, Picard operators technique, critical point theory and semigroups theory. This book is based on the research work done so far by the author and other experts, and contains comprehensive up-to-date materials on the topic.In this third edition, four new topics have been added: Hilfer fractional evolution equations and infinite interval problems, oscillations and nonoscillations, fractional Hamiltonian systems, fractional Rayleigh-Stokes equations, and wave equations. The bibliography has also been updated and expanded.This book is useful to researchers, graduate or PhD students dealing with fractional calculus and applied analysis, differential equations, and related areas of research.
Author | : Mouffak Benchohra |
Publisher | : Springer Nature |
Total Pages | : 197 |
Release | : 2023-07-10 |
Genre | : Mathematics |
ISBN | : 303134877X |
Download Fractional Differential Equations Book in PDF, ePub and Kindle
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.
Author | : Praveen Agarwal |
Publisher | : Springer |
Total Pages | : 166 |
Release | : 2018-10-13 |
Genre | : Mathematics |
ISBN | : 9811329133 |
Download Fixed Point Theory in Metric Spaces Book in PDF, ePub and Kindle
This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. Divided into ten chapters, it discusses topics such as the Banach contraction principle and its converse; Ran-Reurings fixed point theorem with applications; the existence of fixed points for the class of α-ψ contractive mappings with applications to quadratic integral equations; recent results on fixed point theory for cyclic mappings with applications to the study of functional equations; the generalization of the Banach fixed point theorem on Branciari metric spaces; the existence of fixed points for a certain class of mappings satisfying an implicit contraction; fixed point results for a class of mappings satisfying a certain contraction involving extended simulation functions; the solvability of a coupled fixed point problem under a finite number of equality constraints; the concept of generalized metric spaces, for which the authors extend some well-known fixed point results; and a new fixed point theorem that helps in establishing a Kelisky–Rivlin type result for q-Bernstein polynomials and modified q-Bernstein polynomials. The book is a valuable resource for a wide audience, including graduate students and researchers.
Author | : S. A. Mohiuddine |
Publisher | : CRC Press |
Total Pages | : 205 |
Release | : 2024-04-24 |
Genre | : Mathematics |
ISBN | : 1040013325 |
Download Measure of Noncompactness, Fixed Point Theorems, and Applications Book in PDF, ePub and Kindle
The theory of the measure of noncompactness has proved its significance in various contexts, particularly in the study of fixed point theory, differential equations, functional equations, integral and integrodifferential equations, optimization, and others. This edited volume presents the recent developments in the theory of the measure of noncompactness and its applications in pure and applied mathematics. It discusses important topics such as measures of noncompactness in the space of regulated functions, application in nonlinear infinite systems of fractional differential equations, and coupled fixed point theorem. Key Highlights: Explains numerical solution of functional integral equation through coupled fixed point theorem, measure of noncompactness and iterative algorithm Showcases applications of the measure of noncompactness and Petryshyn’s fixed point theorem functional integral equations in Banach algebra Explores the existence of solutions of the implicit fractional integral equation via extension of the Darbo’s fixed point theorem Discusses best proximity point results using measure of noncompactness and its applications Includes solvability of some fractional differential equations in the holder space and their numerical treatment via measures of noncompactness This reference work is for scholars and academic researchers in pure and applied mathematics.
Author | : Anatoly Kochubei |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 528 |
Release | : 2019-02-19 |
Genre | : Mathematics |
ISBN | : 3110571668 |
Download Fractional Differential Equations Book in PDF, ePub and Kindle
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.
Author | : Mouffak Benchohra |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 336 |
Release | : 2023-11-20 |
Genre | : Technology & Engineering |
ISBN | : 3111334384 |
Download Fractional Differential Equations Book in PDF, ePub and Kindle
This book is devoted to the existence and uniqueness results for various classes of problems with periodic conditions. All of the problems in this book deal with fractional differential equations and some fractional derivatives such as the Riemann-Liouville, Caputo and Hilfer fractional derivatives. Classical fixed point theorems as well as the coincidence degree theory of Mawhin are employed as tools.
Author | : Juan J. Nieto |
Publisher | : MDPI |
Total Pages | : 172 |
Release | : 2019-11-19 |
Genre | : Mathematics |
ISBN | : 3039217321 |
Download Fractional Differential Equations Book in PDF, ePub and Kindle
Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different properties. However, many aspects from theoretical and practical points of view have still to be developed in relation to models based on fractional operators. This Special Issue is related to new developments on different aspects of fractional differential equations, both from a theoretical point of view and in terms of applications in different fields such as physics, chemistry, or control theory, for instance. The topics of the Issue include fractional calculus, the mathematical analysis of the properties of the solutions to fractional equations, the extension of classical approaches, or applications of fractional equations to several fields.
Author | : Ravi P. Agarwal |
Publisher | : Cambridge University Press |
Total Pages | : 182 |
Release | : 2001-03-22 |
Genre | : Mathematics |
ISBN | : 1139433792 |
Download Fixed Point Theory and Applications Book in PDF, ePub and Kindle
This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type.