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Advances In Fuzzy Integral And Differential Equations


Advances In Fuzzy Integral And Differential Equations
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Advances In Fuzzy Integral And Differential Equations


Advances In Fuzzy Integral And Differential Equations
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Author : Tofigh Allahviranloo
language : en
Publisher: Springer Nature
Release Date : 2021-07-25

Advances In Fuzzy Integral And Differential Equations written by Tofigh Allahviranloo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-25 with Technology & Engineering categories.


As the title of the book suggests, the topics of this book are organized into two parts. The first part points out the fuzzy differential equations and the second one is related to the fuzzy integral equations. The book contains nine chapters that six chapters are about fuzzy differential equations and three of them are about fuzzy integral equations. In each part, the chapters’ authors are going to discuss the topics theoretically and numerically. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit from the subjects of the book.



Topics In Integral And Integro Differential Equations


Topics In Integral And Integro Differential Equations
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Author : Harendra Singh
language : en
Publisher: Springer Nature
Release Date : 2021-04-16

Topics In Integral And Integro Differential Equations written by Harendra Singh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-16 with Technology & Engineering categories.


This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. Key Features • New and advanced methods for solving integral and integro-differential equations • Contains comparison of various methods for accuracy • Demonstrates the applicability of integral and integro-differential equations in other scientific areas • Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations



Theory Of Fuzzy Differential Equations And Inclusions


Theory Of Fuzzy Differential Equations And Inclusions
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Author : V. Lakshmikantham
language : en
Publisher: CRC Press
Release Date : 2004-11-23

Theory Of Fuzzy Differential Equations And Inclusions written by V. Lakshmikantham and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-23 with Mathematics categories.


Fuzzy differential functions are applicable to real-world problems in engineering, computer science, and social science. That relevance makes for rapid development of new ideas and theories. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and provides a systematic account of recent developments. The chapters are presented in a clear and logical way and include the preliminary material for fuzzy set theory; a description of calculus for fuzzy functions, an investigation of the basic theory of fuzzy differential equations, and an introduction to fuzzy differential inclusions.



Recent Advances In Intuitionistic Fuzzy Logic Systems And Mathematics


Recent Advances In Intuitionistic Fuzzy Logic Systems And Mathematics
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Author : Said Melliani
language : en
Publisher: Springer Nature
Release Date : 2020-10-12

Recent Advances In Intuitionistic Fuzzy Logic Systems And Mathematics written by Said Melliani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-12 with Technology & Engineering categories.


This book provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. Covering topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations, it discusses applications such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction. The book features selected contributions presented at the 6th international congress of the Moroccan Applied Mathematics Society, which took place at Sultan Moulay Slimane University Beni Mellal, Morocco, from 7 to 9 November 2019.



Advances In Differential And Integral Equations


Advances In Differential And Integral Equations
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Author : John A. Nohel
language : en
Publisher:
Release Date : 1969

Advances In Differential And Integral Equations written by John A. Nohel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.




Recent Advances In Fuzzy Sets Theory Fractional Calculus Dynamic Systems And Optimization


Recent Advances In Fuzzy Sets Theory Fractional Calculus Dynamic Systems And Optimization
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Author : Said Melliani
language : en
Publisher: Springer Nature
Release Date : 2022-08-10

Recent Advances In Fuzzy Sets Theory Fractional Calculus Dynamic Systems And Optimization written by Said Melliani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-10 with Technology & Engineering categories.


We describe in this book recent advances in fuzzy sets theory, fractional calculus, dynamic systems, and optimization. The book provides a setting for the discussion of recent developments in a wide variety of topics including partial differential equations, dynamic systems, optimization, numerical analysis, fuzzy sets theory, fractional calculus, and its applications. The book is aimed at bringing together contributions from leading academic scientists, researchers, and research scholars to exchange and share their experiences and research results on all aspects of applied mathematics, modeling, algebra, economics, finance, and applications. It also provides an interdisciplinary platform for researchers, practitioners, and educators to present the most recent innovations, trends, and concerns as well as practical challenges encountered and solutions adopted in the fields of applied mathematics. The published chapters address various aspects of academic scientists, researchers, and research scholars in many variety mathematical topics.



Fuzzy Differential Equations In Various Approaches


Fuzzy Differential Equations In Various Approaches
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Author : Luciana Takata Gomes
language : en
Publisher: Springer
Release Date : 2015-09-07

Fuzzy Differential Equations In Various Approaches written by Luciana Takata Gomes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-07 with Mathematics categories.


This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh’s extension. Through a unique analysis, results of all these theories are examined and compared.



Advances In Differential And Difference Equations With Applications 2020


Advances In Differential And Difference Equations With Applications 2020
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Author : Dumitru Baleanu
language : en
Publisher: MDPI
Release Date : 2021-01-20

Advances In Differential And Difference Equations With Applications 2020 written by Dumitru Baleanu and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-20 with Computers categories.


It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.



Recent Advances In Integral Equations


Recent Advances In Integral Equations
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Author : Francisco Bulnes
language : en
Publisher: BoD – Books on Demand
Release Date : 2019-07-24

Recent Advances In Integral Equations written by Francisco Bulnes and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-24 with Computers categories.


Integral equations are functional equations in which an unknown function appears under an integral sign. This can involve aspects of function theory and their integral transforms when the unknown function appears with a functional non-degenerated kernel under the integral sign. The close relation between differential and integral equations does that in some functional analysis, and function theory problems may be formulated either way. This book establishes the fundamentals of integral equations and considers some deep research aspects on integral equations of first and second kind, operator theory applied to integral equations, methods to solve some nonlinear integral equations, and singular integral equations, among other things. This is the first volume on this theme, hoping that other volumes of this important functional analysis theme and operator theory to formal functional equations will be realized in the future.



Fuzzy Fractional Differential Operators And Equations


Fuzzy Fractional Differential Operators And Equations
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Author : Tofigh Allahviranloo
language : en
Publisher: Springer Nature
Release Date : 2020-06-15

Fuzzy Fractional Differential Operators And Equations written by Tofigh Allahviranloo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-15 with Technology & Engineering categories.


This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the title of the book suggests, the fuzzy subject matter is one of the most important tools discussed. Therefore, it begins by providing a brief but important and new description of fuzzy sets and the computational calculus they require. Fuzzy fractals and fractional operators have a broad range of applications in the engineering, medical and economic sciences. Although these operators have been addressed briefly in previous papers, this book represents the first comprehensive collection of all relevant explanations. Most of the real problems in the biological and engineering sciences involve dynamic models, which are defined by fuzzy fractional operators in the form of fuzzy fractional initial value problems. Another important goal of this book is to solve these systems and analyze their solutions both theoretically and numerically. Given the content covered, the book will benefit all researchers and students in the mathematical and computer sciences, but also the engineering sciences.