Boundary Value Problems for Systems of Differential Difference and Fractional Equations

Written By Johnny Henderson
Boundary Value Problems for Systems of Differential  Difference and Fractional Equations
  • Publsiher : Academic Press
  • Release : 30 October 2015
  • ISBN : 0128036796
  • Pages : 322 pages
  • Rating : /5 from reviews
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Download or read book entitled Boundary Value Problems for Systems of Differential Difference and Fractional Equations by author: Johnny Henderson which was release on 30 October 2015 and published by Academic Press with total page 322 pages . This book available in PDF, EPUB and Kindle Format. Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation will have them, this book will provide a timely presentation on the topic. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed. Explains the systems of second order and higher orders differential equations with integral and multi-point boundary conditions Discusses second order difference equations with multi-point boundary conditions Introduces Riemann-Liouville fractional differential equations with uncoupled and coupled integral boundary conditions

Boundary Value Problems for Systems of Differential Difference and Fractional Equations

Boundary Value Problems for Systems of Differential  Difference and Fractional Equations
  • Author : Johnny Henderson,Rodica Luca
  • Publisher : Academic Press
  • Release Date : 2015-10-30
  • Total pages : 322
  • ISBN : 0128036796
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Summary : Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation ...

Boundary Value Problems For Fractional Differential Equations And Systems

Boundary Value Problems For Fractional Differential Equations And Systems
  • Author : Bashir Ahmad,Johnny L Henderson,Rodica Luca
  • Publisher : World Scientific
  • Release Date : 2021-02-18
  • Total pages : 468
  • ISBN : 0128036796
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Summary : This book is devoted to the study of existence of solutions or positive solutions for various classes of Riemann-Liouville and Caputo fractional differential equations, and systems of fractional differential equations subject to nonlocal boundary conditions. The monograph draws together many of the authors' results, that have been obtained and highly ...

Nonlinear Analysis and Boundary Value Problems

Nonlinear Analysis and Boundary Value Problems
  • Author : Iván Area,Alberto Cabada,José Ángel Cid,Daniel Franco,Eduardo Liz,Rodrigo López Pouso,Rosana Rodríguez-López
  • Publisher : Springer Nature
  • Release Date : 2019-09-19
  • Total pages : 288
  • ISBN : 0128036796
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Summary : This book is devoted to Prof. Juan J. Nieto, on the occasion of his 60th birthday. Juan José Nieto Roig (born 1958, A Coruña) is a Spanish mathematician, who has been a Professor of Mathematical Analysis at the University of Santiago de Compostela since 1991. His most influential contributions to date ...

Recent Investigations of Differential and Fractional Equations and Inclusions

Recent Investigations of Differential and Fractional Equations and Inclusions
  • Author : Snezhana Hristova
  • Publisher : MDPI
  • Release Date : 2021-02-22
  • Total pages : 190
  • ISBN : 0128036796
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Summary : During the past decades, the subject of calculus of integrals and derivatives of any arbitrary real or complex order has gained considerable popularity and impact. This is mainly due to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. In connection with this, great importance ...

New Trends in Differential and Difference Equations and Applications

New Trends in Differential and Difference Equations and Applications
  • Author : Feliz Manuel Minhós,João Fialho
  • Publisher : MDPI
  • Release Date : 2019-10-14
  • Total pages : 198
  • ISBN : 0128036796
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Summary : This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas ...

Fractional Differential Equations Inclusions and Inequalities with Applications

Fractional Differential Equations  Inclusions and Inequalities with Applications
  • Author : Sotiris K. Ntouyas
  • Publisher : MDPI
  • Release Date : 2020-11-09
  • Total pages : 518
  • ISBN : 0128036796
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Summary : During the last decade, there has been an increased interest in fractional differential equations, inclusions, and inequalities, as they play a fundamental role in the modeling of numerous phenomena, in particular, in physics, biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electrodynamics of complex medium, electrical circuits, electron-analytical chemistry, ...

Differential Equations on Measures and Functional Spaces

Differential Equations on Measures and Functional Spaces
  • Author : Vassili Kolokoltsov
  • Publisher : Springer
  • Release Date : 2019-06-20
  • Total pages : 525
  • ISBN : 0128036796
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Summary : This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general kinetic ...

Focal Boundary Value Problems for Differential and Difference Equations

Focal Boundary Value Problems for Differential and Difference Equations
  • Author : R.P. Agarwal
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • Total pages : 294
  • ISBN : 0128036796
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Summary : The last fifty years have witnessed several monographs and hundreds of research articles on the theory, constructive methods and wide spectrum of applications of boundary value problems for ordinary differential equations. In this vast field of research, the conjugate (Hermite) and the right focal point (Abei) types of problems have ...

Positive Solutions of Differential Difference and Integral Equations

Positive Solutions of Differential  Difference and Integral Equations
  • Author : R.P. Agarwal,Donal O'Regan,Patricia J.Y. Wong
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-17
  • Total pages : 418
  • ISBN : 0128036796
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Summary : In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity ...

Nonlinear Differential Equations and Dynamical Systems

Nonlinear Differential Equations and Dynamical Systems
  • Author : Feliz Manuel Minhós,João Fialho
  • Publisher : MDPI
  • Release Date : 2021-04-15
  • Total pages : 158
  • ISBN : 0128036796
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Summary : This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta ...

Nonlocal Nonlinear Fractional order Boundary Value Problems

Nonlocal Nonlinear Fractional order Boundary Value Problems
  • Author : Bashir Ahmad,Sotiris K Ntouyas
  • Publisher : World Scientific
  • Release Date : 2021-04-06
  • Total pages : 596
  • ISBN : 0128036796
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Summary : There has been a great advancement in the study of fractional-order nonlocal nonlinear boundary value problems during the last few decades. The interest in the subject of fractional-order boundary value problems owes to the extensive application of fractional differential equations in many engineering and scientific disciplines. Fractional-order differential and integral ...

Hadamard Type Fractional Differential Equations Inclusions and Inequalities

Hadamard Type Fractional Differential Equations  Inclusions and Inequalities
  • Author : Bashir Ahmad,Ahmed Alsaedi,Sotiris K. Ntouyas,Jessada Tariboon
  • Publisher : Springer
  • Release Date : 2017-03-16
  • Total pages : 414
  • ISBN : 0128036796
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Summary : This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral. Through a comprehensive study based in part on their recent research, the authors address the issues related to initial and boundary value problems involving Hadamard type differential ...

Basic Theory

Basic Theory
  • Author : Anatoly Kochubei,Yuri Luchko
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2019-02-19
  • Total pages : 489
  • ISBN : 0128036796
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Summary : 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 first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other ...

Eigenvalue and Eigenvector Problems in Applied Mechanics

Eigenvalue and Eigenvector Problems in Applied Mechanics
  • Author : Sorin Vlase,Marin Marin,Andreas Öchsner
  • Publisher : Springer
  • Release Date : 2018-10-30
  • Total pages : 256
  • ISBN : 0128036796
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Summary : This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar way. Accordingly, the same ...

Discrete Fractional Calculus

Discrete Fractional Calculus
  • Author : Christopher Goodrich,Allan C. Peterson
  • Publisher : Springer
  • Release Date : 2016-02-09
  • Total pages : 556
  • ISBN : 0128036796
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Summary : This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting ...