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- Boundary Value Problems for Systems of Differential Difference and Fractional Equations

- Author : Johnny Henderson
- Publsiher : Academic Press
- Release : 30 October 2015
- ISBN : 0128036796
- Pages : 322 pages
- Rating : 4/5 from 21 reviews

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Read or download book entitled Boundary Value Problems for Systems of Differential Difference and Fractional Equations written by Johnny Henderson which was release on 30 October 2015, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: 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

- 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 ...

- 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 ...

- 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 ...

- Author : Feliz Manuel Minhos,Robert De Sousa
- Publisher : World Scientific
- Release Date : 2022-04-11
- Total pages : 244
- ISBN : 0128036796

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**Summary :** Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap. The systems covered here include differential and integral equations of Hammerstein-type ...

- Author : Christos H. Skiadas,Ioannis Dimotikalis
- Publisher : Springer Nature
- Release Date : 2021
- Total pages : 212
- ISBN : 0128036796

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**Summary :** Gathering the proceedings of the 13th CHAOS2020 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications ...

- 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 ...

- 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 ...

- 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, ...

- 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 ...

- 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 ...

- 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 ...

- 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 ...

- 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 ...

- Author : Andrei Tchernykh,Anatoly Alikhanov,Mikhail Babenko,Irina Samoylenko
- Publisher : Springer Nature
- Release Date : 2022-04-25
- Total pages : 580
- ISBN : 0128036796

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**Summary :** This book is based on the best papers accepted for presentation during the International Conference on Mathematics and its Applications in New Computer Systems (MANCS-2021), Russia. The book includes research materials on modern mathematical problems, solutions in the field of cryptography, data analysis and modular computing, as well as scientific ...

- Author : C.-H. Chen
- Publisher : IOS Press
- Release Date : 2022-02-25
- Total pages : 1152
- ISBN : 0128036796

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**Summary :** The pervasiveness of computers in every field of science, industry and everyday life has meant that applied mathematics, particularly in relation to modeling and simulation, has become ever more important in recent years. This book presents the proceedings of the 2021 International Conference on Applied Mathematics, Modeling and Computer Simulation (AMMCS 2021), ...