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

Boundary Value Problems for Systems of Differential, Difference and Fractional Equations
Positive Solutions

by Johnny Henderson,Rodica Luca

  • Publisher : Academic Press
  • Release : 2015-10-30
  • Pages : 322
  • ISBN : 0128036796
  • Language : En, Es, Fr & De
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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 Fractional Differential Equations And Systems

Boundary Value Problems For Fractional Differential Equations And Systems
A Book

by Bashir Ahmad,Johnny L Henderson,Rodica Luca

  • Publisher : World Scientific
  • Release : 2021-02-18
  • Pages : 468
  • ISBN : 9811224471
  • Language : En, Es, Fr & De
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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 cited in the literature in the last four years.In each chapter, various examples are presented which support the main results. The methods used in the proof of these theorems include results from the fixed point theory and fixed point index theory. This volume can serve as a good resource for mathematical and scientific researchers, and for graduate students in mathematics and science interested in the existence of solutions for fractional differential equations and systems.

Recent Investigations of Differential and Fractional Equations and Inclusions

Recent Investigations of Differential and Fractional Equations and Inclusions
A Book

by Snezhana Hristova

  • Publisher : MDPI
  • Release : 2021-02-22
  • Pages : 190
  • ISBN : 303650074X
  • Language : En, Es, Fr & De
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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 is attached to the publication of results that focus on recent and novel developments in the theory of any types of differential and fractional differential equation and inclusions, especially covering analytical and numerical research for such kinds of equations. This book is a compilation of articles from a Special Issue of Mathematics devoted to the topic of “Recent Investigations of Differential and Fractional Equations and Inclusions”. It contains some theoretical works and approximate methods in fractional differential equations and inclusions as well as fuzzy integrodifferential equations. Many of the papers were supported by the Bulgarian National Science Fund under Project KP-06-N32/7. Overall, the volume is an excellent witness of the relevance of the theory of fractional differential equations.

Differential and Difference Equations with Applications

Differential and Difference Equations with Applications
ICDDEA, Amadora, Portugal, May 2015, Selected Contributions

by Sandra Pinelas,Zuzana Došlá,Ondřej Došlý,Peter E. Kloeden

  • Publisher : Springer
  • Release : 2016-09-02
  • Pages : 451
  • ISBN : 3319328573
  • Language : En, Es, Fr & De
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Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential & Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell. Contributions include new trends in the field of differential and difference equations, applications of differential and difference equations, as well as high-level survey results. The main aim of this recurring conference series is to promote, encourage, cooperate, and bring together researchers in the fields of differential & difference equations. All areas of differential and difference equations are represented, with special emphasis on applications.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
Index

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1976
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Finite Difference Methods. Theory and Applications

Finite Difference Methods. Theory and Applications
7th International Conference, FDM 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers

by Ivan Dimov,István Faragó,Lubin Vulkov

  • Publisher : Springer
  • Release : 2019-01-28
  • Pages : 688
  • ISBN : 3030115399
  • Language : En, Es, Fr & De
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This book constitutes the refereed conference proceedings of the 7th International Conference on Finite Difference Methods, FDM 2018, held in Lozenetz, Bulgaria, in June 2018.The 69 revised full papers presented together with 11 invited papers were carefully reviewed and selected from 94 submissions. They deal with many modern and new numerical techniques like splitting techniques, Green’s function method, multigrid methods, and immersed interface method.

Nonlinear Differential Equations and Dynamical Systems

Nonlinear Differential Equations and Dynamical Systems
Theory and Applications

by Feliz Manuel Minhós,João Fialho

  • Publisher : MDPI
  • Release : 2021-04-15
  • Pages : 158
  • ISBN : 3036507108
  • Language : En, Es, Fr & De
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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 function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.

Mathematical Methods in Engineering

Mathematical Methods in Engineering
A Book

by K. Tas,J.A. Tenreiro Machado,D. Baleanu

  • Publisher : Springer Science & Business Media
  • Release : 2007-11-25
  • Pages : 468
  • ISBN : 1402056788
  • Language : En, Es, Fr & De
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This book contains some of the contributions that have been carefully selected and peer-reviewed, which were presented at the International Symposium MME06 Mathematical Methods in Engineering, held in Cankaya University, Ankara, April 2006. The Symposium provided a setting for discussing recent developments in Fractional Mathematics, Neutrices and Generalized Functions, Boundary Value Problems, Applications of Wavelets, Dynamical Systems and Control Theory.

International Aerospace Abstracts

International Aerospace Abstracts
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1979
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Mathematical Reviews

Mathematical Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2004
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Topological Methods for Differential Equations and Inclusions

Topological Methods for Differential Equations and Inclusions
A Book

by John R. Graef,Johnny Henderson,Abdelghani Ouahab

  • Publisher : CRC Press
  • Release : 2018-09-25
  • Pages : 360
  • ISBN : 0429822626
  • Language : En, Es, Fr & De
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Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.

Differential Equations with Boundary-value Problems

Differential Equations with Boundary-value Problems
A Book

by Dennis G. Zill,Michael R. Cullen

  • Publisher : Brooks/Cole Publishing Company
  • Release : 2001
  • Pages : 699
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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This new Fifth Edition of Zill and Cullen's best-selling book provides a thorough treatment of boundary-value problems and partial differential equations. This edition maintains all the features and qualities that have made Differential Equations with Boundary-Value Problems popular and successful over the years. Written in a straightforward, readable, helpful, not-too-theoretical manner, this new edition keeps the reader firmly in mind and strikes a perfect balance between the teaching of traditional content and the incorporation of evolving technology.

Monthly Index of Russian Accessions

Monthly Index of Russian Accessions
A Book

by Library of Congress. Processing Dept

  • Publisher : Unknown Publisher
  • Release : 1968-07
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Annals of Differential Equations

Annals of Differential Equations
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2006
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Research in British Universities, Polytechnics and Colleges 1982.

Research in British Universities, Polytechnics and Colleges 1982.
Physical sciences. Vol. 1

by British Library,British Library. RBUPC Office

  • Publisher : Unknown Publisher
  • Release : 1982
  • Pages : 930
  • ISBN : 9780712320030
  • Language : En, Es, Fr & De
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Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews

Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1988
  • Pages : 3998
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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New Trends in Fractional Differential Equations with Real-World Applications in Physics

New Trends in Fractional Differential Equations with Real-World Applications in Physics
A Book

by Jagdev Singh,Jordan Yankov Hristov,Zakia Hammouch

  • Publisher : Frontiers Media SA
  • Release : 2020-12-30
  • Pages : 329
  • ISBN : 2889663043
  • Language : En, Es, Fr & De
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Colloquium on Differential and Difference Equations

Colloquium on Differential and Difference Equations
CDDE 2002 Proceedings

by Miroslav Bartušek,Ondřej Došlý

  • Publisher : Unknown Publisher
  • Release : 2003
  • Pages : 304
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Index of Mathematical Papers

Index of Mathematical Papers
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1974
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Special Functions and Analysis of Differential Equations

Special Functions and Analysis of Differential Equations
A Book

by Praveen Agarwal,Ravi P Agarwal,Michael Ruzhansky

  • Publisher : CRC Press
  • Release : 2020-09-08
  • Pages : 354
  • ISBN : 1000078566
  • Language : En, Es, Fr & De
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Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of fractional order (that is, of arbitrary order) as better models of phenomena in various physics, engineering, automatization, biology and biomedicine, chemistry, earth science, economics, nature, and so on. Now, new unified presentation and extensive development of special functions associated with fractional calculus are necessary tools, being related to the theory of differentiation and integration of arbitrary order (i.e., fractional calculus) and to the fractional order (or multi-order) differential and integral equations. This book provides learners with the opportunity to develop an understanding of advancements of special functions and the skills needed to apply advanced mathematical techniques to solve complex differential equations and Partial Differential Equations (PDEs). Subject matters should be strongly related to special functions involving mathematical analysis and its numerous applications. The main objective of this book is to highlight the importance of fundamental results and techniques of the theory of complex analysis for differential equations and PDEs and emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Specific topics include but are not limited to Partial differential equations Least squares on first-order system Sequence and series in functional analysis Special functions related to fractional (non-integer) order control systems and equations Various special functions related to generalized fractional calculus Operational method in fractional calculus Functional analysis and operator theory Mathematical physics Applications of numerical analysis and applied mathematics Computational mathematics Mathematical modeling This book provides the recent developments in special functions and differential equations and publishes high-quality, peer-reviewed book chapters in the area of nonlinear analysis, ordinary differential equations, partial differential equations, and related applications.