Boundary Value Problems for Systems of Differential Difference and Fractional Equations

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

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  • Author : Johnny Henderson
  • Publisher : Academic Press
  • Pages : 322 pages
  • ISBN : 0128036796
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKBoundary Value Problems for Systems of Differential Difference and Fractional Equations

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 : 30 October 2015
GET THIS BOOKBoundary Value Problems for Systems of Differential, Difference and Fractional Equations

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

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 : 18 February 2021
GET THIS BOOKBoundary Value Problems For Fractional Differential Equations And Systems

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

Recent Investigations of Differential and Fractional Equations and Inclusions

Recent Investigations of Differential and Fractional Equations and Inclusions
  • Author : Snezhana Hristova
  • Publisher : MDPI
  • Release : 22 February 2021
GET THIS BOOKRecent Investigations of Differential and Fractional Equations and Inclusions

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

Differential and Difference Equations with Applications

Differential and Difference Equations with Applications
  • Author : Sandra Pinelas,Zuzana Došlá,Ondřej Došlý,Peter E. Kloeden
  • Publisher : Springer
  • Release : 02 September 2016
GET THIS BOOKDifferential and Difference Equations with Applications

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

Boundary Value Problems

Boundary Value Problems
  • Author : David L. Powers
  • Publisher : Elsevier
  • Release : 10 May 2014
GET THIS BOOKBoundary Value Problems

Boundary Value Problems is a text material on partial differential equations that teaches solutions of boundary value problems. The book also aims to build up intuition about how the solution of a problem should behave. The text consists of seven chapters. Chapter 1 covers the important topics of Fourier Series and Integrals. The second chapter deals with the heat equation, introducing separation of variables. Material on boundary conditions and Sturm-Liouville systems is included here. Chapter 3 presents the wave equation; estimation of

Fractional Differential Equations

Fractional Differential Equations
  • Author : Igor Podlubny
  • Publisher : Elsevier
  • Release : 27 October 1998
GET THIS BOOKFractional Differential Equations

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical

Topological Methods for Differential Equations and Inclusions

Topological Methods for Differential Equations and Inclusions
  • Author : John R. Graef,Johnny Henderson,Abdelghani Ouahab
  • Publisher : CRC Press
  • Release : 25 September 2018
GET THIS BOOKTopological Methods for Differential Equations and Inclusions

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.

Finite Difference Methods. Theory and Applications

Finite Difference Methods. Theory and Applications
  • Author : Ivan Dimov,István Faragó,Lubin Vulkov
  • Publisher : Springer
  • Release : 28 January 2019
GET THIS BOOKFinite Difference Methods. Theory and Applications

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
  • Author : Feliz Manuel Minhós,João Fialho
  • Publisher : MDPI
  • Release : 15 April 2021
GET THIS BOOKNonlinear Differential Equations and Dynamical Systems

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.

Differential Equations for Engineers

Differential Equations for Engineers
  • Author : Wei-Chau Xie
  • Publisher : Cambridge University Press
  • Release : 26 April 2010
GET THIS BOOKDifferential Equations for Engineers

Xie presents a systematic introduction to ordinary differential equations for engineering students and practitioners. Mathematical concepts and various techniques are presented in a clear, logical, and concise manner. Various visual features are used to highlight focus areas. Complete illustrative diagrams are used to facilitate mathematical modeling of application problems. Readers are motivated by a focus on the relevance of differential equations through their applications in various engineering disciplines. Studies of various types of differential equations are determined by engineering applications.

Special Functions and Analysis of Differential Equations

Special Functions and Analysis of Differential Equations
  • Author : Praveen Agarwal,Ravi P Agarwal,Michael Ruzhansky
  • Publisher : CRC Press
  • Release : 08 September 2020
GET THIS BOOKSpecial Functions and Analysis of Differential Equations

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

Mathematical Methods in Engineering

Mathematical Methods in Engineering
  • Author : K. Tas,J.A. Tenreiro Machado,D. Baleanu
  • Publisher : Springer Science & Business Media
  • Release : 25 November 2007
GET THIS BOOKMathematical Methods in Engineering

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.

Finite Difference Methods for Ordinary and Partial Differential Equations

Finite Difference Methods for Ordinary and Partial Differential Equations
  • Author : Randall J. LeVeque
  • Publisher : SIAM
  • Release : 01 January 2007
GET THIS BOOKFinite Difference Methods for Ordinary and Partial Differential Equations

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.