# 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

Produk Detail:

• Author : Johnny Henderson
• Pages : 322 pages
• ISBN : 0128036796
• Rating : 4/5 from 21 reviews

## Boundary Value Problems for Systems of Differential, Difference and Fractional Equations • Author : Johnny Henderson,Rodica Luca
• Release : 30 October 2015

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 Systems of Differential, Difference and Fractional Equations • Author : Johnny Henderson,Rodica Luca,Rodica Luca Tudorache
• Publisher : Elsevier
• Release : 01 October 2015

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 • Author : Bashir Ahmad,Johnny L Henderson,Rodica Luca
• Publisher : World Scientific
• Release : 18 February 2021

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 • Author : Snezhana Hristova
• Publisher : MDPI
• Release : 22 February 2021

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

## Basic Theory • Author : Anatoly Kochubei,Yuri Luchko
• Publisher : Walter de Gruyter GmbH & Co KG
• Release : 19 February 2019

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 aspects.

## 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 : 19 September 2019

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 are in the area of differential equations. Nieto received his degree in Mathematics from the University of Santiago de Compostela in 1980. He was then awarded a Fulbright scholarship and moved

## Eigenvalue and Eigenvector Problems in Applied Mechanics • Author : Sorin Vlase,Marin Marin,Andreas Öchsner
• Publisher : Springer
• Release : 30 October 2018

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 mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability,

## Focal Boundary Value Problems for Differential and Difference Equations • Author : R.P. Agarwal
• Publisher : Springer Science & Business Media
• Release : 09 March 2013

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 received the maximum attention. This is largely due to the fact that these types of problems are basic, in the sense that the methods employed in their study are easily

## 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 : 17 April 2013

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 of the subject. Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and

## Fractional Differential Equations, Inclusions and Inequalities with Applications • Author : Sotiris K. Ntouyas
• Publisher : MDPI
• Release : 09 November 2020

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, control theory, etc. This book presents collective works published in the recent Special Issue (SI) entitled "Fractional Differential Equation, Inclusions and Inequalities with Applications" of the journal Mathematics. This Special

## Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities • Publisher : Springer
• Release : 16 March 2017

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 equations and inclusions as well as their functional counterparts. The book covers fundamental concepts of multivalued analysis and introduces a new class of mixed initial value problems involving the Hadamard

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

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.

## Fractional Differential Equations • Author : Igor Podlubny
• Publisher : Elsevier
• Release : 27 October 1998

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

## Theory and Applications of Fractional Differential Equations • Author : A.A. Kilbas,H. M. Srivastava,J.J. Trujillo
• Publisher : Elsevier
• Release : 02 March 2006

This work aims to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy Type and Cauchy problems involving nonlinear ordinary fractional differential equations.

## Advances in Differential and Difference Equations with Applications 2020 • Author : Dumitru Baleanu
• Publisher : MDPI
• Release : 20 January 2021

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