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

Written By • Release : 30 October 2015
• ISBN : 0128036796
• Pages : 322 pages
• Rating : 4/5 from 21 reviews

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

## Boundary Value Problems for Systems of Differential Difference and Fractional Equations • Author : Johnny Henderson,Rodica Luca
• Release Date : 2015-10-30
• Total pages : 322
• ISBN : 0128036796

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 • Author : Bashir Ahmad,Johnny L Henderson,Rodica Luca
• Publisher : World Scientific
• Release Date : 2021-02-18
• Total pages : 468
• ISBN : 0128036796

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 ...

## Recent Investigations of Differential and Fractional Equations and Inclusions • Author : Snezhana Hristova
• Publisher : MDPI
• Release Date : 2021-02-22
• Total pages : 190
• ISBN : 0128036796

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 ...

## 13th Chaotic Modeling and Simulation International Conference • Author : Christos H. Skiadas,Ioannis Dimotikalis
• Publisher : Springer Nature
• Release Date : 2021
• Total pages : 212
• ISBN : 0128036796

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 ...

## Differential Equations on Measures and Functional Spaces • Author : Vassili Kolokoltsov
• Publisher : Springer
• Release Date : 2019-06-20
• Total pages : 525
• ISBN : 0128036796

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 ...

## Fractional Differential Equations Inclusions and Inequalities with Applications • Author : Sotiris K. Ntouyas
• Publisher : MDPI
• Release Date : 2020-11-09
• Total pages : 518
• ISBN : 0128036796

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, ...

## 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

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 ...

## Basic Theory • Author : Anatoly Kochubei,Yuri Luchko
• Publisher : Walter de Gruyter GmbH & Co KG
• Release Date : 2019-02-19
• Total pages : 489
• ISBN : 0128036796

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 ...

## New developments in Functional and Fractional Differential Equations and in Lie Symmetry • Author : Ioannis P. Stavroulakis,Hossein Jafari
• Publisher : MDPI
• Release Date : 2021-09-03
• Total pages : 156
• ISBN : 0128036796

Summary : Delay, difference, functional, fractional, and partial differential equations have many applications in science and engineering. In this Special Issue, 29 experts co-authored 10 papers dealing with these subjects. A summary of the main points of these papers follows: Several oscillation conditions for a first-order linear differential equation with non-monotone delay are established ...

## Nonlinear Differential Equations and Dynamical Systems • Author : Feliz Manuel Minhós,João Fialho
• Publisher : MDPI
• Release Date : 2021-04-15
• Total pages : 158
• ISBN : 0128036796

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 • Author : Bashir Ahmad,Sotiris K Ntouyas
• Publisher : World Scientific
• Release Date : 2021-04-06
• Total pages : 596
• ISBN : 0128036796

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 • Publisher : Springer
• Release Date : 2017-03-16
• Total pages : 414
• ISBN : 0128036796

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 ...

## 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

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 ...

## Mathematics and its Applications in New Computer Systems • Author : Andrei Tchernykh,Anatoly Alikhanov,Mikhail Babenko,Irina Samoylenko
• Publisher : Springer Nature
• Release Date : 2022-04-25
• Total pages : 580
• ISBN : 0128036796

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 ...

## Recent Advances in Intuitionistic Fuzzy Logic Systems • Author : Said Melliani,Oscar Castillo
• Publisher : Springer
• Release Date : 2018-10-09
• Total pages : 320
• ISBN : 0128036796

Summary : This book aims at providing an overview of state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. It covers topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations. ...