Implicit Fractional Differential and Integral Equations ：Existence and Stability ( De Gruyter Series in Nonlinear Analysis and Applications )

Publication subTitle ：Existence and Stability

Publication series ： De Gruyter Series in Nonlinear Analysis and Applications

Author： Abbas Saïd;Benchohra Mouffak;Graef John R.  

Publisher： De Gruyter‎

Publication year： 2018

E-ISBN: 9783110553819

P-ISBN(Paperback): 9783110553130

Subject： O175 differential equations, integral equations

Keyword： 数值分析,微分方程、积分方程

Language： ENG

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Description

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.

Please submit book proposals to Jürgen Appell.

Chapter

Preface

Contents

Introduction

1 Preliminary Background

2 Nonlinear Implicit Fractional Differential Equations

3 Impulsive Nonlinear Implicit Fractional Differential Equations

4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations

5 Boundary Value Problems for Impulsive NIFDE

6 Integrable Solutions for Implicit Fractional Differential Equations

7 Partial Hadamard Fractional Integral Equations and Inclusions

8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions

9 Hadamard–Stieltjes Fractional Integral Equations

10 Ulam Stabilities for Random Hadamard Fractional Integral Equations

Bibliography

Index

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