Fractional differential equations : a coincidence degree approach / Mouffak Benchohra [and three others].

Format:

Book

Author/Creator:

Benchohra, Mouffak, author.

Series:

Fractional calculus in applied sciences and engineering ; Volume 12.

Fractional Calculus in Applied Sciences and Engineering Series ; Volume 12

Language:

English

Subjects (All):

Fractional differential equations.

Approximation theory.

Physical Description:

1 online resource (336 pages)

Place of Publication:

Berlin, Germany : Walter de Gruyter GmbH, Berlin/Boston, [2024]

Summary:

This book is devoted to the existence and uniqueness results for various classes of problems with periodic conditions. All of the problems in this book deal with fractional differential equations and some fractional derivatives such as the Riemann-Liouville, Caputo and Hilfer fractional derivatives. Classical fixed point theorems as well as the coincidence degree theory of Mawhin are employed as tools.

Contents:

Intro

Preface

Contents

1 Introduction

2 Preliminary background

3 Caputo-type fractional differential equations

4 ψ-Caputo fractional integro-differential equations

5 Nonlinear fractional pantograph differential equations with ψ-Caputo derivative

6 Nonlinear ψ-Caputo fractional pantograph coupled systems

7 Nonlinear fractional differential equations with ψ-Hilfer fractional derivative

8 ψ-Hilfer fractional pantograph-type differential equations

9 Nonlinear ψ-Hilfer fractional coupled systems

10 k-Generalized ψ-Hilfer fractional differential equations with periodic conditions

11 Nonlinear implicit k-generalized ψ-Hilfer fractional coupled systems

Bibliography

Index.

Notes:

Description based on print version record.

Includes bibliographical references and index.

ISBN:

3-11-133438-4