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Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

  • Bashir Ahmad
  • Ahmed Alsaedi
  • Sotiris K. Ntouyas
  • Jessada Tariboon
Book

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon
    Pages 1-11
  3. Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon
    Pages 13-43
  4. Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon
    Pages 45-86
  5. Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon
    Pages 87-108
  6. Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon
    Pages 209-261
  7. Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon
    Pages 263-295
  8. Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon
    Pages 297-330
  9. Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon
    Pages 331-346
  10. Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon
    Pages 347-401
  11. Back Matter
    Pages 403-414

About this book

Introduction

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 derivative and Riemann-Liouville fractional integrals. In later chapters, the authors discuss nonlinear Langevin equations as well as coupled systems of Langevin equations with fractional integral conditions. Focused and thorough, this book is a useful resource for readers and researchers interested in the area of fractional calculus.

Keywords

Functional Differential Equations Inclusions Inequalities Boundary Value Problems Fixed Point Theory Hadamard

Authors and affiliations

  • Bashir Ahmad
    • 1
  • Ahmed Alsaedi
    • 2
  • Sotiris K. Ntouyas
    • 3
  • Jessada Tariboon
    • 4
  1. 1.Department of MathematicsKing Abdulaziz UniversityJeddahSaudi Arabia
  2. 2.Department of MathematicsKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of MathematicsUniversity of IoanninaIoanninaGreece
  4. 4.Department of MathematicsKing Mongkut’s University of Technology North BangkokBangkokThailand

Bibliographic information

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