Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

• Main Authors: Ahmad, Bashir (Author), Alsaedi, Ahmed (Author), Ntouyas, Sotiris K. (Author), Tariboon, Jessada (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Numerical analysis.; Analysis.; Numerical Analysis.

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 relat...

Table of Contents:

• 1. Preliminaries
• 2. IVP and BVP for Hadamard-type differential equations and inclusions
• 3. Nonlocal Hadamard fractional boundary value problems
• 4. Fractional integro-differential equations and inclusions
• 5. Fractional differential equations with Hadamard fractional integral conditions
• 6. Hadamard type coupled systems of fractional differential equations
• 7. Nonlinear Langevin equation and inclusions of Hadamard-Caputo type
• 8. Impulsive multi-order Hadamard fractional differential equations
• 9. IVP and BVP for Hybrid Hadamard Fractional Differential Equations and Inclusions
• 10. Positive solutions for Hadamard fractional differential equations on infinite domain
• 11. Fractional integral inequalities via Hadamard's fractional integral
• References
• Index.