Ahmad B., Alsaedi A., Ntouyas S.K., Tariboon J. Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Springer International Publishing AG, 2017. — 420 p. — ISBN10: 3319521403.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.Preliminaries
Initial and Boundary Value Problems of Fractional Order Hadamard-Type Functional Differential Equations and Inclusions
Nonlocal Hadamard Fractional Boundary Value Problems
Existence Results for Mixed Hadamard and Riemann-Liouville Fractional Integro-Differential Equations and Inclusions
Nonlocal Hadamard Fractional Integral Conditions and Nonlinear Riemann-Liouville Fractional Differential Equations and Inclusions
Coupled Systems of Hadamard and Riemann-Liouville Fractional Differential Equations with Hadamard Type Integral Boundary Conditions
Nonlinear Langevin Equation and Inclusions Involving Hadamard-Caputo Type Fractional Derivatives
Boundary Value Problems for Impulsive Multi-Order Hadamard Fractional Differential Equations
Initial and Boundary Value Problems for Hybrid Hadamard Fractional Differential Equations and Inclusions
Positive Solutions for Hadamard Fractional Differential Equations on Infinite Domain
Fractional Integral Inequalities via Hadamard’s Fractional Integral