Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Bashir Ahmad is a professor in the Department of Mathematics at King Abdulaziz University, and in 2009 he was awarded Best Researcher of King Abdulaziz University. His field of research is differential equations and applications, specifically in topics such as set-valued differential equations, functional differential equations, stability analysis, and fluid mechanics. Ahmed Alsaedi is an associate professor and the chairman of the Department of Mathematics at King Abdulaziz University. Sotiris K. Ntouyas is professor emeritus in the Department of Mathematics at the University of Ioannina. He's published numerous books and articles throughout his career, including "Existence results for fractional order functional differential equations with infinite delay," which was awarded the "Top Cited Article 2005-2010" by the Journal of Mathematical Analysis & Applications. Jessada Tariboon is a professor in the Department of Mathematics at King Mongkut's University of Technology. He is an editor for King Mongkut's Universty of Technology's International Journal of Applied Science and Technology.

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.

"The book offers a comprehensive study of the above-mentioned problems, based, in a consistent manner, on the recent studies of the authors, as well as on some relevant results in fractional calculus literature of the last decade. ... a nice documented study, very useful for graduate and post-graduate students and for researchers interested in nonlinear applied analysis in general, and fractional analysis in particular." (Adrian Petrusel, Mathematical Reviews, November, 2017)

"In this nicely written monograph, the authors present a comprehensive treatment of the application of the Hadamard-type fractional derivative to both fractional differential equations and fractional differential inclusions. ... this book is very well written and is enjoyable to read. For researchers who have a basic grasp of the fundamentals of the fractional calculus, this book will provide a wealth of ideas for research projects and, more generally, hours of interesting and worthwhile reading." (Christopher Goodrich, zbMATH 1370.34002, 2017)