Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-84831-0
• Softcover reprint of the original 1st ed. 2017
• Seitenzahl: 428
• Erscheinungstermin: 4. Mai 2018
• Englisch
• Abmessung: 235mm x 155mm x 24mm
• Gewicht: 652g
• ISBN-13: 9783319848310
• ISBN-10: 3319848313
• Artikelnr.: 53570200

Autorenporträt

Bashir Ahmad is Full Professor of Mathematics at King Abdulaziz University, Jeddah, Saudi Arabia. He received his Ph.D. degree from Quaid-i-Azam University, Islamabad, Pakistan in 1995. His research interest includes existence theory and approximate/numerical methods for nonlinear boundary value problems involving a variety of differential equations, and applied mathematics. He was honored with "Best Researcher of King Abdulaziz University" award in 2009. He supervised several Ph.D. and M.Phil./M.Sc. students. He has published 6 books and more than 745 research articles in JCR journals. His H-index is 65. He is the Managing Editor of Bulletin of Mathematical Sciences and member of editorial boards of several journals. He has been "Highly Cited Researcher" in the category of Mathematics from 2014 to 2019 (Clarivate Analytics Database). He was the top 1% of reviewers in Mathematics on Publons for the 2018 and 2019 global Peer Review Awards. He was included in the World's Top 2% Researchers Database by Stanford University from 2019 to 2023. Sotiris K. Ntouyas is Professor Emeritus in the Department of Mathematics of the University of Ioannina, Greece. He received his BS degree and PhD from the University of Ioannina, in 1972 and 1980, respectively. His research interests include initial and boundary value problems for differential equations and inclusions, inequalities, asymptotic behavior and controllability. More than 800 of his papers have appeared in refereed journals. He is the co-author of five books. He is a member of 21 international journals' Editorial Boards, and a reviewer for many international journals. He appears in the 2018 list, published by Clarivate Analytics, of Highly Cited Researchers, and appears in the World's Top 2% Researcher lists 2019-2023 of Stanford University Database.

Inhaltsangabe

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.

Rezensionen

"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)