Fractional Differential Equations And Inclusions: Classical And Advanced Topics

This monograph explores the existence and stability of solutions for functional differential equations with Hadamard or Hilfer fractional derivatives,including equations with delay and impulsive effects. It provides a unified presentation with background material and examples,using classical and modern nonlinear analysis methods. It is useful for researchers and graduate students in applied sciences.

Format: Hardback
Length: 328 pages
Publication date: 24 February 2023
Publisher: World Scientific Publishing Co Pte Ltd

This monograph delves into the realm of solutions for diverse classes of functional differential equations (FDEs) or inclusions involving the Hadamard or Hilfer fractional derivative. Within these equations, certain challenges arise, such as the presence of delay that can be finite, infinite, or state-dependent, as well as the impact of impulsive effects that may be fixed or non-instantaneous. The book aims to provide a comprehensive and unified presentation, offering readers a solid foundation to delve deeper into the subject. It encompasses the necessary background material and extensively explores the extensive research literature in detail. Each chapter concludes with a section dedicated to notes and bibliographical remarks, while abstract results are illustrated through examples. The tools employed encompass a range of classical and modern nonlinear analysis methods, including fixed-point theorems, notions of Ulam stability, attractivity, and non-compactness, as well as weak noncompactness. This monograph finds utility for researchers and graduate students engaged in research, seminars, and advanced graduate courses across pure and applied mathematics, physics, mechanics, engineering, biology, and various other applied sciences.

Weight: 614g
Dimension: 157 x 237 x 24 (mm)
ISBN-13: 9789811261251