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Book Cover
E-book
Author Abbas, Saīd.

Title Topics in fractional differential equations / Saïd Abbas, Mouffak Benchohra, Gaston M. N'Guérékata
Published New York, NY : Springer, ©2012

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Description 1 online resource (xiii, 396 pages)
Series Developments in mathematics, 1389-2177 ; v. 27
Developments in mathematics ; v. 27.
Contents Introduction -- Preliminary Background -- Partial Hyperbolic Functional Differential Equations -- Partial Hyperbolic Functional Differential Inclusions -- Impulsive Partial Hyperbolic Functional Differential Equations -- Impulsive Partial Hyperbolic Functional Differential Inclusions -- Implicit Partial Hyperbolic Functional Differential Equations -- Fractional Order Riemann-Liouville Integral Equations
Summary "Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. In this book, problems are studied using the fixed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. An historical introduction to fractional calculus will be of general interest to a wide range of researchers. Chapter one contains some preliminary background results. The second Chapter is devoted to fractional order partial functional differential equations. Chapter three is concerned with functional partial differential inclusions, while in the fourth chapter, we consider functional impulsive partial hyperbolic differential equations. Chapter five is concerned with impulsive partial hyperbolic functional differential inclusions. Implicit partial hyperbolic differential equations are considered in Chapter six, and finally in Chapter seven, Riemann-Liouville fractional order integral equations are considered. Each chapter concludes with a section devoted to notes and bibliographical remarks. The work is self-contained but also contains questions and directions for further research."--Publisher's website
Analysis Mathematics
Functional equations
Differential equations, partial
Difference and Functional Equations
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Fractional calculus.
Differential equations, Partial.
Mathematics.
Mathematical Concepts
Mathematics
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Ecuaciones en derivadas parciales
Matemáticas
Mathematics
Differential equations, Partial
Fractional calculus
Form Electronic book
Author Benchohra, M. (Mouffak)
N'Guerekata, Gaston M., 1953-
ISBN 9781461440369
146144036X