Advanced fractional differential and integral equations / Said Abbas, Mouffak Benchohra and Gaston Mandata N'Guerekata.

Format:

Book

Author/Creator:

Abbas, Saīd, author.

Benchohra, Mouffak, author.

N'Guerekata, Gaston M., 1953- author.

Series:

Mathematics research developments series.

Mathematics Research Developments

Language:

English

Subjects (All):

Fractional differential equations.

Fractional integrals.

Physical Description:

1 online resource (414 p.)

Place of Publication:

New York, [New York] : Nova Publishers, 2015.

Language Note:

English

Summary:

Fractional calculus deals with extensions of derivatives and integrals to non-integer orders. It represents a powerful tool in applied mathematics to study a myriad of problems from different fields of science and engineering, with many break-through results found in mathematical physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, astrophysics, cosmology and bioengineering. This book is devoted to the existence and uniqueness of solutions and some Ulam's type stability concepts for various classes of functional differential and integral equations of

Contents:

""ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS""; ""ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS""; ""Library of Congress Cataloging-in-Publication Data""; ""Dedication""; ""Contents""; ""Preface""; ""Introduction""; ""Chapter 1: Preliminary Background""; ""Chapter 2: Nonlinear Differential Equations of Fractional Order""; ""Chapter 3: Fractional Order Riemann-Liouville Integral Equations""; ""Chapter 4: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Integral Equations""

""Chapter 5: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Delay Integral Equations""""Chapter 6: Fractional Order Riemann-Liouville Integro-Differential Equations""; ""Chapter 7: Fractional Order Riemann-Liouville Delay Integro-Differential Equations""; ""Chapter 8: Abstract Integral Equations""; ""Chapter 9: Abstract Integro-Differential Equations""; ""Chapter 10: Abstract Integro-Differential Inclusions""; ""Chapter 11: Weak Solutions for Nonlinear Fractional Differential Equations""; ""Chapter 12: Weak Solutions for Nonlinear Fractional Differential Inclusions""

""Chapter 13: Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Equations and Inclusions""""Appendix A: Interpretations and Motivations for Fractional Derivative""; ""References""; ""Index""; ""Blank Page""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9781634631327

1634631323

OCLC:

899576388