Advanced fractional differential and integral equations / Said Abbas, Mouffak Benchohra and Gaston Mandata N'Guerekata (Morgan State University, MD, US).

By:

Abbas, Saīd [author.]

Contributor(s):

Material type: Text

TextSeries: Mathematics research developments seriesPublisher: Hauppauge, New York : Nova Science Publishers, Inc., 2014Description: 1 online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781634631327
1634631323

Subject(s):

Genre/Form:

Additional physical formats: Print version:: No titleDDC classification:

515/.83 23

LOC classification:

QA314

Online resources:

Click here to access online

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 EquationsChapter 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 DerivativeReferences; Index; Blank Page.

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.

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Includes bibliographical references and index.

Appendix A: Interpretations and Motivations for Fractional DerivativeReferences; Index; Blank Page.

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.

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