q-Fractional calculus and equations / Mahmoud H. Annaby, Zeinab S. Mansour.

By:

Annaby, Mahmoud H

Contributor(s):

Mansour, Zeinab S

Material type: Text

TextLanguage: English Series: Lecture notes in mathematics ; 2056. | Lecture notes in mathematics (Springer-Verlag) ; 2056.Publication details: Heidelberg ; London : Springer, c2012.Description: xix, 318 p. ; 24 cmISBN:

9783642308970
364230897X

Subject(s):

DDC classification:

515.83 ANN

Also published electronically.

Contents:

1 Preliminaries.- 2 q-Difference Equations.- 3 q-Sturm Liouville Problems.- 4 Riemann-Liouville q-Fractional Calculi.- 5 Other q-Fractional Calculi.- 6 Fractional q-Leibniz Rule and Applications.- 7 q-Mittag-Leffler Functions.- 8 Fractional q-Difference Equations.- 9 Applications of q-Integral Transforms.

Summary: Introduces a rigorous investigation of q-difference operators in standard and fractional settings. This monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
General Books	CUTN Central Library Sciences	Non-fiction	515.83 ANN (Browse shelf(Opens below))	Available		40099

Introduces a rigorous investigation of q-difference operators in standard and fractional settings. This monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi.

Includes bibliographical references (p. 303-314) and index.

Also published electronically.

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