Items related to q-Fractional Calculus and Equations: 2056 (Lecture...
Synopsis
This nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings. It starts with elementary calculus of q-differences and integration of Jackson's type before turning to q-difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular q-Sturm-Liouville theory is also introduced; Green's function is constructed and the eigenfunction expansion theorem is given. The monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi. Hence fractional q-calculi of the types Riemann-Liouville; Grünwald-Letnikov; Caputo; Erdélyi-Kober and Weyl are defined analytically. Fractional q-Leibniz rules with applications in q-series are also obtained with rigorous proofs of the formal results of Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of q-fractional difference equations; families of q-Mittag-Leffler functions are defined and their properties are investigated, especially the q-Mellin-Barnes integral and Hankel contour integral representation of the q-Mittag-Leffler functions under consideration, the distribution, asymptotic and reality of their zeros, establishing q-counterparts of Wiman's results. Fractional q-difference equations are studied; existence and uniqueness theorems are given and classes of Cauchy-type problems are completely solved in terms of families of q-Mittag-Leffler functions. Among many q-analogs of classical results and concepts, q-Laplace, q-Mellin and q2-Fourier transforms are studied and their applications are investigated.
"synopsis" may belong to another edition of this title.
Review
From the reviews:
“This monograph briefly introduces q-calculus ... . The book is carefully and well written. Each chapter is introduced by an informative abstract. The bibliography is extensive and useful, and useful tables of formulas appear in appendices. This monograph is of interest to people who want to learn to do research in q-fractional calculus as well as to people currently doing research in q-fractional calculus.” (P. W. Eloe, Mathematical Reviews, April, 2013)"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2012
- ISBN 10 364230897X
- ISBN 13 9783642308970
- BindingPaperback
- LanguageEnglish
- Number of pages337
Search results for q-Fractional Calculus and Equations: 2056 (Lecture...
Seller Image
q-Fractional Calculus and Equations
Published by
Springer Berlin Heidelberg Aug 2012, 2012
ISBN 10: 364230897X
ISBN 13: 9783642308970
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings. It starts with elementary calculus of q-differences and integration of Jackson's type before turning to q-difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular q-Sturm-Liouville theory is also introduced; Green's function is constructed and the eigenfunction expansion theorem is given. The monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi. Hence fractional q-calculi of the types Riemann-Liouville; Grünwald-Letnikov; Caputo; Erdélyi-Kober and Weyl are defined analytically. Fractional q-Leibniz rules with applications in q-series are also obtained with rigorous proofs of the formal results of Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of q-fractional difference equations; families of q-Mittag-Leffler functions are defined and their properties are investigated, especially the q-Mellin-Barnes integral and Hankel contour integral representation of the q-Mittag-Leffler functions under consideration, the distribution, asymptotic and reality of their zeros, establishing q-counterparts of Wiman's results. Fractional q-difference equations are studied; existence and uniqueness theorems are given and classes of Cauchy-type problems are completely solved in terms of families of q-Mittag-Leffler functions. Among many q-analogs of classical results and concepts, q-Laplace, q-Mellin and q2-Fourier transforms are studied and their applications are investigated. 340 pp. Englisch. Seller Inventory # 9783642308970
Quantity: 2 available
Seller Image
Q-Fractional Calculus and Equations
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 18477592-n
Quantity: Over 20 available
Seller Image
Q-Fractional Calculus and Equations
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 18477592-n
Quantity: Over 20 available
Stock Image
q-Fractional Calculus and Equations
Published by
Springer Berlin Heidelberg, 2012
ISBN 10: 364230897X
ISBN 13: 9783642308970
Used
Softcover
Seller: Buchpark, Trebbin, Germany
Seller rating 5 out of 5 stars
Condition: Gut. Zustand: Gut - Buchschnitt verkürzt - Gebrauchs- und Lagerspuren - Ausgabejahr 2012 | Seiten: 340 | Sprache: Englisch | Produktart: Sonstiges. Seller Inventory # 22507669/13
Quantity: 1 available
Seller Image
q-Fractional Calculus and Equations
Published by
Springer Berlin Heidelberg, 2012
ISBN 10: 364230897X
ISBN 13: 9783642308970
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings. It starts with elementary calculus of q-differences and integration of Jackson's type before turning to q-difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular q-Sturm-Liouville theory is also introduced; Green's function is constructed and the eigenfunction expansion theorem is given. The monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi. Hence fractional q-calculi of the types Riemann-Liouville; Grünwald-Letnikov; Caputo; Erdélyi-Kober and Weyl are defined analytically. Fractional q-Leibniz rules with applications in q-series are also obtained with rigorous proofs of the formal results of Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of q-fractional difference equations; families of q-Mittag-Leffler functions are defined and their properties are investigated, especially the q-Mellin-Barnes integral and Hankel contour integral representation of the q-Mittag-Leffler functions under consideration, the distribution, asymptotic and reality of their zeros, establishing q-counterparts of Wiman's results. Fractional q-difference equations are studied; existence and uniqueness theorems are given and classes of Cauchy-type problems are completely solved in terms of families of q-Mittag-Leffler functions. Among many q-analogs of classical results and concepts, q-Laplace, q-Mellin and q2-Fourier transforms are studied and their applications are investigated. Seller Inventory # 9783642308970
Quantity: 1 available
Stock Image
q-Fractional Calculus and Equations
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 342. Seller Inventory # 2654506961
Quantity: 4 available
Stock Image
q-Fractional Calculus and Equations
Print on DemandSeller: Majestic Books, Hounslow, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Print on Demand pp. 342 6 Illus. Seller Inventory # 55052814
Quantity: 4 available
Stock Image
Q-Fractional Calculus and Equations
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 337 pages. 8.75x6.00x1.00 inches. In Stock. Seller Inventory # 364230897X
Quantity: 1 available
Stock Image
q-Fractional Calculus and Equations
Print on DemandSeller: Biblios, Frankfurt am main, HESSE, Germany
Seller rating 5 out of 5 stars
Condition: New. PRINT ON DEMAND pp. 342. Seller Inventory # 1854506971
Quantity: 4 available
Seller Image
q-Fractional Calculus and Equations
Published by
Springer Berlin Heidelberg, 2012
ISBN 10: 364230897X
ISBN 13: 9783642308970
New
Softcover
Seller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First detailed rigorous study of q-calculiFirst detailed rigorous study of q-difference equationsFirst detailed rigorous study of q-fractional calculi and equationsProofs of many classical unproved results are givenIllustrative examples and . Seller Inventory # 5056402
Quantity: Over 20 available