Fractional dynamic calculus and fractional dynamic equations on time scales. ([2018])

• Record Type: Book
• Further Information: Note: Svetlin G. Georgiev.
• Authors: Georgiev, Svetlin
• Contents: Intro; Preface; Contents; 1 Elements of Time Scale Calculus; 1.1 Forward and Backward Jump Operators, Graininess Function; 1.2 Differentiation; 1.3 Mean Value Theorems; 1.4 Integration; 1.5 The Exponential Function; 1.5.1 Hilger's Complex Plane; 1.5.2 Definition and Properties of the Exponential Function; 1.5.3 Examples for Exponential Functions; 1.6 Hyperbolic and Trigonometric Functions; 1.7 Dynamic Equations; 1.8 Power Series on Time Scales; 1.9 Advanced Practical Problems; 2 The Laplace Transform on Time Scales; 2.1 Definition and Properties 9.2 Inhomogeneous Caputo Fractional Dynamic Equations with Constant Coefficients9.3 Advanced Practical Problems; 10 Appendix: The Gamma Function; 10.1 Definition of the Gamma Function; 10.2 Some Properties of the Gamma Function; 10.3 Limit Representation of the Gamma Function; 11 Appendix: The Beta Function; 11.1 Definition of the Beta Function; 11.2 Properties of the Beta Function; 11.3 An Application; References; Index
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Copyright Date: 2018
• Extent: 1 online resource
• Subjects: 515.83; Mathematics; Fractional calculus; Dynamics -- Mathematics; Differential equations; Calculus; Integral Transforms; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Differential equations; Dynamics -- Mathematics; Fractional calculus; Science -- Mathematical Physics; Mathematics -- Mathematical Analysis; Mathematical physics; Integral calculus & equations; Mathematics -- Calculus; Calculus; Electronic books
• Languages: English
• ISBNs: 9783319739540; 3319739549
• Related ISBNs: 9783319739533; 3319739530
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed April 17, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.