Fractional derivatives with Mittag-Leffler Kernel : trends and applications in science and engineering /: trends and applications in science and engineering. (2019)

• Record Type: Book
• Further Information: Note: José Francisco Gómez, Lizeth Torres, Ricardo Fabricio Escobar, editors.
• Editors: Gómez, José Francisco; Torres, Lizeth; Escobar, Ricardo Fabricio
• Contents: Intro; Preface; Contents; Reproducing Kernel Method for Fractional Derivative with Non-local and Non-singular Kernel; 1 Introduction; 2 Fractional Derivative with Non-local and Non-singular Kernel; 3 Reproducing Kernel Hilbert Spaces; 4 Main Results; 5 Applications; 6 Conclusions; References; Necessary and Sufficient Optimality Conditions for Fractional Problems Involving Atangana-Baleanu's Derivatives; 1 Introduction; 2 Preliminaries; 3 Fractional Variational Principles Within Fractional Atangana-Baleanu's Derivatives; 4 The Fractional Canonical Momenta; 5 Some Generalization 5.1 Extension to Several Dependent Variables5.2 Extension to Variational Problems of Non-commensurate Order; 6 Fractional Variational Principles and Constrained Systems Within Atangana-Baleanu's Derivatives; 7 Sufficient Conditions; 8 Fractional Optimal Control Problem Involving Atangana-Baleanu's Derivatives; 9 Conclusions; References; Variable Order Mittag-Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations; 1 Introduction; 2 Fractional Sums and Differences of Variable Order; 3 Summation by Parts for Variable Order Fractional Operators 4 Variable Order Fractional Variational PrinciplesReferences; Modeling and Analysis of Fractional Leptospirosis Model Using Atangana-Baleanu Derivative; 1 Introduction; 2 Preliminaries; 3 Leptospirosis Model with AB Derivative; 4 Existence of Solutions for Fractional Leptospirosis Infection Model; 5 Numerical Results; 6 Conclusion; References; Dual Fractional Analysis of Blood Alcohol Model Via Non-integer Order Derivatives; 1 Introduction; 2 Fractional Modeling of Blood Alcohol Model; 3 Solution of the Fractional Blood Alcohol Model; 4 Results and Conclusions; References Parameter Estimation of Fractional Gompertz Model Using Cuckoo Search Algorithm1 Introduction; 2 Basic Definitions; 3 Cuckoo Search; 4 Tests; 5 Conclusions; References; Existence and Uniqueness Results for a Novel Complex Chaotic Fractional Order System; 1 Introduction; 2 New Fractional Derivative with Non-singular and Non-local Kernel; 3 Picard's Existence and Uniqueness Theorem for Atangana-Baleanu Fractional Complex System in Caputo Sense; 4 Numerical Scheme; 4.1 Numerical Scheme for a Complex Fractional Order System; 5 Conclusion; References On the Chaotic Pole of Attraction with Nonlocal and Nonsingular Operators in Neurobiology1 Introduction to the Model; 2 Some Definitions on the Non-integer Order Derivatives; 3 Generalities on the Haar Wavelets Method for Non-linear Differential Equations; 4 Haar Wavelets Numerical Method for the System (1); 5 Error Analysis and Convergence for the Numerical Approximation by Haar Wavelets Method; 6 Application to Particular Cases of HR Neuron with External Current Input; 7 Conclusion; References
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource (viii, 341 pages), illustrations (some color)
• Subjects: 515/.83; Fractional calculus; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030116620
• Related ISBNs: 303011662X; 9783030116613
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed February 18, 2019).
• 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.