Fractional derivatives with Mittag-Leffler Kernel : trends and applications in science and engineering /
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| Imprint: | Cham, Switzerland : Springer, 2019. |
|---|---|
| Description: | 1 online resource (viii, 341 pages) : illustrations (some color) |
| Language: | English |
| Series: | Studies in systems, decision and control, 2198-4182 ; volume 194 Studies in systems, decision and control ; v. 194. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11792583 |
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| 245 | 0 | 0 | |a Fractional derivatives with Mittag-Leffler Kernel : |b trends and applications in science and engineering / |c José Francisco Gómez, Lizeth Torres, Ricardo Fabricio Escobar, editors. |
| 264 | 1 | |a Cham, Switzerland : |b Springer, |c 2019. | |
| 300 | |a 1 online resource (viii, 341 pages) : |b illustrations (some color) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Studies in systems, decision and control, |x 2198-4182 ; |v volume 194 | |
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed February 18, 2019). | |
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 520 | |a This book offers a timely overview of fractional calculus applications, with a special emphasis on fractional derivatives with Mittag-Leffler kernel. The different contributions, written by applied mathematicians, physicists and engineers, offers a snapshot of recent research in the field, highlighting the current methodological frameworks together with applications in different fields of science and engineering, such as chemistry, mechanics, epidemiology and more. It is intended as a timely guide and source of inspiration for graduate students and researchers in the above-mentioned areas. | ||
| 650 | 0 | |a Fractional calculus. |0 http://id.loc.gov/authorities/subjects/sh93004015 | |
| 650 | 7 | |a Fractional calculus. |2 fast |0 (OCoLC)fst00933515 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Gómez, José Francisco, |e editor. | |
| 700 | 1 | |a Torres, Lizeth, |e editor. | |
| 700 | 1 | |a Escobar, Ricardo Fabricio, |e editor. | |
| 776 | 0 | 8 | |i Printed edition: |z 9783030116613 |
| 776 | 0 | 8 | |i Printed edition: |z 9783030116637 |
| 830 | 0 | |a Studies in systems, decision and control ; |v v. 194. |x 2198-4182 |0 http://id.loc.gov/authorities/names/no2014053363 | |
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