Professorinnen, Professoren und Lehrkräfte :: Technische Hochschule Würzburg-Schweinfurt

Lehrgebiete

Mathematik

Angewandte Informatik

Publikationen

ORCID

Meine ORCID-ID: 0000-0002-7276-454X

referierte Veröffentlichungen in Zeitschriften und Sammelbänden

1994-2017

Eine Liste meiner vor meinem Wechsel an die THWS entstandenen Publikationen findet sich hier.

2018

(mit N. J. Ford)
A Note on the Well-posedness of Terminal Value Problems for Fractional Differential Equations.
J. Integral Equations Appl. 30 (2018), 371-376.
Abstract und Link zum Volltext
Numerical Methods for the Fractional Differential Equations of Viscoelasticity.
In H. Altenbach, A. Öchsner (Eds.): Encyclopedia of Continuum Mechanics. Springer, Berlin, 2018.
Abstract und Link zum Volltext

2019

General Theory of Caputo-Type Fractional Differential Equations.
In A. Kochubei, Y. Luchko (Eds.): Handbook of Fractional Calculus with Applications, Vol. 2: Fractional Differential Equations.
De Gruyter, Berlin, 2019, pp. 1-20.
Abstract und Link zum Volltext
Fundamental Approaches for the Numerical Handling of Fractional Operators and Time-Fractional Differential Equations.
In G. E. Karniadakis (Ed.): Handbook of Fractional Calculus with Applications, Vol. 3: Numerical Methods.
De Gruyter, Berlin, 2019, pp. 1-22.
Abstract und Link zum Volltext

2020

(mit P. G. Kjeldsberg, R. Schöne, M. Gerndt, L. Riha, V. Kannan, M.-C. Sawley, J. Zapletal, A. Gocht, N. Reissmann, O. Vysocki, M. Kumaraswamy & W. E. Nagel)
Run-time Exploitation of Application Dynamism for Energy-efficient Exascale Computing.
In F. Catthoor, T. Basten, N. Zompakis, M. Geilen & P. G. Kjeldsberg (Eds.): System-Scenario-based Design Principles and Applications.
Springer International, Cham (2020), 113-126.
Abstract und Link zum Volltext
(mit R. Garrappa & M. Stynes)
Good (and Not So Good) Practices in Computational Methods for Fractional Calculus.
Mathematics 8 (2020), Article No. 324.
Abstract
Volltext (PDF)
(mit R. Garrappa, A. Giusti & M. Stynes)
Why Fractional Derivatives with Nonsingular Kernels Should Not Be Used.
Fract. Calc. Appl. Anal. 23 (2020), 610-634.
Abstract und Link zum Volltext
Volltext bei arXiv.org

2021

Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials.
In Proc. 9th International Conference on Systems and Control (ICSC 2021).
IEEE, Piscataway, 2021, pp. 455-460.
Volltext
(mit M. Kumaraswamy, A. Chowdhury, A. Gocht, J. Zapletal, L. Riha, M.-C. Sawley, M. Gerndt, N. Reissmann, O. Vysocky, O. Bouizi, P. G. Kjeldsberg, R. Carreras, R. Schöne, U. S. Mian, V. Kannan & W. E. Nagel)
Saving Energy Using the READEX Methodology.
In H. Mix, C. Niethammer, H. Zhou, W. E. Nagel & M. M. Resch (Eds.): Tools for High Performance Computing 2018/2019.
Springer, Cham (2021), 27-53.
Volltext

2022

(mit K. Kitzing, R. Picard, S. Siegmund, S. Trostorff & M. Waurick)
A Hilbert Space Approach to Fractional Differential Equations.
J. Dyn. Differ. Equations 34 (2022), 481-504.
Volltext
(mit V. Kiryakova, Y. Luchko, J. A. T. Machado & V. E. Tarasov)
Trends, directions for further research, and some open problems of fractional calculus.
Nonlinear Dynam. 107 (2022), 3245-3270.
Volltext
(mit H. T. Tuan)
Upper and lower estimates for the separation of solutions to fractional differential equations.
Fract. Calc. Appl. Anal., 25 (2022), 166-180.
Volltext
A new diffusive representation for fractional derivatives, Part II: Convergence analysis of the numerical scheme.
Mathematics 10 (2022), Article No. 1245.
Volltext
(mit H. D. Thai & H. T. Tuan)
Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems.
Fract. Calc. Appl. Anal. 25 (2022), 1324-1360.
Volltext
(mit S. B. Damelin)
An analytic and numerical analysis of weighted singular Cauchy integrals with exponential weights on R.
Numer. Funct. Anal. Optim. 43 (2022), 1538-1577.
Volltext

2023

A new diffusive representation for fractional derivatives, Part I: Construction, implementation and numerical examples.
In A. Cardone, M. Donatelli, F. Durastante, R. Garrappa, M. Mazza & M. Popolizio (Eds.): Fractional Differential Equations: Modeling, Discretization, and Numerical Solvers.
Springer Nature, Singapore, 2023, pp. 1-15.
Volltext
Diffusive representations for the numerical evaluation of fractional integrals.
In Proc. 2023 International Conference on Fractional Differentiation and its Applications.
IEEE, Piscataway, 2023.
Volltext
(mit F. Uhlig)
A new approach to shooting methods for terminal value problems of fractional differential equations.
J. Sci. Comput. 97 (2023), Article No. 38.
Volltext
zugehörige Software als MATLAB-Quellcode

2024

(mit R. Chaudhary & S. Hashemishahraki)
On the separation of solutions to fractional differential equations of order $\alpha \in (1,2)$.
Appl. Numer. Math. 203 (2024), 84-96.
Volltext
(mit S. Hashemishahraki, H. D. Thai & H. T. Tuan)
A constructive approach for investigating the stability of incommensurate fractional differential systems.
J. Math. Anal. Appl. 540 (2024), Article No. 128642.
Volltext
(mit S. Hashemishahraki, H. D. Thai & H. T. Tuan)
Stability properties of multi-order fractional differential systems in 3D.
IFAC PapersOnLine 58-12 (2024), 231–236.
Corrigendum: arXiv:2312.10653.
Volltext
(mit R. Chaudhary)
Novel variants of diffusive representation of fractional integrals: Construction and numerical computation.
IFAC PapersOnLine 58-12 (2024), 412-417.
Volltext
(mit R. Chaudhary)
Revisiting diffusive representations for enhanced numerical approximation of fractional integrals.
IFAC PapersOnLine 58-12 (2024), 418-423.
Volltext
Shooting Methods for Fractional Dirichlet-Type Boundary Value Problems of Order $\alpha \in (1,2)$ With Caputo Derivatives.
Erscheint in J. Ball, H.-O. Tylli & J. A. Virtanen (Eds.): Recent Developments in Operator
Theory, Mathematical Physics and Complex Analysis—IWOTA 2023, Helsinki. Birkhäuser, Cham.
Volltext (Preprint)
zugehörige Software als MATLAB-Quellcode

2025

Bücher

The Analysis of Fractional Differential Equations — An application-oriented exposition using differential operators of Caputo type.
Springer, Berlin (2010), viii+247 pp., ISBN 978-3-642-14573-5.
(mit D. Baleanu, E. Scalas und J. J. Trujillo)
Fractional Calculus — Models and numerical methods.
1. Auflage, World Scientific Publ. Comp., Singapore (2012), xxiv+400 pp., ISBN 978-981-4355-20-9.
2. Auflage, World Scientific Publ. Comp., Singapore (2016), xxviii+448 pp., ISBN 978-981-3140-03-5.
Gemeinschaftliches Entscheiden — Untersuchung von Entscheidungsverfahren mit mathematischen Hilfsmitteln.
Springer, Berlin (2016), ix+138 pp., ISBN 978-3-662-48779-2.

Tagungsvorträge