A new collection of real world applications of fractional calculus in science and engineering

HG Sun, Y Zhang, D Baleanu, W Chen… - … in Nonlinear Science and …, 2018 - Elsevier
Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …

Review of fractional PID controller

P Shah, S Agashe - Mechatronics, 2016 - Elsevier
Fractional calculus has been studied for over three centuries, and it has multifarious
applications in science and engineering. This review investigates its progress since the first …

[BOOK][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

[BOOK][B] Fractional calculus: models and numerical methods

D Baleanu, K Diethelm, E Scalas, JJ Trujillo - 2012 - books.google.com
The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system

D Baleanu, SS Sajjadi, JH Asad, A Jajarmi… - Advances in Difference …, 2021 - Springer
In this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …

[BOOK][B] Fractional calculus: an introduction for physicists

R Herrmann - 2011 - World Scientific
Up to now we have introduced a fractional derivative definition for special simple function
classes. In the following section we will present common generalizations for arbitrary …

The role of fractional calculus in modeling biological phenomena: A review

C Ionescu, A Lopes, D Copot, JAT Machado… - … in Nonlinear Science …, 2017 - Elsevier
This review provides the latest developments and trends in the application of fractional
calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple …

[BOOK][B] General fractional derivatives: theory, methods and applications

XJ Yang - 2019 - taylorfrancis.com
General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

[PDF][PDF] A review of definitions for fractional derivatives and integral

EC Oliveira, JA Machado - Mathematical Problems in Engineering, 2014 - recipp.ipp.pt
A Review of Definitions for Fractional Derivatives and Integral Page 1 See discussions, stats,
and author profiles for this publication at: https://www.researchgate.net/publication/275071882 …