A new collection of real world applications of fractional calculus in science and engineering
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 …
discussed and applied to real world applications in many branches of science and …
The role of fractional calculus in modeling biological phenomena: A review
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 …
calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple …
Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system
In this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …
[图书][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 …
the special functions with respect to another function, and the integro-differential operators …
Applications of variable-order fractional operators: a review
S Patnaik, JP Hollkamp… - Proceedings of the …, 2020 - royalsocietypublishing.org
Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …
recent years. The possibility of formulating evolutionary governing equations has led to the …
[图书][B] Mittag-Leffler functions, related topics and applications
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …
[图书][B] Basic theory of fractional differential equations
Y Zhou - 2023 - books.google.com
This accessible monograph is devoted to a rapidly developing area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …
qualitative theory of fractional ordinary differential equations and evolution equations. It is …
[图书][B] Fractional derivative modeling in mechanics and engineering
Classic Newtonian mechanics assumes that space and time are continuous everywhere.
The basic physical quantities (eg speed, acceleration and force) can be described by an …
The basic physical quantities (eg speed, acceleration and force) can be described by an …
[图书][B] General fractional derivatives with applications in viscoelasticity
General Fractional Derivatives with Applications in Viscoelasticity introduces the newly
established fractional-order calculus operators involving singular and non-singular kernels …
established fractional-order calculus operators involving singular and non-singular kernels …