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 …
Trends, directions for further research, and some open problems of fractional calculus
The area of fractional calculus (FC) has been fast develo** and is presently being applied
in all scientific fields. Therefore, it is of key relevance to assess the present state of …
in all scientific fields. Therefore, it is of key relevance to assess the present state of …
[BOOK][B] Basic theory of fractional differential equations
Y Zhou - 2023 - books.google.com
This accessible monograph is devoted to a rapidly develo** 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 …
[BOOK][B] Fractional calculus: models and numerical methods
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 …
differential operators including integrals and derivatives of any arbitrary real or complex …
[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 …
classes. In the following section we will present common generalizations for arbitrary …
[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 …
the special functions with respect to another function, and the integro-differential operators …
[BOOK][B] Local fractional integral transforms and their applications
Local Fractional Integral Transforms and Their Applications provides information on how
local fractional calculus has been successfully applied to describe the numerous …
local fractional calculus has been successfully applied to describe the numerous …
[BOOK][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 …
[BOOK][B] Fractional evolution equations and inclusions: Analysis and control
Y Zhou - 2016 - books.google.com
Fractional evolution inclusions are an important form of differential inclusions within
nonlinear mathematical analysis. They are generalizations of the much more widely …
nonlinear mathematical analysis. They are generalizations of the much more widely …
Application of residual power series method for the solution of time-fractional Schrödinger equations in one-dimensional space
O Abu Arqub - Fundamenta Informaticae, 2019 - content.iospress.com
The object of this article is to present the computational solution of the time-fractional
Schrödinger equation subject to given constraint condition based on the generalized Taylor …
Schrödinger equation subject to given constraint condition based on the generalized Taylor …