[图书][B] Theory and numerical approximations of fractional integrals and derivatives
C Li, M Cai - 2019 - SIAM
Fractional calculus, which has two main features—singularity and nonlocality from its origin—
means integration and differentiation of any positive real order or even complex order. It has …
means integration and differentiation of any positive real order or even complex order. It has …
Numerical approaches to fractional integrals and derivatives: a review
M Cai, C Li - Mathematics, 2020 - mdpi.com
Fractional calculus, albeit a synonym of fractional integrals and derivatives which have two
main characteristics—singularity and nonlocality—has attracted increasing interest due to its …
main characteristics—singularity and nonlocality—has attracted increasing interest due to its …
[图书][B] The variable-order fractional calculus of variations
This book intends to deepen the study of the fractional calculus, giving special emphasis to
variable-order operators. Fractional calculus is a recent field of mathematical analysis, and it …
variable-order operators. Fractional calculus is a recent field of mathematical analysis, and it …
Recent history of fractional calculus
Recent history of fractional calculus - ScienceDirect Skip to main contentSkip to article Elsevier
logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
[HTML][HTML] Fractional-order derivatives and integrals: Introductory overview and recent developments
HM Srivastava - Kyungpook Mathematical Journal, 2020 - kmj.knu.ac.kr
The subject of fractional calculus (that is, the calculus of integrals and derivatives of any
arbitrary real or complex order) has gained considerable popularity and importance during …
arbitrary real or complex order) has gained considerable popularity and importance during …
Variable-order fractional calculus: A change of perspective
Several approaches to the formulation of a fractional theory of calculus of “variable order”
have appeared in the literature over the years. Unfortunately, most of these proposals lack a …
have appeared in the literature over the years. Unfortunately, most of these proposals lack a …
Fractional calculus: Theory and applications
F Mainardi - Mathematics, 2018 - mdpi.com
Fractional calculus is allowing integrals and derivatives of any positive order (the term
fractional is kept only for historical reasons). It can be considered a branch of mathematical …
fractional is kept only for historical reasons). It can be considered a branch of mathematical …
[图书][B] Handbook of fractional calculus with applications
FractionalCalculus (FC) originatedin1695, nearlyatthesametimeastheconventional calculus.
However, FC attracted limited attention and remained a pure mathematical exercise in spite …
However, FC attracted limited attention and remained a pure mathematical exercise in spite …
[图书][B] Theory and applications of fractional differential equations
AA Kilbas, HM Srivastava, JJ Trujillo - 2006 - books.google.com
This monograph provides the most recent and up-to-date developments on fractional
differential and fractional integro-differential equations involving many different potentially …
differential and fractional integro-differential equations involving many different potentially …
[图书][B] Discrete fractional calculus
C Goodrich, AC Peterson - 2015 - Springer
The continuous fractional calculus has a long history within the broad area of mathematical
analysis. Indeed, it is nearly as old as the familiar integer-order calculus. Since its inception …
analysis. Indeed, it is nearly as old as the familiar integer-order calculus. Since its inception …