Some generalized fractional calculus operators and their applications in integral equations
OP Agrawal - Fractional Calculus and Applied Analysis, 2012 - Springer
In this paper, we survey some generalizations of fractional integrals and derivatives and
present some of their properties. Using these properties, we show that many integral …
present some of their properties. Using these properties, we show that many integral …
Concept of dynamic memory in economics
In this paper we discuss a concept of dynamic memory and an application of fractional
calculus to describe the dynamic memory. The concept of memory is considered from the …
calculus to describe the dynamic memory. The concept of memory is considered from the …
A Caputo fractional derivative of a function with respect to another function
R Almeida - Communications in Nonlinear Science and Numerical …, 2017 - Elsevier
In this paper we consider a Caputo type fractional derivative with respect to another function.
Some properties, like the semigroup law, a relationship between the fractional derivative …
Some properties, like the semigroup law, a relationship between the fractional derivative …
Fractional differential equations with a Caputo derivative with respect to a kernel function and their applications
This paper is devoted to the study of the initial value problem of nonlinear fractional
differential equations involving a Caputo‐type fractional derivative with respect to another …
differential equations involving a Caputo‐type fractional derivative with respect to another …
[PDF][PDF] Fractional Differentiation Inequalities
GA Anastassiou - 2009 - dspace.kottakkalfarookcollege.edu …
In 1991, although I had graduated in 1984, my great Ph. D. thesis advisor JHB Kemperman
recommended that I read the very interesting paper of J. Canavati [101], having to do with …
recommended that I read the very interesting paper of J. Canavati [101], having to do with …
Macroeconomic models with long dynamic memory: Fractional calculus approach
This article discusses macroeconomic models, which take into account effects of power-law
fading memory. The power-law long memory is described by using the mathematical tool of …
fading memory. The power-law long memory is described by using the mathematical tool of …
A brief story about the operators of the generalized fractional calculus
V Kiryakova - Fractional Calculus and Applied Analysis, 2008 - eudml.org
Abstract top 2000 Mathematics Subject Classification: 26A33, 33C60, 44A20In this survey
we present a brief history and the basic ideas of the generalized fractional calculus (GFC) …
we present a brief history and the basic ideas of the generalized fractional calculus (GFC) …
FMNSICS: Fractional Meyer neuro-swarm intelligent computing solver for nonlinear fractional Lane–Emden systems
The fractional neuro-evolution-based intelligent computing has substantial potential to solve
fractional order systems represented with Lane–Emden equation arising in astrophysics …
fractional order systems represented with Lane–Emden equation arising in astrophysics …
A fractional derivative with two singular kernels and application to a heat conduction problem
In this article, we suggest a new notion of fractional derivative involving two singular kernels.
Some properties related to this new operator are established and some examples are …
Some properties related to this new operator are established and some examples are …
Fractional derivatives and the fundamental theorem of fractional calculus
Y Luchko - Fractional Calculus and Applied Analysis, 2020 - degruyter.com
In this paper, we address the one-parameter families of the fractional integrals and
derivatives defined on a finite interval. First we remind the reader of the known fact that …
derivatives defined on a finite interval. First we remind the reader of the known fact that …