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Differintegral

Known as: Fractional integration, Differintegration of some elementary functions, Differintegration 
In fractional calculus, an area of applied mathematics, the differintegral is a combined differentiation/integration operator. Applied to a function… 
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Related topics

Related topics

3 relations
Autoregressive fractionally integrated moving averageFractional-order controlFractional-order integrator

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
On generalization of Fejér type inequalities via fractional integral operators
In this paper we first prove a new lemma for differentiable mapping via a fractional integral operator. Then, using lemma, we… 
2017
2017
SOME INEQUALITIES FOR THE GENERALIZED k-g-FRACTIONAL INTEGRALS OF FUNCTIONS UNDER COMPLEX BOUNDEDNESS CONDITIONS
Let g be a strictly increasing function on (a, b) , having a continuous derivative g′ on (a, b) . For the Lebesgue integrable… 
Review
2016
Review
2016
An overview of Fractional order PID Controllers and its Industrial applications
In this paper we introduce the different types of the Fractional Order PID controllers and presented some of its application to… 
2015
2015
$L^1$-Dini conditions and limiting behavior of weak type estimates for singular integrals
In 2006, Janakiraman [10] showed that if $\Omega$ with mean value zero on $S^{n-1}$ satisfies the condition \[ \sup_{|\xi|=1… 
2014
2014
A closed-form option pricing approximation formula for a fractional Heston model
We present a method to develop simple option pricing approximation formulas for a fractional Heston model, where the volatility… 
2012
2012
A multilinear generalisation of the Hilbert transform and fractional integration.
We study a multilinear analogue of the Hilbert transform. As can be expected, the finiteness of the form depends on cancellation… 
2008
2008
ADALINE based robust control in robotics: a Riemann-Liouville fractional differintegration based learning scheme
This paper presents an approach to improve the performance of intelligent sliding model control achieved by the use of a… 
2006
2006
QUASI-MAXIMUM LIKELIHOOD ESTIMATION OF LONG-MEMORY LIMITING AGGREGATE PROCESSES
We consider the application of the limiting aggregate model derived by Tsai and Chan (2005d) for modeling aggregated long-memory… 
2001
2001
Two-weighted norm inequalities for the fractional integral operator between L^p and Lipschitz spaces
1963
1963
SOME APPLICATIONS OF FRACTIONAL INTEGRATION
Abstract : Seeks to demonstrate the usefulness of fractional integrals in applied mathematics by presenting some of their… 
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