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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.
2016
2016
Some generalized Ostrowski type inequalities involving local fractional integrals and applications
In this paper, we establish the generalized Ostrowski type inequality involving local fractional integrals on fractal sets Rα(0… 
2015
2015
Some new results using Hadamard fractional integral
Fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and… 
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… 
2011
2011
Fractional integration: A comparative analysis of fractional integrators
The fractional integrator is certainly the key operator of fractional calculus, because of its fundamental applications in… 
2009
2009
TESTING FOR GENERAL FRACTIONAL INTEGRATION IN THE TIME DOMAIN
We propose a family of least-squares–based testing procedures that look to detect general forms of fractional integration at the… 
2008
2008
A fractional calculus interpretation of the fractional volatility model
Based on criteria of mathematical simplicity and consistency with empirical market data, a model with volatility driven by… 
Highly Cited
2007
Highly Cited
2007
Long-run and cyclical dynamics in the US stock market
This paper examines the long-run dynamics and the cyclical structure of various series related to the US stock market using… 
1997
1997
Fractional integration with drift: estimation in small samples
We examine the finite-sample behavior of estimators of the order of integration in a fractionally integrated time-series model… 
Highly Cited
1994
Highly Cited
1994
Wavelet Methods For The Inversion Of Certain Homogeneous Linear Operators In The Presence Of Noisy D
In this dissertation we explore the use of wavelets in certain linear inverse problems with discrete, noisy data. We observe… 
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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