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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… Expand
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Highly Cited
2017
Highly Cited
2017
  • Ricardo Almeida
  • Commun. Nonlinear Sci. Numer. Simul.
  • 2017
  • Corpus ID: 119322291
Abstract In this paper we consider a Caputo type fractional derivative with respect to another function. Some properties, like… Expand
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Highly Cited
2014
Highly Cited
2014
We give a new definition of fractional derivative and fractional integral. The form of the definition shows that it is the most… Expand
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Highly Cited
2014
Highly Cited
2014
The author (Appl. Math. Comput. 218:860-865, 2011) introduced a new fractional integral operator given by, � I � a+f � (x) = � 1… Expand
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Highly Cited
2011
Highly Cited
2011
In this paper, we consider the existence and multiplicity of posi- tive solutions for the nonlinear fractional dierential… Expand
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Highly Cited
2010
Highly Cited
2010
Fractional (non-integer order) calculus can provide a concise model for the description of the dynamic events that occur in… Expand
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Highly Cited
2006
Highly Cited
2006
We provide a simple, yet highly effective framework for forecasting return volatility by combining exponential generalized… Expand
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Highly Cited
2000
Highly Cited
2000
Recent empirical studies have argued that the temporal dependencies in "nancial market volatility are best characterized by long… Expand
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Highly Cited
1999
Highly Cited
1999
A process for regenerating a selective oxidizer bed, by the introduction of oxygen is provided. In a single oxidizer bed… Expand
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Highly Cited
1996
Highly Cited
1996
Abstract The new class of Fractionally Integrated Generalized AutoRegressive Conditionally Heteroskedastic (FIGARCH) processes is… Expand
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1981
1981
The Whittaker-Shannon cardinal series dictates that any L 2 bandlimited signal is defined everywhere by its (sufficiently closely… Expand
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