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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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Papers overview

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2017
2017
Let g be a strictly increasing function on (a, b) , having a continuous derivative g′ on (a, b) . For the Lebesgue integrable… 
2014
2014
We present a method to develop simple option pricing approximation formulas for a fractional Heston model, where the volatility… 
2012
2012
We study a multilinear analogue of the Hilbert transform. As can be expected, the finiteness of the form depends on cancellation… 
2012
2012
The solution of a singularly perturbed nonlinear system fractional integral (differential) equations of order ς, 0 < ς < 1 is… 
2011
2011
In this paper, a new theory of generalized micropolar thermoelasticity is derived by using fractional calculus. The generalized… 
2009
2009
In this paper, our aim is to study variational formulation and solutions of 2-dimensional integrodifferential equations of… 
1995
1995
The Hardy-Littlewood theorem on fractional integration for Fourier series says that if Iag Zn#O tnl-ak(n)eint, then I, is bounded… 
1984
1984
Let Ta be either the fractional integral operator ¡f(y)\x y\a~" dy, or the fractional maximal operator sup{/-"_"/|X._V|<r|/(y… 
1975
1975
In the field F of convolution quotients,  b∝ is the operator of integration of fractional order ∝ and b∝ f   Is the Riemann… 
1963
1963
Abstract : Seeks to demonstrate the usefulness of fractional integrals in applied mathematics by presenting some of their…