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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… 
2017
2017
We consider the boudedness of fractional integral operators on localized (central) Morrey spaces and investigate the relation… 
Review
2016
Review
2016
In this paper we introduce the different types of the Fractional Order PID controllers and presented some of its application to… 
2014
2014
We present a method to develop simple option pricing approximation formulas for a fractional Heston model, where the volatility… 
2014
2014
In this thesis we studied fractional order derivative and integral. In Chapter1, a brief history on the foundation of fractional… 
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… 
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… 
1963
1963
Abstract : Seeks to demonstrate the usefulness of fractional integrals in applied mathematics by presenting some of their…