Results 11 to 20 of about 6,121,976 (240)
Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals [PDF]
In this study, we first give an identity for local fractional integrals. We then make use of this identity in order to derive several generalizations of the celebrated Steffensen’s inequality associated with local fractional integrals.
Tuba Tunç +2 more
doaj +8 more sources
Exact local Whittle estimation of fractional integration [PDF]
An exact form of the local Whittle likelihood is studied with the intent of developing a general-purpose estimation procedure for the memory parameter (d) that does not rely on tapering or differencing prefilters. The resulting exact local Whittle estimator is shown to be consistent and to have the same N(0,{1/4}) limit distribution for all values of d
Shimotsu, Katsumi, Phillips, Peter C B
openaire +4 more sources
In this paper, we investigate the features of higher order Gubinelli derivatives of controlled rough paths having an arbitrary positive Holder index. There is used a notion of the (α, β)-rough map on the basis of which the sufficient conditions are given
Maksim M. Vaskovskii
doaj +1 more source
Research on Two Types of Fractional Integrals
: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we solve two types of fractional integrals. Complex power of fractional analytic function, product rule for fractional derivatives and a new multiplication of ...
Chii-Huei Yu
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Using Interval Recurrence Formula to Solve Two Improper Fractional Integrals
: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we use interval recurrence formula to solve two improper fractional integrals.
Chii-Huei Yu
core +1 more source
Fractional variational problems depending on indefinite integrals [PDF]
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Some New Fractal Milne-Type Integral Inequalities via Generalized Convexity with Applications
This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set.
Badreddine Meftah +3 more
doaj +1 more source
New Aspects of Bloch Model Associated with Fractal Fractional Derivatives
To model complex real world problems, the novel concept of non-local fractal-fractional differential and integral operators with two orders (fractional order and fractal dimension) have been used as mathematical tools in contrast to classical derivatives
Akgül Ali +2 more
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Abelian Groups of Fractional Operators
Taking into count the large number of fractional operators that have been generated over the years, and considering that their number is unlikely to stop increasing at the time of writing this paper due to the recent boom of fractional calculus ...
Anthony Torres-Hernandez +2 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
core +1 more source

