Results 11 to 20 of about 6,121,976 (240)

Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals [PDF]

open access: yesInternational Journal of Analysis and Applications, 2017
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]

open access: yesThe Annals of Statistics, 2005
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

On the uniqueness of higher order Gubinelli derivatives and an analogue of the Doob – Meyer theorem for rough paths of the arbitrary positive Holder index

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2022
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

open access: yes, 2022
: 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
core   +1 more source

Using Interval Recurrence Formula to Solve Two Improper Fractional Integrals

open access: yes, 2023
: 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]

open access: yes, 2012
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
core   +1 more source

Some New Fractal Milne-Type Integral Inequalities via Generalized Convexity with Applications

open access: yesFractal and Fractional, 2023
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

open access: yesNonlinear Engineering, 2021
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
doaj   +1 more source

Abelian Groups of Fractional Operators

open access: yesComputer Sciences & Mathematics Forum, 2022
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
doaj   +1 more source

Fractional variational problems with the Riesz-Caputo derivative [PDF]

open access: yes, 2012
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

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