Results 11 to 20 of about 10,422 (254)

Fractional smoothness for the generalized local time of the indefinite Skorohod integral

open access: yesJournal of Functional Analysis, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zongxia Liang
exaly   +2 more sources

Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
doaj   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

open access: yesDemonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel   +3 more
doaj   +1 more source

Generalized Fractal Jensen–Mercer and Hermite–Mercer type inequalities via h-convex functions involving Mittag–Leffler kernel

open access: yesAlexandria Engineering Journal, 2022
In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral inequalities via integral operators pertaining Mittag-Leffler kernel. Also, we
Peng Xu   +4 more
doaj   +1 more source

Some Local Fractional Hilbert-Type Inequalities

open access: yesFractal and Fractional, 2023
The main purpose of this paper is to prove some new local fractional Hilbert-type inequalities. Our general results are applicable to homogeneous kernels.
Predrag Vuković
doaj   +1 more source

On Feng Qi-type integral inequalities for local fractional integrals

open access: yesNew Trends in Mathematical Science, 2022
In this paper, we establish the generalized Qi-type inequality involving local fractional integrals on fractal sets R α (0 < α < 1) of real line numbers. Some applications for special means of fractal sets R α are also given. The results presented here would provide extensions of those given in earlier works.
AKKURT, ABDULLAH   +3 more
openaire   +3 more sources

Local fractional Elzaki transform and its application to local fractional differential equations

open access: yesJournal of New Results in Science, 2021
The objective of our work is to couple the Elzaki transform method and the local fractional derivative which is called local fractional Elzaki transform, where we have provided important results of this transformation as local fractional Laplace-Elzaki ...
Mountassir Hamdi Cherif, Djelloul Ziane
doaj   +1 more source

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

Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives

open access: yesFractal and Fractional, 2023
In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman   +6 more
doaj   +1 more source

High-Order Schemes for Nonlinear Fractional Differential Equations

open access: yesFractal and Fractional, 2022
We propose high-order schemes for nonlinear fractional initial value problems. We split the fractional integral into a history term and a local term. We take advantage of the sum of exponentials (SOE) scheme in order to approximate the history term.
Omar Alsayyed   +3 more
doaj   +1 more source

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