Results 21 to 30 of about 49,276 (273)
On Feng Qi-type integral inequalities for local fractional integrals
New 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.
SARIKAYA, MEHMET ZEKİ +3 more
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Intersection local times of fractional Brownian motions with $H\in(0,1)$ as generalized white noise functionals [PDF]
, 2008 In $\R^d$, for any dimension $d\geq 1$, expansions of self-intersection local times of fractional Brownian motions with arbitrary Hurst coefficients in $(0,1)$ are presented.
Christopher C. Bernido +4 more
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Some New Fractal Milne-Type Integral Inequalities via Generalized Convexity with Applications
Fractal 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
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A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String [PDF]
, 2010 We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. Main results provide fractional versions of the
Almeida, Ricardo +2 more
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New Aspects of Bloch Model Associated with Fractal Fractional Derivatives
Nonlinear 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
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Review of Some Promising Fractional Physical Models [PDF]
, 2015 Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
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Local Whittle Estimation of Multivariate Fractionally Integrated Processes [PDF]
SSRN Electronic Journal, 2009 Summary: This article derives a semi-parametric estimator of multi-variate fractionally integrated processes covering both stationary and non-stationary values of \(d\). We utilize the notion of the extended discrete Fourier transform and periodogram to extend the multi-variate local Whittle estimator of \textit{K.
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Abelian Groups of Fractional Operators
Computer 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
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Generalized Fractional Integral Operators on Generalized Local Morrey Spaces [PDF]
Journal of Function Spaces, 2015 We study the continuity properties of the generalized fractional integral operatorIρon the generalized local Morrey spacesLMp,φ{x0}and generalized Morrey spacesMp,φ. We find conditions on the triple(φ1,φ2,ρ)which ensure the Spanne-type boundedness ofIρfrom one generalized local Morrey spaceLMp,φ1{x0}to anotherLMq,φ2{x0},1<p<q<∞, and fromLM1,φ1{
Guliyev, V. S. +3 more
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Mathematics, 2022 In this article, we investigate the existence and uniqueness of solutions for a nonlinear coupled system of Liouville–Caputo type fractional integro-differential equations supplemented with non-local discrete and integral boundary conditions.
Muthaiah Subramanian +4 more
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