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Fractional-order Uniaxial Visco-elasto-plastic Models For Structural Analysis
(Elsevier Science SALausanne, 2016)
Local fractional and singular integrals on open subsets
(Springer, 2019-07)
For a proper open set $Omega$ immersed in a metric space with the weak homogeneity property, and given a measure $mu$ doubling on a certain family of balls lying ``well inside´´ of $Omega$, we introduce local operators of ...
On the composition of the integral and derivative operators of functional order
(Universitatis Carolinae, 2003-03)
In this work we show that the composition of the integral and derivative operators of order phi, T_phi = D_phi◦I_phi, is a singular integral operator.This result in addition with the results obtained in [HV2] of boundedness ...
Jensen-type inequalities for m-convex functions
(2022)
Inequalities play an important role in pure and applied mathematics. In particular, Jensen’s inequality, one of the most famous inequalities, plays the main role in the study of the existence and uniqueness of initial and ...
Phosphorus Fractions in Soil With Organic and Mineral Fertilization in Integrated Crop-Livestock System
(Soc Brasileira De Ciencia Do Solo, 2019-01-01)
Use of organic fertilizers in integrated crop-livestock (iCL) systems may affect soil phosphorus fractions. This study aimed to determine phosphorus fractions in the soil under the iCL system after six years of application ...
Fractional Integrals And RIESZ Transform acting on certain LIPSCHITZ Spaces
(Michigan Mathematical Journal, 2016-02)
We make a unifying approach to the study of mapping properties of fractional integrals and Riesz transforms acting on spaces of functions f verifying sup B (1 w(a, r) 1 |B| ˆ B |f − mBf| q 1/q )< ∞ , where w is a non ...
Robust mixed order backstepping control of non-linear systems
(Institution of Engineering and Technology, 2018-06-12)
Robust backstepping control of non-linear systems with derivation orders (commensurate or non-commensurate) lying at interval (0, 2) is proposed in this study. The stability and robustness properties are proved using a ...
On fractional extensions of Barbalat Lemma
(Elsevier, 2015)
This paper presents Barbalat-like lemmas for fractional order integrals, which can be used to conclude about the convergence of a function to zero, based on some conditions upon its fractional integral. Some examples in ...
A synthesis of a 1/f process via Sobolev spaces and fractional integration
(Institute of Electrical and Electronics Engineers, 2005-12)
We provide an almost sure convergent expansion of a process with power law of fractional order by means of some known theorems from harmonic analysis and simple probability theory results.
Fractionally integrated processes of Ornstein-Uhlenbeck type
(Pontificia Universidad Católica del PerúPE, 2017)