[PDF] Top 20 Fractional integrals and derivatives: mapping properties
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Fractional integrals and derivatives: mapping properties
... MSC 2010 : Primary 26A33; Secondary 46E30 Key Words and Phrases: mapping properties, fractional integral, Riesz potential, hypersingular integrals, fractional derivatives, Lebesgue space[r] ... See full document
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Rev. Bras. Ensino Fís. vol.33 número4
... with integrals and derivatives of arbitrary ...order, and shares its origins with classical integral and differential ...with fractional calculus. Nonetheless, fractional ... See full document
7
Lat. Am. j. solids struct. vol.14 número1
... (integrals and fractional derivatives, Mittag- Leffler functions, fractional Zener constitutive model, and temperature influence via WLF ...problem and the computational ... See full document
22
MASTER THESIS ON THE USE OF FRACTIONAL DERIVATIVES FOR MODELING NONLINEAR VISCOELASTICITY
... of fractional derivatives in viscoelastic problems has been studied substantially by many authors, ...Bagley and Torvik (1983b), Lion (1997), Friedrich, Schissel and Blumen (1999), Glockle ... See full document
148
RIESZ POTENTIAL OPERATORS AND INVERSES VIA FRACTIONAL CENTRED DERIVATIVES
... differences and derivatives definitions are proposed, generalizing to real orders the existing ones valid for even and odd positive integer ...involved integrals lead to new generalizations of ... See full document
12
A critical analysis of the Caputo–Fabrizio operator
... the derivatives and integrals are represented by straight ...not fractional, since neither the left nor the right slopes in the amplitude diagram are ↵ · 20dB/dec and the phase diagram ... See full document
7
Fractional integrals and hypersingular integrals in variable order Holder spaces on homogeneous spaces
... on mapping properties of potential operators of variable order α(x) , from such a variable exponent H¨older space with the exponent λ(x) to another one with a ”better” exponent λ(x) + α(x) , and ... See full document
31
Fractional Central Differences and Derivatives
... For those differences, we presented integral representations, from which we obtained the derivative integrals, similar to Cauchy derivatives, using the properties of the Gamma function..[r] ... See full document
12
Fractional Central Differences and Derivatives
... For those differences, we presented integral representations, from which we obtained the derivative integrals, similar to Cauchy derivatives, using the properties of the Gamma function..[r] ... See full document
12
Truncated V -fractional Taylor’s Formula with Applications
... local fractional derivatives and integrals called alternative and conformable, proposed an extension of the Taylor’s formula in the context of iterated fractional differential ... See full document
22
Existence the Solution for Fractional order Nonlinear Functional Integro-Differential Equation in Banach Space
... investigation and applications of integrals and derivatives of arbitrary ...of fractional calculus can be considered as a generalization of ordinary differentiation and ... See full document
6
Licenciado em Química Aplicada
... The present work was aimed at introducing a selenium atom in different molecular structures, in order to obtain several compounds able to be tested for their potential antioxidant activity. As such, a methodology based ... See full document
53
Synthesis, Photophysical and Electrochemical Properties of Novel D- π-D and D-π-A Triphenylamino-Chalcones and β-Arylchalcones
... (THF) and EtOH (1:1) was used as reaction media, affording the desired TPA-chalcone dyes 4a-d in 38-78% ...α- and β-positions of chalcones via Heck or Suzuki ... See full document
9
Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
... RESEARCH PAPER MIXED NORM SPACES OF ANALYTIC FUNCTIONS AS SPACES OF GENERALIZED FRACTIONAL DERIVATIVES OF FUNCTIONS IN HARDY TYPE SPACES Alexey Karapetyants 1 , Stefan Samko.. Dedicated [r] ... See full document
25
Ulam stability for fractional differential equations in the sense of Caputo operator
... Let U := { z C :| z |< 1} be the open unit disk in the complex plane C and H denote the space of all analytic functions on U . Here we suppose that H as a topological vector space endowed with the topology of ... See full document
5
A note on Riesz fractional integrals in the limiting case alpha(x)p(x) a parts per thousand n
... Riesz fractional integration, other space (known as the Lizorkin test function space, see Chapter 2 of [10]) is ...Riesz fractional operator I α of functions f ∈ L p (R n ) with α ≥ n p , interpreted in the ... See full document
8
Quadratic Approximation for Singular Integrals
... Abstract: In this study we present a new approach based on a quadratic approximation for singular integrals of Cauchy type, by using a small technical we arrive to eliminate completely the singularity of this ... See full document
4
He’s fractional derivative for heat conduction in a fractal medium arising in silkworm cocoon hierarchy
... He’s fractional derivative is adopted in this paper to study the heat conduction in fractal ...The fractional complex transformation is applied to convert the fractional differential equation to ... See full document
5
Surface Morphology And Photoluminescence Properties Of A-GaAsSe Detector
... devices and its electron effective mass is only 1/16 of that of Si, consequently with higher mobility of ...gap and composition which gives device ...structure and morphological studies have been ... See full document
3
A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operator
... [6] Jung, I. B., Kim, Y. C. and Srivastava, H. M., The hardly space of analytic functions associated with certain one-parameter families of integral transform, J. Math. Anal. Appl., 179 (1993), pp. 138-147. [7] ... See full document
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