[PDF] Top 20 Fractional calculus and the ESR test
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Fractional calculus and the ESR test
... measured the concentration of red cells at dif- ferent times in blood samples of 5 male ...In the same year, Huang et ...describe the behavior of the concentration of blood ...in ESR ... See full document
15
A stochastic fractional calculus with applications to variational principles
... ], the theory of the calculus of variations evolved in order to include fractional operators and better describe non-conservative systems in mechanics [ 5 ...]. The subject is ... See full document
10
A fractional calculus of variations for multiple integrals with application to vibrating string
... that the fractional operators are nonlocal, therefore they are suitable for construct- ing models possessing memory ...In the above example, we discussed the application of the ... See full document
12
The Dynamism of a Written Test in Phases: a study with students of Differential and Integral Calculus
... practice and learning opportunity, we present a discussion about the "behavior" of the assessment instrument written in phases (stage test) evidenced in a ...research. The ... See full document
20
Fractional calculus of variations in terms of a generalized fractional integral with applications to physics
... In Sections 4, 5, and 6 we study three important classes of generalized variational problems: we obtain fractional Euler-Lagrange conditions for the fundamental Section 4 and generalized[r] ... See full document
24
Generalized transversality conditions in fractional calculus of variations
... in the following ...in the sequel. Our main results are stated and proved in the remaining ...consider the Bolza-type fractional variational problem and develop the ... See full document
14
Calculus of variations involving Caputo-Fabrizio fractional differentiation
... Although fractional calculus have various fields of applications, in this paper we are interested in the fractional calculus of variations which deals with optimization of functionals ... See full document
10
A time-fractional Borel-Pompeiu formula and a related hypercomplex operator calculus
... On the one hand the formula involves forward and backward time-fractional parabolic Dirac operators, and on the other hand it also involves both the Caputo and ... See full document
22
A fractional calculus of variations for multiple integrals with application to vibrating string
... a fractional theory of the calculus of variations for multiple ...uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of ... See full document
12
Duality for the left and right fractional derivatives
... present the definitions of fractional calculus needed in the ...between the left and right fractional ...that the duality between the left and right ... See full document
15
Definition of parameters for a test section for the analysis of natural convection and coolant loss in the AP1000 nuclear reactor by similarity laws and fractional scaling analysis
... Since the fractional rates of change present in ...power, and considering that the system is in the steady state, when the occurrence of the rup- ture, all the ... See full document
12
Application of the hypercomplex fractional integro-differential operators to the fractional Stokes equation
... is the unknown pressure of the flow and u its unknown ...in the continuous case treated in [4], the hypercomplex fractional calculus that we proposed in the ... See full document
5
Capacitor Analyzer (Capacitance and ESR Precision Meter) : Analisador de Capacitores (Medidor de Capacitância e ESR de Precisão)
... shows the simplified version of the circuit that is used to measure ...capacitance. The OA along with the bipolar transistor behave as a Current ...to the Analog to Digital Converter ... See full document
74
A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operator
... [14] Ruscheweyh, S., New Criteria for univalent func- tions,Proc. Amer. Math. Soc., 49 1975, pp. 109-115. [15] Saigo, M., A remark on integral operators involv- ing the Gauss hypergeometric function, Math. Rep. ... See full document
8
Chain rules and inequalities for the BHT fractional calculus on arbitrary timescales
... develop the Benkhettou–Hassani–Torres fractional (noninteger order) calculus on timescales by proving two chain rules for the α-fractional derivative and five inequalities for ... See full document
8
Fractional calculus of variations for double integrals
... The Fractional Calculus of Variations (FCV) was born in 1996-97 with the proof, by Riewe, of the Euler-Lagrange fractional differential equations [29, ...20]. The first ... See full document
12
Computational methods in the fractional calculus of variations and optimal control
... are the direct methods. In a branch of direct methods, the problem is discretized on the interested time interval using discrete values of the unknown function, finite differences for ... See full document
193
A higher dimensional fractional Borel‐Pompeiu formula and a related hypercomplex fractional operator calculus
... a fractional integro-differential operator calculus for Clifford-algebra valued ...introduce fractional analogues of the Teodorescu and Cauchy-Bitsadze operators and we ... See full document
21
Calculus of variations on time scales and discrete fractional calculus
... to the discrete fractional calculus theory we proved some properties for the fractional sum and difference operators in Section ...7.2 and then, in Section 7.3, we proved ... See full document
116
Fractional calculus of variations
... In the recent years, the fractional calculus of variations with a Lagrangian depending on fractional derivatives has emerged as an elegant alternative to study non-conservative ... See full document
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