[PDF] Top 20 Some results in fractional Clifford analysis
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Some results in fractional Clifford analysis
... What is nowadays called (classic) Clifford analysis consists in the establishment of a function theory for functions belonging to the kernel of the Dirac operator. While such functions can very well ... See full document
5
Fischer Decomposition and Cauchy-Kovalevskaya extension in fractional Clifford analysis: the Riemann-Liouville case
... complex analysis. Over the last decades F. Sommen and his collaborators developed a method for establishing a higher dimension function theory based on the so-called Weyl relations [14, 7, 11]. In more ... See full document
16
Discrete Clifford analysis
... encode some phys- ical structures like spinors and Dirac ...between Clifford algebras and lattice structure should be established a ...priori. Clifford algebras on lattice structures are defined by ... See full document
147
On the Π-operator in Clifford analysis
... Π-operator in Clifford analysis, obtained by the use of two orthogonal bases of a Euclidean space, possesses several mapping and invertibility properties, as studied before for quaternion-valued functions as ... See full document
22
Stability analysis of a fractional-order HBV infection model
... On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, R ¨ o ssler, Chua and Chen systems, Physics Letters A 358(1) (2006) ...of ... See full document
6
Optimization conditions for some fractional problems
... nonconstant. In this way, we present some generalizations of known theorems in the calculus of variations, for the fractional ...classic results of this ...nowadays, in ... See full document
6
SOME OPTIMALITY AND DUALITY RESULTS FOR AN EFFICIENT SOLUTION OF MULTIOBJECTIVE NONLINEAR FRACTIONAL PROGRAMMING PROBLEM
... convex. In this paper we obtain some results for a properly efficient solution of a multiobjective non-linear fractional programming problem involving semilocally convex and related functions ... See full document
7
NEW RESULTS ON FRACTIONAL LINEAR PREDICTION
... a fractional delay and lead concepts review takes ...of fractional linear prediction that is described in section ...coefficients. In section 4, some examples to illustrate the ... See full document
6
An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics.
... a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and subsequently Reduced ... See full document
17
Multiplicity results for some classes of Schrödinger-Poisson systems
... tools in studying nonlin- ear differential equations (see Ambrosetti-Malchiodi [5], Ambrosetti-Rabinowitz [6], Costa [33], Ekeland [48], Mawhin-Willem [80], Rabinowitz [85], Struwe [96], Willem [103]), in ... See full document
126
Some properties of the fractional circle Zernike polynomials
... studied in the ...help in the study of each cornea aberration. Moreover, the analysis of the presented figures allows us to induce that this new class of fractional circle polynomials allow ... See full document
9
Evaluating some Reliability Analysis Methodologies in Seismic Design
... give results that are rather close one from each ...FORM analysis. For the building considered in this study, there is no need to perform coupling/FORM and RSM/ISM which are time consuming ... See full document
9
Training mathematical skills in school children: Some preliminary results.
... developed in primary schools, first in slum-like environments in Lisbon (2005-2008), and then in Alentejo, an underdeveloped rural region in Portugal ...success in the first ... See full document
10
Fractional State Space Analysis of Economic Systems
... identified in the long-run process of modernization that has occurred from ...Curiously, in applying SSP methodologies, three clusters become ...The fractional-order SSP for the USA’s GDP per capita ... See full document
20
Some new properties and applications of a fractional Fourier transform
... derive some new important properties of the fractional Fourier transform including new operational ...These results are then used to work out a schema for solving the fractional differential ... See full document
15
SOME RESULTS OF ANALYSIS OF INVERTED ECHO-SOUNDER RECORDS FROM THE ATLANTIC EQUATORIAL REGION
... undercurrent leveI) suggests also the occurrence of variabilities in the 3, 4 and 6 cpd bands, probably associated with internaI waves. Resumo[r] ... See full document
6
Fractional state space analysis of economic systems
... identified in the long-run process of modernization that has occurred from ...Curiously, in applying SSP methodologies, three clusters become ...The fractional-order SSP for the USA’s GDP per capita ... See full document
20
Fischer decomposition in generalized fractional Clifford Analysis
... (classic) Clifford analysis, or hypercomplex function theories consists in the estab- lishment of a function theory for null-solutions of the Dirac ...complex analysis, where these ... See full document
12
Cauchy-Kovalevskaya extension theorem in fractional Clifford analysis
... the fractional approaches is the presence of non-local fractional differential ...a fractional differential used to describe the dynamics is non-negative ...functions in the case of the ... See full document
14
Fischer decomposition in generalized fractional ternary Clifford analysis
... summarize, in this paper we will follow a different path, approaching the problem through ways pioneered in hypercomplex analysis by ...Sommen, in the new context of generalized ... See full document
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