Theorem On Differential Equations For Mikusinski Operators
Theorems on -dimensional Laplace transforms and their applications.
Theorems on some families of fractional differential equations and their applications
We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional derivative. We first state and prove our main results regarding the solutions of some families of fractional order differential equations, and then give examples to illustrate these results. In particular, we give the exact solutions for the vibration...
Three-dimensional reconstruction from projections
Computerized tomograhphy is a technique for computation and visualization of density (i.e. X- or -ray absorption coefficients) distribution over a cross-sectional anatomic plane from a set of projections. Three-dimensional reconstruction may be obtained by using a system of parallel planes. For the reconstruction of the transverse section it is necessary to choose an appropriate method taking into account the geometry of the data collection, the noise in projection data, the amount of data, the...
Time-Fractional Derivatives in Relaxation Processes: A Tutorial Survey
2000 Mathematics Subject Classification: 26A33, 33E12, 33C60, 44A10, 45K05, 74D05,The aim of this tutorial survey is to revisit the basic theory of relaxation processes governed by linear differential equations of fractional order. The fractional derivatives are intended both in the Rieamann-Liouville sense and in the Caputo sense. After giving a necessary outline of the classica theory of linear viscoelasticity, we contrast these two types of fractiona derivatives in their ability to take into...
Transfer of connection problems for first level solutions of merimorphic differential equations, and associated Laplace transforms.
Transfinite diameter on curves, Hankel determinants and the moment problem
We discuss problems on Hankel determinants and the classical moment problem related to and inspired by certain Vandermonde determinants for polynomial interpolation on (quadratic) algebraic curves in ℂ².
Transformadas De Poisson De Funciones No-Estandares.
Transformations de Laplace et de Mellin. Formulaires. Mode d'utilisation [Book]
Transformations de Laplace sur des sous-variétés de et représentations d’ondes entrantes et sortantes
Transformations de Marcel Riesz
Transformée de Radon semi-globale
Dans cet article, nous nous proposons d’étudier le noyau, l’image et une éventuelle formule d’inversion de la transformation de Radon réelle dans les domaines linéairement concaves. Nous rappelons que, dans , on sait reconstruire une fonction à partir de sa transformation de Radon lorsque celle-ci est connue le long de toutes les droites de l’espace. Notre propos sera, en quelque sorte, d’établir une version semi-globale de ce résultat. Nous verrons ainsi que, modulo un noyau que nous préciserons,...
Twisted spherical means in annular regions in and support theorems
Let be the class of all continuous functions on the annulus in with twisted spherical mean whenever and satisfy the condition that the sphere and ball In this paper, we give a characterization for functions in in terms of their spherical harmonic coefficients. We also prove support theorems for the twisted spherical means in which improve some of the earlier results.
Two complex variants of a Hankel type transformation of generalized functions
Two dimensional Laplace transforms of generalized hypergeometric functions.
Two endpoint bounds for generalized Radon transforms in the plane.
Two Integral Equations In The Field Of Mikusinski Operators
Two integral equations in the field of Mikusinski operators.
Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform
Uber die Konvergenz für Reihen in dem mikusinskischen Operatorenkorper