An infinite plate with a curvilinear hole having three poles with complex parameters
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 5
Abstract
This paper covered the study of the boundary value problem for isotropic homogeneous perforated infinite elastic media. For this, we considered the problem of a thin infinite plate of specific thickness with a curvilinear hole where the origin lie outside the hole is conformally mapped outside a unit circle by means of a specific rational mapping . The complex variable method has been applied and it transforms the problem to the integrodifferential equation with Cauchy kernel that can be solved to find two complex potential functions which called Gaursat functions. Many special cases are discussed and established of these functions .Also, many applications and examples are considered. Moreover the components of stress , in each application , are computed.
Authors and Affiliations
Fatimah Salem Bayones, B. M Alharbi
A new analytical modelling for fractional telegraph equation via Elzaki transform
The main aim of this paper is to propose a new and simple algorithm for space-fractional telegraph equation, namely new fractional homotopy analysis transform method (FHATM). The fractional homotopy analysis transform...
REGIONAL EXPONENTIAL GENERAL OBSERVABILITY IN DISTRIBUTED PARAMETER SYSTEMS
The purpose of this paper is to explore the concept of regional exponential general observability for a class of distributed parameter systems, in connection with the regional strategic sensors. Then, we give characteriz...
Neumann-Boundary Stabilization of the Wave Equation with Internal Damping Control and Applications
This paper is devoted to the Neumann boundary stabilization of a non-homogeneous ndimensional wave equation subject to static or dynamic boundar...
An infinite plate with a curvilinear hole having three poles with complex parameters
This paper covered the study of the boundary value problem for isotropic homogeneous perforated infinite elastic media. For this, we considered the problem of a thin infinite plate of specific thickness with a curvilinea...
SOME RESULTS OF GENERALIZED LEFT (θ,θ)-DERIVATIONS ON SEMIPRIME RINGS
Let R be an associative ring with center Z(R) . In this paper , we study the commutativity of semiprime rings under certain conditions , it comes through introduce the definition of generalized left(θ,θ)- derivation as...