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Journal of Analysis & Number Theory
An International Journal
               
 
 
 
 
 
 
 
 
 
 

Forthcoming
 

 

On similar transposed sets of polynomials of two complex variables

mosaed mahmoud makky,
Abstract :
This paper studies the effectiveness of similar transposed sets of polynomials of two complex variables in closed complete Reinhardt domains whenever the constituent sets are effective in open complete Reinhardt domains, some notations and definitions introduced in article (1), in article (2) studies the effectiveness of similar transposed sets of polynomials of two complex variables in closed complete Reinhardt domains when the constituent sets are effective in open complete Reinhardt domains and satisfies the normalizing conditions. Also, study the effectiveness of similar transposed sets of polynomials of two complex variables in closed complete Reinhardt domains when the constituent sets are effective in open complete Reinhardt domains and satisfies the algebraic conditions.

 

Solutions for certain classes of Non-linear Diophantine Eqautions

ANTENEH TILAHUN,
Abstract :
ABSTRACT: The main aim of this paper is to introduce a method, to solve certain class of non-Linear Diophantine equations and investigate various properties using the well-known Eulerís theorem and the theory of congruence. Some of the interesting special cases of our main results have been discussed. KEY WORDS: Diophantine Equations, Non-linear Diophantine equations, Euler phi-function, Eulerís theorem.

 

Two Dimensional Laplace Transforms for Solving Systems of Fractional Partial Differential Equations

M.R. Masomi,
Abstract :
Abstract In this work, the authors implemented two dimensional Laplace transform to solve certain in homogenous sub ballistic fractional PDE and homogeneous systems of time fractional heat equations which is a generalization to the problem of thermal effects on fluid flow and also the problem of the effect of a uniform overburden on the passage of a thermal wave and the temperatures in the underlying rock. Constructive examples are also provided.

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