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Journal of Analysis & Number Theory
An International Journal
               
 
 
 
 
 
 
 
 
 
 

Forthcoming
 

 

The existence of positive solution for Choquard equations with Hardy-Littlewood-Sobolev critical exponents and Hardy-type term

S M Sbai,
Abstract :
We consider the following nonlinear Choquard equation with Dirichlet boundary condition. which involves the critical Sobolev exponent in the sense of the Hardy-Littlewood-Sobolev inequality and Hardy-type terms is considered. Under suitable assumptions on the function f and the parameter \mu>0, we are able to prove the existence of positive solutions. We achieve our goal by making use of variational methods. More specifically, the Mountain Pass Theorem.

 

CERTAIN SUBCLASS OF ANALYTIC UNIVALENT FUNCTIONS USING q􀀀 DIFFERENTIAL OPERATOR

G Thirupathi,
Abstract :
In this paper, we de fine a new subclass of analytic univalent function using q - differential operator, which generalizes Ruschewayh differential operators. Coefficient inequalities, Subordination, extreme points and integral means inequalities results are obtained.

 

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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