The aim of this project is to study Duhamel's principle for solving one dimensional evolution
equations (heat and wave). First, find the formula in which we able to obtain its solution we
derived by using the D' ...
In this project we understand the concept of filters in an MS-Algebra and
characterize in terms of equivalent conditions. The concept of filters is studied and
the set of equivalent conditions under which every e-fuzzy ...
Abstract
In this project, using the fuzzy ideal and fuzzy filters of fuzzy lattice, defined by Mezzomo
[9], we define a level set of fuzzy set, and we prove some results based on Mezzomo’s
definition, and we evaluate the ...
The fundamental concept of fuzzy sets was initiated by L. Zadeh [12] in 1965. In this project
work, we introduce the concept of fuzzy PMS- ideals in PMS- algebras and we discussed about
the definitions of PMS- algebra, ...
Abstract
In this project, we apply the max-min composition of fuzzy relation to show a given fuzzy
relation is a fuzzy transitive, we redefine the equality of two fuzzy relations from [8], and
by using the definitions of ...
Abstract
In this project, we study the results of Colao and Marino on the paper "krasnosnoslskii-Mann
method for non-self mappings" to approximate fixed points of non-self, non-expansive mappings
in a real Hilbert space ...
In this paper we introduce normal filters and normlets in an almost
distributive lattice with dense elements and reinforce them in both
algebraical and topological aspects.
ABSTRACT
The major purpose of this project is to show the applications of some mathematical models
involving first order ordinary differential equations in describing some biological processes and
mixing problems. ...
Abstract
In this project the subgradient extragradient method for solving variational inequality in Hilbert
space and the modified version of the algorithm which finds the solution of variational inequality
and also a ...
Abstract
This project gives the discussion of Hamilton’s principle in relation to the calculus of variations. The principle states that “The motion of the system from time to time is such that the time integral of the ...
In this paper, we introduce the concept of transitive and absorbent filters of implicative almost
distributive lattices and studied their properties. A necessary and sufficient condition is derived
for every filter to ...
Abstract
The notions of ILI-ideals in lattice implication algebras are introduced. Some relationships and characterizations of ILI-ideals in lattice implication algebras are studied. Furthermore,we discussed the extension ...
Abstract
This project focused on 𝜃-filters in ADL and characterize it in terms of almost distributive lattice
congruence. A 𝜃-Prime filters are also characterized in terms of prime filters, 𝜃-filters and prime
–𝜃 ...
In this project, we discussed stability, where the stability of the state trajectory or equilibrium
state is examined, stability is applied to obtain the behavior of systems of first-order ordinary
differential equation ...
In this project, a fourth order finite difference method is presented for solving third
order linear two point boundary value problems. We use grid points to derive this
method. The present method is convergent to fourth ...
In this project, we are interested in solving analytic solutions for Fractional type Special
Ordinary Differential Equations and systems of fractional type ordinary differential
equations by using Sumudu transform method. ...
In this project, we are interested in solving wave like equations and systems by using
Hyperbolic Function Method. The method is used to construct periodic and solitary wave
solutions for some nonlinear wave type ...
In this paper, we are interested in solving analytic solutions for nonlinear diffusion like equations
by using differential transform method. The Differential transform method produces an
approximate solution for the ...
In this project, I studied the Elzaki substitution method for solving nth order linear partial differ-ential equations involving mixed derivatives. This method will play an important role to find ex-act solutions of partial ...
Abstract
Let g be a complex constant and z be complex variable, G(g) the Euler’s gamma function,
and (g)
k
=
G(g+k)
G(g)
for k 2 N[f0g the generalized Pochhammer symbol. The principal
aim of this project is to ...