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Paper's Title:
On the Oscillatory Behavior of Self Adjoint Fractional Extensible Beam Equations
Author(s):
S. Priyadharshini1, G.E. Chatzarakis2, S. L. Panetsos2 and V. Sadhasivam1
1Post
Graduate and Research Department of Mathematics,
Thiruvalluvar Government Arts College,
Rasipuram - 637 401, Namakkal Dt., Tamil Nadu,
India.
E-mail: s.priya25april@gmail.com,
ovsadha@gmail.com
2Department
of Electrical and Electronic Engineering Educators,
School of Pedagogical and Technological Education(ASPETE),
Marousi 15122, Athens,
Greece.
E-mail: geaxatz@otenet.gr,
gea.xatz@aspete.gr,
spanetsos@aspete.gr
Abstract:
The main objective of this paper is to study the oscillatory behavior of the solutions of self adjoint fractional extensible beam equations by using integral average method. Some new sufficient conditions are established with various boundary conditions over a cylindrical domains. Examples illustrating the results are given.
Paper's Title:
Improved Oscillation Criteria of Second-Order Advanced Non-canonical Difference Equation
Author(s):
G. E. Chatzarakis1, N. Indrajith2, S. L. Panetsos1, E. Thandapani3
1Department
of Electrical and Electronic Engineering Educators
School of Pedagogical and Technological Education,
Marousi 15122, Athens,
Greece.
E-mail: gea.xatz@aspete.gr,
geaxatz@otenet.gr
spanetsos@aspete.gr
2Department
of Mathematics,
Presidency College, Chennai - 600 005,
India.
E-mail: indrajithna@gmail.com
3Ramanujan
Institute for Advanced Study in Mathematics,
University of Madras Chennai - 600 005,
India.
E-mail: ethandapani@yahoo.co.in
Abstract:
Employing monotonic properties of nonoscillatory solutions, we derive some new oscillation criteria for the second-order advanced non-canonical difference equation
Our results extend and improve the earlier ones. The outcome is illustrated via some particular difference equations.
Paper's Title:
SQIRV Model for Omicron Variant with Time Delay
Author(s):
S. Dickson, S. Padmasekaran, G. E. Chatzarakis and S. L. Panetsos
Mathematics, Periyar University, Periyar
Palkalai Nagar, Salem,
636011, Tamilnadu,
India.
E-mail:
dickson@periyaruniversity.ac.in,
padmasekarans@periyaruniversity.ac.in
Electrical and Electronic Engineering
Educators, School of
Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
E-mail: geaxatz@otenet.gr,
spanetsos@aspete.gr
Abstract:
In order to examine the dynamics of the Omicron variant, this paper uses mathematical modelling and analysis of a SQIRV model, taking into account the delay in the conversion of susceptible individuals into infected individuals and infected individuals into recovered individuals. The pandemic was eventually controlled as a result of the massive delays. To assure the safety of the host population, this concept incorporates quarantine and the COVID-19 vaccine. Both local and global stability of the model are examined. It is found that the fundamental reproduction number affects both local and global stability conditions. Our findings show that asymptomatic cases caused by an affected population play an important role in increasing Omicron infection in the general population. The most recent data on the pandemic Omicron variant from Tamil Nadu, India, is verified.
Paper's Title:
Linear System of Singularly Perturbed Initial Value Problems with Robin Initial Conditions
Author(s):
S. Dinesh, G. E. Chatzarakis, S. L. Panetsos and S. Sivamani
Department of Mathematics,
Saranathan College of Engineering,
Tiruchirappalli-620012,
Tamil Nadu,
India.
Department of Electrical and Electronic
Engineering Educators,
School of Pedagogical and Technological Education,
Marousi 15122, Athens,
Greece.
E-mail:
geaxatz@otenet.gr,
dineshselvaraj24@gmail.com,
spanetsos@aspete.gr,
winmayi2012@gmail.com
Abstract:
On the interval (0,1], this paper considers an initial value problem for a system of n singularly perturbed differential equations with Robin initial conditions. On a piecewise uniform Shishkin mesh, a computational approach based on a classical finite difference scheme is proposed. This approach is shown to be first-order convergent in the maximum norm uniformly in the perturbation parameters. The theory is illustrated by a numerical example.
Paper's Title:
ℵ0 Algebra and its Novel Application in Edge Detection
Author(s):
G. E. Chatzarakis1, S. Dickson2, S. Padmasekaran2, S. L. Panetsos1, and J. Ravi3
1Electrical
and Electronic Engineering Educators,
School of Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
E-mail: geaxatz@otenet.gr,
spanetsos@aspete.gr
2Mathematics,
Periyar University,
Periyar Palkalai Nagar, Salem, 636011, Tamilnadu,
India.
E-mail: dix.bern@gmail.com,
padmasekarans@periyaruniversity.ac.in
3Department
of Mathematics, Amity University,
Bengaluru, Karnataka,
India.
E-mail:
jravistat@gmail.com
Abstract:
In this paper a new type of ℵ0-algebra has been defined. With its help, the fuzzy cross subalgebra and the fuzzy η-relation on the ℵ0-algebra are introduced and their respective properties are derived. Moreover, the fuzzy cross ℵ0-ideal of the ℵ0-algebra is defined with some theorems and intuitionistic fuzzy ℵ0-ideals of the ℵ0-algebra are introduced. This fuzzy algebra concept is applied in image processing to detect edges. This ℵ0-algebra is a novelty in the field of research.
Paper's Title:
Semicommutative and Semiprime Properties in Bi-amalgamated Rings
Author(s):
1A. Aruldoss, 2C. Selvaraj, 3G. E. Chatzarakis, 4S. L. Panetsos, 5U. Leerawat
1
Department of Mathematics,
Mepco Schlenk Engineering College,
Sivakasi-626 005, Tamilnadu,
India.
aruldossa529@gmail.com
2
Department of Mathematics,
Periyar University,
Salem - 636 011, Tamilnadu,
India.
selvavlr@yahoo.com
3,4
Department of Electrical and Electronic Engineering Educators,
School of Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
geaxatz@otenet.gr
spanetsos@aspete.gr
5
Department of Mathematics,
Faculty of Science, Kasetsart University,
Bangkok 10900,
Thailand.
fsciutl@ku.ac.th
Abstract:
Let α: A→ B and β: A→ C be two ring homomorphisms and I and I' be two ideals of B and C, respectively, such that α{-1}(I)=β{-1}(I'). In this paper, we give a characterization for the bi-amalgamation of A with (B, C) along (I, I') with respect to (α, β) (denoted by A⋈(α, β)(I, I')) to be a SIT, semiprime, semicommutative and semiregular. We also give some characterization for these rings.
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