Nazam, Muhammad; Arshad, Muhammad; Abbas, Mujahid(Universidad Politécnica de Valencia, 2017)
Following the approach of F-contraction introduced byWardowski [13],
in this paper, we introduce improved F-contraction of rational type in
the framework of partial metric spaces and used it to obtain a common
fixed ...
Wiggins, Harry; Harding, Ansie; Engelbrecht, Johann C. (Johannes Cornelis), 1946-(Taylor and Francis, 2017-10)
This paper presents an enrichment case study to showcase a possible avenue for attending to the needs of academically strong mathematics students. We report on a group of university students who were presented with the ...
Spectral methods have been actively developed in the last decades. The
main advantage of these methods is to yield exponential order of accuracy
when the function is smooth. However, for discontinuous functions,
their ...
Cerone, Pietro; Dragomir, Sever S.; Kikianty, Eder(Element d.o.o., 2017)
We present some inequalities of Ostrowski and trapezoid type with complex exponential
weight, for complex-valued absolutely continuous functions. These inequalities are related to
Pompeiu’s mean value theorem. Special ...
It is shown by using a rather elementary argument
in Mathematical Logic that if indeed, quantum theory
does violate the famous Bell Inequalities, then quantum
theory must inevitably also violate all valid mathematical ...
Manicom, Gray Thomas(University of Pretoria, 2017)
The main result of this thesis is an existence result for parabolic semi-linear
problems. This is done by reformulating the semi-linear problem as an abstract
Cauchy problem
ut(t) = Au(t) + f(t; u(t)), t > 0
u(0) = u0 ...
Appadu, A. Rao; Djoko, J.K. (Jules Kamdem); Gidey, H.H.(Springer, 2017-12)
In this work, we analyze four finite volume methods for the nonlinear convective Cahn–Hilliard equation with specified initial condition and periodic boundary conditions. The methods used are: implicit one-level, explicit ...
We establish the existence of weak martingale solutions to a class of second order
parabolic stochastic partial differential equations. The equations are driven by multiplicative
jump type noise, with a non-Lipschitz ...
Bezhanishvili, Guram; Moraschini, Tommaso; Raftery, James G.(Elsevier, 2017-12)
It is proved that epimorphisms are surjective in a range of varieties of residuated structures, including all varieties of Heyting or Brouwerian algebras of finite depth, and all varieties consisting of Gödel algebras, ...
Mahasa, Khaphetsi Joseph; Eladdadi, Amina; De Pillis, Lisette; Ouifki, Rachid(Public Library of Science, 2017-09-21)
In the present paper, we address by means of mathematical modeling the following main
question: How can oncolytic virus infection of some normal cells in the vicinity of tumor cells
enhance oncolytic virotherapy? We ...
Campercholi, M.A.; Raftery, James G.(Springer, 2017-09)
Quasivarietal analogues of uniform congruence schemes are discussed, and their relationship with the equational definability of principal relative congruences (EDPRC) is established, along with their significance for ...
Alofi, Abdulaziz Saleem Moslem; Al-Mazrooei, Abdullah Eqal; Leyew, Bahru Tsegaye; Abbas, Mujahid(International Scientific Research Publications (ISRP), 2017)
In this paper, we introduce the concept of -dominated multivalued mappings and establish the existence of common fixed
points of such mappings on a closed ball contained in left/right K-sequentially complete dislocated ...
Evolution equations containing fractional derivatives
can provide suitable mathematical models for
describing important physical phenomena. In this paper,
we propose an accurate method for numerical solutions
of ...
Abbas, Mujahid; De la Sen, Manuel; Nazir, Talat(Hindawi Publishing, 2015)
The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup
of multiplicative metric spaces. As an application, we obtain a common fixed point ...
Rahimi, Hamidreza; Abbas, Mujahid; Rad, Ghasem Soleimani(University of Nis, Serbia, Faculty of Sciences and Mathematics, 2015)
A vector metric space is a generalization of a metric space, where the metric is Riesz space
valued. We prove some common fixed point theorems for four mappings in ordered vector metric spaces.
Obtained results extend ...
Appadu, A. Rao; Djoko, J.K. (Jules Kamdem); Gidey, H.H.(American Institute of Physics, 2017)
In this work, three finite difference methods have been used to solve a three dimensional advection-diffusion equation
with given initial and boundary conditions. The three methods are fourth order finite difference method, ...
Bergsten, Christer; Engelbrecht, Johann C. (Johannes Cornelis), 1946-; Kagesten, Owe(Modestum, 2017)
One challenge for an optimal design of the mathematical components in engineering education curricula is to understand how the procedural and conceptual dimensions of mathematical work can be matched with different demands ...
Leyew, Bahru Tsegaye; Abbas, Mujahid(University Politehnica of Bucharest, 2016)
In this paper, we introduce the concept of a generalized alpha-Suzuki-Geraghty type contraction mapping and obtain fixed point results in the framework of an f-orbitally complete b-metric space. The results proved herein ...
The purpose of this paper is to prove theorem which generalize the corresponding results of Rhoades [B. E. Rhoades, Two New Fixed Point Theorems, Gen. Math. Notes, 2015, 27(2), 123--132]. This paper is to introduce the ...
PURPOSE : An unconditionally positive definite finite difference scheme termed as UPFD has been derived to approximate a linear advection-diffusion-reaction equation which models exponential travelling waves and the ...