2021
3
4
0
83
1

An existence result for a class of (p(x),q(x))Laplacian system via subsupersolution method
http://www.macajournal.com/article_685401.html
10.30495/maca.2021.1937515.1024
1
This study concerns the existence of positive solution for the following nonlinear boundary value problembegin{gather*}Delta_{p(x)} u= a(x)h(u) + f(v) quadtext{in }Omega\Delta_{q(x)} v=b(x)k(v) + g(u) quadtext{in }Omega\u=v= 0 quadtext{on } partial Omegaend{gather*}where $p(x),q(x) in C^1(mathbb{R}^N)$ are radial symmetric functions such that $supnabla p(x) < infty,$ $supnabla q(x)<infty$ and $1 < inf p(x) leq sup p(x) <infty,1 < inf q(x) leq sup q(x) < infty$, and where $Delta_{p(x)} u = mathop{rm div}nabla u^{p(x)2}nabla u,Delta_{q(x)} v =mathop{rm div}nabla v^{q(x)2}nabla v$ respectively are called $p(x)$Laplacian and $q(x)$Laplacian, $Omega = B(0 , R) = {x  x < R}$ is a bounded radial symmetric domain, where $R > 0$ is a sufficiently large constant. We discuss the existence of positive solution via subsupersolutions without assuming sign conditions on $f(0)$ and $g(0)$.
0

1
8


Saleh
Shakeri
Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, P. O. Box 678, Iran
Iran
s.shakeri@umz.ac.ir
Positive radial solutions
(p(x),q(x))Laplacian system
Subsuper solutions
1

On closedness of convolution of two sets
http://www.macajournal.com/article_685578.html
10.30495/maca.2021.1935853.1020
1
In this note, we give an abstract version of the fact that convolution of two closed and compact subsets of a hypergroup is a closed set.
0

9
12


Seyyed Mohammad
Tabatabaie
Department of Mathematics, University of Qom, Qom, Iran
Iran
sm.tabatabaie@qom.ac.ir
locally compact group
locally compact hypergroup
Michael topology
1

On a nonlinear abstract secondorder integrodifferential equation part I
http://www.macajournal.com/article_685579.html
10.30495/maca.2021.1936023.1022
1
The object of this paper is to study the existence, uniqueness and continuation of the solutions of nonlinear secondorder integrodifferential equations. In the theory of infinitesimal generator of $C_0$ semigroup in a Banach space, the fixed point theorems of Schauder and Banach are used to establish our main results.
0

13
24


Mohammed
Hussain
H.no 3844slash2(125176), Manzoorpura, Near Shahgunj, Aurangabad (431001), Maharashtra, India
India
aijazuddinhussain044@gmail.com
Integrodifferential equation
Kernal
Fixed point theorem
C0semigroup theory
1

Numerical solution of a coupled system of fractional order integro differential equations by an efficient numerical method based on the second kind Chebyshev polynomials
http://www.macajournal.com/article_685644.html
10.30495/maca.2021.1938222.1025
1
In this paper, an efficient numerical method based on operational matrices of the second kind Chebyshev polynomials is used for the solution of a coupled system of fractionalorder integrodifferential equations that the fractional derivative is given in Caputo's sense. The operational matrices of the second kind Chebyshev polynomials reduce the given equations to a system of linear algebraic equations. An approximate solution is calculated by extending the functions in terms of the second kind Chebyshev polynomials and applying operational matrices. Unknown coefficients are obtained by solving the final system of linear equations. Also, convergence analysis and error bound of the solution are studied in this paper. Moreover, to check the reliability and accuracy of the given method. The numerical examples have been shown and the results of the described method are compared with the Haar wavelet method. The obtained results authenticate that the displayed method is effortless to analyze and perform such types of problems. All methods for the proposed method are applied in MATLAB (R2020b) software.
0

25
40


Mohammad Hossein
Derakhshan
Department of Industrial Engineering, Apadana Institute of Higher Education, Shiraz, Iran
Iran
m.h.derakhshan.20@gmail.com
Integro differential equations
Operational matrix
Second kind Chebyshev polynomials
Numerical solutions
1

Multiplicity results for the nonlinear pLaplacian fractional boundary value problems
http://www.macajournal.com/article_686168.html
10.30495/maca.2021.1938349.1026
1
This paper investigates the existence of single and multiple positive positive solutions of fractional differential equations with pLaplacian by means of the Green's function properties, the GuoKrasnosel'skii fixed point theorem, the monotone iterative technique accompanied by established sufficient conditions and the LeggettWilliams fixed point theorem. Additionally, the main results are illustrated by some examples to show their validity.
0

41
62


Tawanda Gallan
Chakuvinga
Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey
Turkey
tchakuvinga@gmail.com


Fatma Serap
Topal
Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey
Turkey
f.serap.topal@ege.edu.tr
RiemannLiouville fractional derivative
pLaplacian operator
Fixed point theorems
Boundary value problems
1

Bifuzzy dalgebras under norms
http://www.macajournal.com/article_685803.html
10.30495/maca.2021.1938454.1027
1
In this paper, by using norms (tnorms and tconorms), we introduce the notions of bifuzzy dalgebras and bifuzzy dideals of dalgebras and investigate several interesting properties. Next, we consider their intersection and product. Finally, we obtain some results about them under dalgebra homomorphisms.
0

63
83


Rasul
Rasuli
Department of Mathematics, Payame Noor University, Tehran, Iran.
Iran
rasulirasul@yahoo.com
Algebra and orders
theory of fuzzy sets
bifuzzy sets
Norms
products and intersections
homomorphisms