ORIGINAL_ARTICLE
Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem
In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.
https://ijnaa.semnan.ac.ir/article_2296_80fd65a54d2078b7f30046da57777be0.pdf
2018-08-01
1
12
10.22075/ijnaa.2017.1394.1352
Nonlinear integral equations
Existence of solution
Measures of noncompactness
Petryshyn's fixed point theorem
Manouchehr
Kazemi
univer_ka@yahoo.com
1
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
AUTHOR
Reza
Ezzati
ezati@kiau.ac.ir
2
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Decomposition of supra soft locally closed sets and supra SLC-continuity
In this paper, we introduce two different notions of generalized supra soft sets namely supra A--soft sets and supra soft locally closed sets in supra soft topological spaces, which are weak forms of supra open soft sets and discuss their relationships with each other and other supra open soft sets [International Journal of Mathematical Trends and Technology, (IJMTT), (2014) Vol. 9 (1): 37-56] like supra semi open soft sets, supra pre open soft sets, supra $\alpha$-open sets and supra $\beta$--open sets. Furthermore, the soft union and intersection of two supra soft locally closed sets have been obtained. We also introduce two different notions of generalized supra soft continuity namely supra soft A-continuous functions and supra SLC-continuous functions. Finally, we obtain decompositions of supra soft continuity: $f_{pu}$ is a supra soft A-continuous if it is both supra soft semi-continuous and supra SLC-continuous, and also $f_{pu}$ is a supra soft continuous if and only if it is both supra soft pre-continuous and supra SLC-continuous. Several examples are provided to illustrate the behavior of these new classes of supra soft sets and supra soft functions.
https://ijnaa.semnan.ac.ir/article_3079_0ce2a60a6abf1f556e2f1984a2737b0d.pdf
2018-08-01
13
25
10.22075/ijnaa.2018.12727.1651
supra soft topological space
supra A-soft sets
supra soft locally closed sets
supra SLC-continuous functions
Alaa
Abd El-latif
alaa.ali@nbu.edu.sa
1
Mathematics Department, Faculty of Arts and Science, Northern Border University, Rafha, Saudi Arabia
LEAD_AUTHOR
ORIGINAL_ARTICLE
Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces
In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiple-sets split convexminimization problems.
https://ijnaa.semnan.ac.ir/article_3080_cbdad3d80d8f73b4f043cf6b8daff31e.pdf
2018-08-01
27
40
10.22075/ijnaa.2018.12463.1632
Split variational inequality problems
multiple-sets problems, convex minimization problems
strictly pseudocontractive mapping
inverse strongly monotone operators
Chinedu
Izuchukwu
izuchukwu_c@yahoo.com
1
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
LEAD_AUTHOR
ORIGINAL_ARTICLE
Lie ternary $(\sigma,\tau,\xi)$--derivations on Banach ternary algebras
Let $A$ be a Banach ternary algebra over a scalar field $\Bbb R$ or $\Bbb C$ and $X$ be a ternary Banach $A$--module. Let $\sigma,\tau$ and $\xi$ be linear mappings on $A$, a linear mapping $D:(A,[~]_A)\to (X,[~]_X)$ is called a Lie ternary $(\sigma,\tau,\xi)$--derivation, if $$D([a,b,c])=[[D(a)bc]_X]_{(\sigma,\tau,\xi)}-[[D(c)ba]_X]_{(\sigma,\tau,\xi)}$$ for all $a,b,c\in A$, where $[abc]_{(\sigma,\tau,\xi)}=a\tau(b)\xi(c)-\sigma(c)\tau(b)a$ and $[a,b,c]=[abc]_{A}-[cba]_{A}$. In this paper, we prove the generalized Hyers--Ulam--Rassias stability of Lie ternary $(\sigma,\tau,\xi)$--derivations on Banach ternary algebras and $C^*$--Lie ternary $(\sigma,\tau,\xi)$--derivations on $C^*$--ternary algebras for the following Euler--Lagrange type additive mapping: $$\sum_{i=1}^{n}f\textbf{(}\sum_{j=1}^{n}q(x_i-x_j)\textbf{)} +nf(\sum_{i=1}^{n}qx_i)=nq\sum_{i=1}^{n}f(x_i).$$
https://ijnaa.semnan.ac.ir/article_3081_6486c63f9dfbcbb69da5dc4438109c41.pdf
2018-08-01
41
53
10.22075/ijnaa.2018.3081
Banach ternary algebra
Lie ternary $(sigma
tau
xi)$-derivation
Hyers-Ulam-Rassias stability
Razieh
Farokhzad Rostami
razieh.farokhzad@yahoo.com
1
Department of Mathematics, Faculty of Basic Sciences and Engineering, Gonbad Kavous University, Gonbad Kavous, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination
In this paper, we define new subclasses ${S}^{*}_{q}(\alpha,\Phi),$ ${M}_{q}(\alpha,\Phi)$ and ${L}_{q}(\alpha,\Phi)$ of analytic functions in the space of logistic sigmoid functions based on quasi--subordination and determine the initial coefficient estimates $|a_2|$ and $|a_3|$ and also determine the relevant connection to the classical Fekete-Szego inequalities. Further, we discuss the improved results for the associated classes involving subordination and majorization results briefly.
https://ijnaa.semnan.ac.ir/article_3082_32c7c0a2eb966732ef665b9730390061.pdf
2018-08-01
55
68
10.22075/ijnaa.2018.11778.1589
univalent function
starlike function
quasi--subordination
logistic sigmoid function
Fekete-Szego inequality
Murugusundaramoorthy
Gangadharan
gmsmoorthy@yahoo.com
1
Dr. G. Murugusundaramoorthy, Ph.D. Sr.Professor of Mathematics, School of Advanced Sciences, VIT University, Vellore 632 014 India
LEAD_AUTHOR
Sunday Oluwafemi
Olatunji
olatunjiso@futa.edu.ng
2
Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
AUTHOR
O.A.
Fadipe-Joseph
famelov@unilorin.edu.ng
3
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria
AUTHOR
ORIGINAL_ARTICLE
On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo $\small{k}$-fractional derivatives
In this paper we will prove certain Hadamard and Fejer-Hadamard inequalities for the functions whose nth derivatives are convex by using Caputo k-fractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.
https://ijnaa.semnan.ac.ir/article_3083_b8b7d30ba725674609012789386a7b89.pdf
2018-08-01
69
81
10.22075/ijnaa.2018.10724.1521
Convex functions
Hadamard inequality
Fejer-Hadamard inequality
Caputo fractional derivatives
Ghulam
Farid
faridphdsms@hotmail.com
1
Mathematics Department, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan
LEAD_AUTHOR
Anum
Javed
javedanum.38@gmail.com
2
Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan
AUTHOR
ORIGINAL_ARTICLE
Dynamic system of strategic games
Maybe an event can't be modeled completely through one game but there is more chance with several games. With emphasis on players' rationality, we present new properties of strategic games, which result in production of other games. Here, a new attitude to modeling will be presented in game theory as dynamic system of strategic games and its some applications such as analysis of the clash between the United States and Iran in Iraq will be provided. In this system with emphasis on players’ rationality, the relationship between strategic games and explicitly the dynamics present in interactions among players will be examined. In addition, we introduce a new game called trickery game. This game shows a good reason for the cunning of some people in everyday life. Cooperation is a hallmark of human society. In many cases, our study provides a mechanism to move towards cooperation between players.
https://ijnaa.semnan.ac.ir/article_2706_4ba202a0aba8f61e2a61ec9d80aa3be9.pdf
2018-08-01
83
98
10.22075/ijnaa.2017.12774.1657
Dynamic system
game theory
Second Persian Gulf War
Cooperation
Rationality
Madjid
Eshaghi Gordji
meshaghi@semnan.ac.ir
1
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
LEAD_AUTHOR
Gholamreza
Askari
g.askari@semnan.ac.ir
2
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
AUTHOR
ORIGINAL_ARTICLE
Influences of magnetic field in viscoelastic fluid
This communication influences on magnetohydrodynamic flow of viscoelastic fluid with magnetic field induced by oscillating plate. General solutions have been found out for velocity and shear stress profiles using mathematical transformations (Integral transforms). The governing partial differential equations have been solved analytically under boundary conditions u(0,t)=A_0 H(t)sinΩt and u(0,t)=A_0 H(t)cosΩt with t≥0. For the sake of simplicity of boundary conditions are verified on the analytical general solutions and similar solutions have been particularized under three limited cases namely (i). Maxwell fluid with out magnetic field if γ≠0,M=0 (ii). Newtonian fluid with magnetic field if γ=0,M≠0 and (iii). Newtonian fluid with out magnetic field if γ=0,M=0. Finally various physical parameters with variations of fluid behaviors are analyzed and depicted graphical illustrations.
https://ijnaa.semnan.ac.ir/article_3085_6452f001f824094059a183987374f4a3.pdf
2018-08-01
99
109
10.22075/ijnaa.2017.1451.1367
MHD Maxwell fluid
Laplace and Fourier transforms
rheological Parameters
Kashif
Abro
kashif.abro@faculty.muet.edu.pk
1
Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan
LEAD_AUTHOR
Mirza
Baig
baig@neduet.edu.pk
2
Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan
AUTHOR
Mukruram
Hussain
mrmukkarum@yahoo.com
3
Institute of Space Technology, Karachi, Pakistan
AUTHOR
ORIGINAL_ARTICLE
Local higher derivations on C*-algebras are higher derivations
Let $\mathfrak{A}$ be a Banach algebra. We say that a sequence $\{D_n\}_{n=0}^\infty$ of continuous operators form $\mathfrak{A}$ into $\mathfrak{A}$ is a \textit{local higher derivation} if to each $a\in\mathfrak{A}$ there corresponds a continuous higher derivation $\{d_{a,n}\}_{n=0}^\infty$ such that $D_n(a)=d_{a,n}(a)$ for each non-negative integer $n$. We show that if $\mathfrak{A}$ is a $C^*$-algebra then each local higher derivation on $\mathfrak{A}$ is a higher derivation. We also prove that each local higher derivation on a $C^*$-algebra is automatically continuous.
https://ijnaa.semnan.ac.ir/article_3098_2dd5a1ec2b9eb291b3144ecc1e96595e.pdf
2018-08-01
111
115
10.22075/ijnaa.2018.3098
Higher derivation
local higher derivation
Derivation
local derivation
Lila
Naranjani
lnaranjani@yahoo.com
1
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
AUTHOR
Mahmoud
Hassani
mhassanimath@gmail.com
2
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
LEAD_AUTHOR
Madjid
Mirzavaziri
mirzavaziri@um.ac.ir
3
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran
AUTHOR
ORIGINAL_ARTICLE
Numerical resolution of large deflections in cantilever beams by Bernstein spectral method and a convolution quadrature.
The mathematical modeling of the large deflections for the cantilever beams leads to a nonlinear differential equation with the mixed boundary conditions. Different numerical methods have been implemented by various authors for such problems. In this paper, two novel numerical techniques are investigated for the numerical simulation of the problem. The first is based on a spectral method utilizing modal Bernstein polynomial basis. This gives a polynomial expression for the beam configuration. To do so, a polynomial basis satisfying the boundary conditions is presented by using the properties of the Bernstein polynomials. In the second approach, we first transform the problem into an equivalent Volterra integral equation with a convolution kernel. Then, the second order convolution quadrature method is implemented to discretize the problem along with a finite difference approximation for the Neumann boundary condition on the free end of the beam. Comparison with the experimental data and the existing numerical and semi-analytical methods demonstrate the accuracy and efficiency of the proposed methods. Also, the numerical experiments show the Bernstein-spectral method has a spectral order of accuracy and the convolution quadrature methods equipped with a finite difference discretization gives a second order of accuracy.
https://ijnaa.semnan.ac.ir/article_3086_2fa91707207706c3ca97107695829a94.pdf
2018-08-01
117
127
10.22075/ijnaa.2017.11240.1549
Bernstein polynomials
Cantilever beam
Large deflection
Nonlinearity
Convolution quadrature
Mohammadkeya
khosravi
khosravi@student.tugraz.at
1
Institute of Applied Mechanics, Graz University of Technology, Technikerstrasse 4, 8010 Graz, Austria
LEAD_AUTHOR
Mostafa
Jani
mostafa.jani@gmail.com
2
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Solutions of initial and boundary value problems via F-contraction mappings in metric-like space
We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F-Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate our results, we give throughout the paper some examples.
https://ijnaa.semnan.ac.ir/article_3089_b5af7b8a4b803b959039333d370da074.pdf
2018-08-01
129
145
10.22075/ijnaa.2017.1725.1452
Metric-like space
fixed point
F-contraction
boundary value problem
Hemant Kumar
Nashine
drhknashine@gmail.com
1
Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA
AUTHOR
Dhananjay
Gopal
gopaldhananjay@yahoo.in
2
Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India
LEAD_AUTHOR
Dilip
Jain
dilip18pri@gmail.com
3
Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India
AUTHOR
Ahmed
Al-Rawashdeh
ahmedrawashdeh72@yahoo.ca
4
Department of Mathematics, United Arab Emirates University, UAE
AUTHOR
ORIGINAL_ARTICLE
New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces
In this paper, applying hybrid projection method, a new modified Ishikawa iteration scheme is presented for finding a common element of the solution set of an equilibrium problem and the set of fixed points of relatively nonexpansive mappings in Banach spaces. A numerical example is given and the numerical behaviour of the sequences generated by this algorithm is compared with several existence results in literature to illustrate the usability of obtained results.
https://ijnaa.semnan.ac.ir/article_3087_f22c8d3c0741a826a1347239994559cd.pdf
2018-08-01
147
159
10.22075/ijnaa.2018.12168.1614
Equilibrium problems
Fixed point
Hybrid method
Relatively nonexpansive mapping
Weak convergence
Sattar
Alizadeh
salizadeh@marandiau.ac.ir
1
Department of Mathematics,
Marand Branch, Islamic Azad University,
Marand, Iran
LEAD_AUTHOR
Fridoun
Moradlou
fridoun.moradlou@gmail.com
2
Department of Mathematics, Sahand University of Technology, Tabriz, Iran
AUTHOR
ORIGINAL_ARTICLE
Efficient elliptic curve cryptosystems
Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation, which allow efficient implementations of ECC. In this paper, we improve efficient algorithm for exponentiation on elliptic curves defined over Fp in terms of affine coordinates. The algorithm computes directly from random points P and Q on an elliptic curve, without computing the intermediate points. Moreover, we apply the algorithm to exponentiation on elliptic curves with width-w Mutual Opposite Form (wMOF) and analyze their computational complexity. This algorithm can speed up the wMOF exponentiation of elliptic curves of size 160-bit about (21.7 %) as a result of its implementation with respect to affine coordinates.
https://ijnaa.semnan.ac.ir/article_3090_0f826058d0ae814be01864ee304396ac.pdf
2018-08-01
161
174
10.22075/ijnaa.2018.11642.1581
cryptography
elliptic curves
affine coordinates
Mohammad
Saleh
msaleh@birzeit.edu
1
Mathematics Department, Birzeit University, P.O. Box 14, Palestine
LEAD_AUTHOR
Kamal
Darweesh
kdarweesh.scom@gmail.com
2
Applied Mathematics Department, Palestine Technical University--Kadoorie, Tulkarm, Palestine
AUTHOR
ORIGINAL_ARTICLE
Analysis of fully developed flow and heat transfer through n-sided polygonal ducts with round corners using the Galerkin weighted residual method
The Galerkin weighted residuals method is extended solve the laminar, fully developed flow and heat transfer of Al2O3-water nanofluid inside polygonal ducts with round corners for the constant heat flux and uniform wall temperature boundary conditions. Using the method, semi-analytical, closed-form solutions are obtained for the friction coefficient and the Nusselt number in terms of the radius of the round corners for the triangular, rectangular, hexagonal, and octagonal ducts. The effects of varying the radius of the round corners and the volume fraction of the nanoparticles on the friction coefficient and the Nusselt number are analyzed. The results show that the friction factor and the average Nusselt number increase with increasing the radius of the round corners. The study indicates that the Galerkin weighted residuals method is an accurate and efficient technique to obtain closed-form solutions for the flow and temperature fields in ducts with complex cross sectional shapes.
https://ijnaa.semnan.ac.ir/article_3088_401f00e4daaf23f9740067ab22865a13.pdf
2018-08-01
175
193
10.22075/ijnaa.2017.10429.1502
Fully developed flow
Polygonal ducts
Semi-analytic solutions
Galerkin weighted residual method
Nanofluid
Ali Akbar
Abbasian Arani
abbasian@kashanu.ac.ir
1
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
AUTHOR
Ali
Arefmanesh
arefmanesh@kashanu.ac.ir
2
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
AUTHOR
Amirhossein
Niroumand
ahnmechanics@gmail.com
3
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
(JCLR) property and fixed point in non-Archimedean fuzzy metric spaces
The aim of the present paper is to introduce the concept of joint common limit range property ((JCLR) property) for single-valued and set-valued maps in non-Archimedean fuzzy metric spaces. We also list some examples to show the difference between (CLR) property and (JCLR) property. Further, we establish common fixed point theorems using implicit relation with integral contractive condition. Several examples to illustrate the significance of our results are given.
https://ijnaa.semnan.ac.ir/article_3092_2f1f766d89f68e23e74e6d57c2a062e0.pdf
2018-08-01
195
201
10.22075/ijnaa.2018.10861.1529
Fixed point
(JCLR) property
non-Archimedean fuzzy metric space
hybrid map
Ismat
Beg
ibeg@lahoreschool.edu.pk
1
Lahore School of Economics, Lahore, Pakistan
LEAD_AUTHOR
M.
Ahmed
mahmed68@yahoo.com
2
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
AUTHOR
N.
Nafadi
hatem9007@yahoo.com
3
Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt
AUTHOR
ORIGINAL_ARTICLE
Endpoints of multi-valued cyclic contraction mappings
Endpoint results are presented for multi-valued cyclic contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Nadler (1969), Daffer-Kaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).
https://ijnaa.semnan.ac.ir/article_3093_e6242ec1c326609daf7f125e152ae988.pdf
2018-08-01
203
210
10.22075/ijnaa.2018.3093
Multi-valued mapping
Generalized weak contraction
Endpoint
Hausdorff metric
Sirous
Moradi
sirousmoradi@gmail.com
1
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Fractional Hermite-Hadamard type inequalities for n-times log-convex functions
In this paper, we establish some Hermite-Hadamard type inequalities for function whose n-th derivatives are logarithmically convex by using Riemann-Liouville integral operator.
https://ijnaa.semnan.ac.ir/article_3094_ca41a655282c9d139a02d65706aa0d5c.pdf
2018-08-01
211
221
10.22075/ijnaa.2018.12016.1601
Integral inequality
log-convex function
Hölder inequality
power mean inequality
Nawel
Ouanas
ouanasnawel@yahoo.fr
1
Departement des Mathematiques, Faculte des Mathematiques, de l'informatique et des sciences de la matiere, Universite 8 May 1945 Guelma, Algeria
AUTHOR
Badreddine
Meftah
badrimeftah@yahoo.fr
2
Laboratoire des tecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.
LEAD_AUTHOR
Meriem
Merad
mrad.meriem@gmail.com
3
Departement des Mathematiques, Faculte des Mathematiques, de l'informatique et des sciences de la matiere, Universite 8 May 1945 Guelma, Algeria
AUTHOR
ORIGINAL_ARTICLE
A new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces
In this paper, we introduce a new iterative scheme to approximate a common fixed point for a finite family of nonexpansive non-self mappings. Strong convergence theorems of the proposed iteration in Banach spaces.
https://ijnaa.semnan.ac.ir/article_3095_d8a45ff392ad80350a74ef5cf80f13b7.pdf
2018-08-01
223
234
10.22075/ijnaa.2018.1596.1416
nonexpansive non-self mappings
Common xed points
Banach spaces
Pornsak
Yatakoat
p_yatakoat@npu.ac.th
1
Division of Mathematics, Faculty of Sciences, Nakhon Phanom University, Nakhon Phanom 48000, Thailand
LEAD_AUTHOR
ORIGINAL_ARTICLE
Homomorphism Weak amenability of certain Banach algebras
In this paper we introduce the notion of $\varphi$-commutativity for a Banach algebra $A$, where $\varphi$ is a continuous homomorphism on $A$ and study the concept of $\varphi$-weak amenability for $\varphi$-commutative Banach algebras. We give an example to show that the class of $\varphi$-weakly amenable Banach algebras is larger than that of weakly amenable commutative Banach algebras. We characterize $\varphi$-weak amenability of $\varphi$-commutative Banach algebras and prove some hereditary properties. Moreover we verify some of the previous available results about commutative weakly amenable Banach algebras, for $\varphi$-commutative $\varphi$-weakly amenable Banach algebras.
https://ijnaa.semnan.ac.ir/article_3099_3c9686cd0612388fda1d7fbfe656ad40.pdf
2018-08-01
235
245
10.22075/ijnaa.2018.1201.1276
Banach algebra
$varphi$-commutative
$varphi$-derivation
$varphi$-weakly amenability
Hamid
Sadeghi
sadeghi@sci.ui.ac.ir
1
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran
LEAD_AUTHOR
Mahmmod
Lashkarizadeh
lashkarizadeh@sci.ui.ac.ir
2
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran
AUTHOR
ORIGINAL_ARTICLE
Higher order multi-point fractional boundary value problems with integral boundary conditions
In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed point index, Avery-Henderson fixed point theorem and the Legget-Williams fixed point theorem, respectively.
https://ijnaa.semnan.ac.ir/article_3096_c23cec9aa516bada1c5c4819b2c9df69.pdf
2018-08-01
247
260
10.22075/ijnaa.2018.13610.1708
Boundary value problems
cone
fixed point theorems
positive solutions
Riemann-Liouville fractional derivative
integral boundary conditions
İsmail
Yaslan
iyaslan@pau.edu.tr
1
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
LEAD_AUTHOR
Mustafa
Gunendi
mustafa_87875@hotmail.com
2
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
AUTHOR