Mathematics, Volume 7, Issue 2

In this research, a singly diagonally implicit block backward differentiation formulas (SDIBBDF) for solving stiff ordinary differential equations (ODEs) is proposed. The formula reduced a fully implicit method to lower triangular matrix with equal d...

Let $1<a<b<c<d$ and ${\widehat{\alpha }}_{\left[5\right]}:={\left(1,\sqrt{a},\sqrt{b},\sqrt{c},\sqrt{d}\right)}^{\wedge }$ be a weighted sequence that is recursively generated by five weights $1,\sqrt{a},\sqrt{b},$ $\sqrt{c},\sqrt{d}$ . In this paper, we give suff...

In this paper, we study a classification of symmetric $(1,1)$ -coherent pairs by using a symmetrization process. In particular, the positive-definite case is carefully described.

When analyzing the possibility of supporting the decision-making process, one should take into account the essential properties of economic entities (the system and its objects). As a result, the development of an effective business model ought to be...

This paper studies the existence of mild solutions and the compactness of a set of mild solutions to a nonlocal problem of fractional evolution inclusions of order $\alpha \in (1,2)$ . The main tools of our study include the concepts of...

Let $\gamma (D)$ denote the domination number of a digraph D and let $C_m\square C_n$ denote the Cartesian product of $C_m$ and $C_n$ , the directed cycles of length $n\ge m\ge 3$ . Liu et al. obtained the exact valu...

Fractional calculus image formulas involving various special functions are important for evaluation of generalized integrals and to obtain the solution of differential and integral equations. In this paper, the Saigo’s fractional integral opera...

We present a local convergence of the combined Newton-Kurchatov method for solving Banach space valued equations. The convergence criteria involve derivatives until the second and Lipschitz-type conditions are satisfied, as well as a new center-Lipsc...

We consider Ulisse Dini-type helicoidal hypersurfaces with timelike axis in Minkowski 4-space ${\mathbb{E}}_1^4$ . Calculating the Gaussian and the mean curvatures of the hypersurfaces, we demonstrate some special symmetries for the curvatures when they...

Stanley depth is a geometric invariant of the module and is related to an algebraic invariant called depth of the module. We compute Stanley depth of the quotient of edge ideals associated with some familiar families of wheel-related graphs. In parti...

Let k be a positive integer, and set $\left[k\right]:=\{1,2,\dots ,k\}$ . For a graph G, a k-rainbow dominating function (or kRDF) of G is a mapping $f:$ $V\left(G\right)\to 2^{\left[k\right]}$ in such a way that, for any vertex $v\&isin$...

Matrix F^{^} derived from the Fibonacci sequence was first introduced by Kara (2013) and the spaces l_p(F) and l_∞(F); (1 ≤ p < ∞) were examined. Then, Başarır et al. (2015) defined the spaces c₀(F) and c(F) and Candan (2015) examined th...

In this paper, stability analysis of a fractional-order linear system described by the Caputo–Fabrizio (CF) derivative is studied. In order to solve the problem, character equation of the system is defined at first by using the Laplace transfor...

The Resistance-Harary index of a connected graph G is defined as $RH\left(G\right)={\displaystyle \sum _{\{u,v\}\subseteq V\left(G\right)}}\frac{1}{r(u,v)}$ , where $r(u,v)$ is the resistance distance between vertices u and v in G. A graph G is called a...

In this paper, a new modified roller coaster surface according to a modified orthogonal frame is investigated in Euclidean 3-space. In this method, a new modified roller coaster surface is modeled. Both the Gaussian curvature and mean curvature of ro...

We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function. Finally, we conclude that i...

The sculptor adapts the geometry of spline surfaces commonly used in 3D modeling programs in order to translate some of the topological nature of these virtual surfaces into his sculpture. He realizes the patchwise geometry of such surfaces by gluing...

We generalize a family of optimal eighth order weighted-Newton methods to Banach spaces and study their local convergence. In a previous study, the Taylor expansion of higher order derivatives is employed which may not exist or may be very expensive...

In this paper, we study free probability on (weighted-)semicircular elements in a certain Banach *-probability space $(\mathfrak{LS},$ ${\tau }^0)$ induced by measurable functions on p-adic number fields ${\mathbb{Q}}_p$ over primes $p$ . In pa...

Shift scheduling problems (SSPs) are advanced NP-hard problems which are generally evaluated with integer programming. This study presents an applicable shift schedule of workers in a large-scale natural gas combined cycle power plant (NGCCPP), which...

In the present work, the concept of $\mathcal{F}$ -generalized contractive type mappings by using $C$ -class functions is introduced, and some common fixed point results for weakly isotone increasing set-valued mappings in the setting of ordered partial...

The purpose of this paper is to introduce the notion of generalized multivalued $\left(\psi ,\varphi \right)$-type contractions and generalized multivalued $\left(\psi ,\varphi \right)$-type Suzuki contractions and establish some new common fixed point theorems for such multivalued...

In this work, we study an impulsive sub-diffusion equation as a fractional diffusion equation of order $\alpha \in (0,1)$ . Existence, uniqueness and regularity of solution of the problem is established via eigenfunction expansion. Moreo...

A divergence measure plays a crucial part in discriminating two probability distributions and drawing inferences constructed on such discrimination. The intention of this study is to propose such a divergence measure based on Jensen inequality and ex...

This study develops an integrated production-inventory model for a two-echelon supply chain network with controllable probabilistic deterioration. The investment in preservation technology is considered a decision variable to control the deteriorated...

In this paper, a consensus-based method for multi-person decision making (MPDM) using product transitivity with incomplete fuzzy preference relations (IFPRs) is proposed. Additionally, an average aggregation operator has been used at the first level...

In this article, by using the monotone iterative technique coupled with the method of upper and lower solution, we obtain the existence of extremal iteration solutions to conformable fractional differential equations involving Riemann-Stieltjes integ...

In this paper, we introduce a multiple hybrid implicit iteration method for finding a solution for a monotone variational inequality with a variational inequality constraint over the common solution set of a general system of variational inequalities...

In this contribution, we define a new operator sequence which contains analytic functions. Using approximation techniques found by Korovkin, some results are derived. Moreover, a generalization of this operator sequence called Kantorovich type genera...

This paper is devoted to studying the existence of best proximity points and convergence for a class of generalized contraction pairs by using the concept of proximally-complete pairs and proximally-complete semi-sharp proximinal pairs. The obtained...

New Monte Carlo algorithms for solving the Cauchy problem for the second order parabolic equation with smooth coefficients are considered. Unbiased estimators for the solutions of this problem are constructed.

A mathematical model of economic growth with fading memory and continuous distribution of delay time is suggested. This model can be considered as a generalization of the standard Keynesian macroeconomic model. To take into account the memory and gam...

Existing fuzzy analytic hierarchy process (FAHP) methods usually aggregate the fuzzy pairwise comparison results produced by multiple decision-makers (DMs) rather than the fuzzy weights estimations. This is problematic because fuzzy pairwise comparis...

The third and fourth pseudo-Chebyshev irrational functions of half-integer degree are defined. Their definitions are connected to those of the first- and second-kind pseudo-Chebyshev functions. Their orthogonality properties are shown, with respect t...

By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk $\mathbb{U}$ . In particular, we find the Hankel determinant...

Supplier selection is one of the most important multi-criteria decision-making (MCDM) problems for decision-makers in the competitive market. Today’s organizations are seeking new ways to reduce the negative effects they have on the environment...

In this paper, we introduced some new integral inequalities of the Hermite–Hadamard type for functions whose second derivatives in absolute values at certain powers are strongly $\eta$ -convex functions via the Katugampola fractional integrals.

Locating node technology, as the most fundamental component of wireless sensor networks (WSNs) and internet of things (IoT), is a pivotal problem. Distance vector-hop technique (DV-Hop) is frequently used for location node estimation in WSN, but it h...

Recently, it was observed that the concentration/heat transfer of pure/nano fluids are finally governed by singular second-order boundary value problems with exponential coefficients. These coefficients were transformed into polynomials and therefore...

In this paper, we consider a theory of elements u of a groupoid $(X,\ast )$ that are associated with certain functions $\widehat{u}:X\to X$ , pseudo-inverse functions, which are generalizations of the inverses associated with units...

This article is devoted to the investigation of dual and annihilator normed algebras. Their structure is studied in the paper. Extensions of algebras and fields are considered and by using them, core radicals and radicals are investigated. Moreover,...

In this paper, we discuss the cumulative measure of inaccuracy in k-lower record values and study characterization results of dynamic cumulative inaccuracy. We also present some properties of the proposed measures, and the empirical cumulative measur...

Fabric surfaces, made using techniques such as crochet and net-making, are typically worked in a linear order that meanders, without crossing itself, to ultimately visit and build the entire surface. For a closed basket, whose surface is a topologica...

Intuitionistic fuzzy multiple attribute decision making deals with the issue of ranking alternatives based on the decision information quantified in terms of intuitionistic fuzzy values. Lexicographic orders can serve as efficient and indispensable t...

In this work, we study the inclusion problem of the sum of two monotone operators and the fixed-point problem of nonexpansive mappings in Hilbert spaces. We prove the weak and strong convergence theorems under some weakened conditions. Some numerical...

In this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and $\beta$ -Kenmotsu manifolds. The new Levi–Civita covariant derivative of the new...

A hybrid segmentation algorithm is proposed is this paper to extract the blood vessels from the fundus image of retina. Fundus camera captures the posterior surface of the eye and the captured images are used to diagnose diseases, like Diabetic Retin...

In this paper, the Lax pair of the modified nonlinear Schrödinger equation (mNLS) is derived by means of the prolongation structure theory. Based on the obtained Lax pair, the mNLS equation on the half line is analyzed with the assistance of Fok...

In this paper, we introduce a new graph operation called subdivision vertex-edge join (denoted by $G_1^S▹(G_2^V\cup G_3^E)$ for short), and then the adjacency spectrum, the Laplacian spectrum and the signless Laplacian spectrum of...

Finding a simple root for a nonlinear equation $f\left(x\right)=0$ , $f:I\subseteq \mathbb{R}\to \mathbb{R}$ has always been of much interest due to its wide applications in many fields of science and engineering. Newton’s method is usually applied to s...