Department of Mathematics and Statistics
Work by the faculty and students of the Department of Mathematics and Statistics
Recent Submissions

Modeling of the In Vitro Release Kinetics of Sonosensitive Targeted Liposomes
(MDPI, 20221205)Targeted liposomes triggered by ultrasound are a promising drug delivery system as they potentially improve the clinical outcomes of chemotherapy while reducing associated side effects. In this work, a comprehensive model ... 
Graph of Linear Transformations Over R
(Springer, 20221201)In this paper, we study a connection between graph theory and linear transformations of finite dimensional vector spaces over R (the set of all real numbers). Let Rm, Rn be finite vector spaces over R, and let L be the set ... 
Maximum principles and overdetermined problems for Hessian equations
(ISTE Group, 2021)In this article we investigate some Hessian type equations. Our main aim is to derive new maximum principles for some suitable Pfunctions, in the sense of L.E. Payne, that is for some appropriate functional combinations ... 
Fractional Integrodifferentiation and Toeplitz Operators with Vertical Symbols
(Birkhäuser, 2020)We consider the socalled vertical Toeplitz operators on the weighted Bergman space over the half plane. The terminology “vertical” is motivated by the fact that if a is a symbol of such Toeplitz operator, then a(z) depends ... 
On the powers of quasihomogeneous Toeplitz operators
(Springer, 2021)In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nanoactuators under nonlinear forces. Our solution is convergent. The nanoactuators problem ... 
A Numerical Investigation of the Buckling of Doubly Clamped NanoActuators Governed by an IntegroDifferential Equation
(Springer, 2022)In this article, a fixed point iterative scheme involving Green's function is applied to reach a solution for the buckling of nanoactuators under nonlinear forces. Our solution is convergent. The nanoactuators problem ... 
On 1absorbing primary ideals of commutative rings
(World Scientific, 20190430)Let R be a commutative ring with nonzero identity. In this paper, we introduce the concept of 1absorbing primary ideals in commutative rings. A proper ideal I of R is called a 1absorbing primary ideal of R if whenever ... 
On Weakly 1Absorbing Primary Ideals of Commutative Rings
(World Scientific, 2022)Let R be a commutative ring with 1 ≠ 0. In this paper, we introduce the concept of weakly 1absorbing primary ideal which is a generalization of 1absorbing primary ideal. A proper ideal I of R is called a weakly 1absorbing ... 
On nsemiprimary ideals and npseudo valuation domains
(Taylor and Francis, 20200814) 
The nzerodivisor graph of a commutative semigroup
(Taylor and Francis, 20220416)Let S be a (multiplicative) commutative semigroup with 0, Z(S) the set of zerodivisors of S, and n a positive integer. The zerodivisor graph of S is the (simple) graph Γ(S) with vertices Z(S) ∗ = Z(S) \ {0}, and distinct ... 
Assessing test suites of extended finite state machines against model and code based faults
(John Wiley & Sons, 2021)Tests can be derived from extended finite state machine (EFSM) specifications considering the coverage of singletransfer faults, all transitions using a transition tour, alluses, edgepair, and prime path with side trip. ... 
Lower Semicontinuity in L¹ of a Class of Functionals Defined on BV with Caratheodory Integrands
(Hindawi Limited, 2021)We prove lower semicontinuity in 𝐿¹(Ω) for a class of functionals 𝒢 :𝐵𝑉(Ω) →ℝ of the form 𝒢(𝑢)=∫Ω𝑔(𝑥, 𝛻𝑢)𝑑𝑥 + ∫Ω𝜓(𝑥)𝑑Dˢ𝑢 where 𝑔 :Ω⨉ℝᴺ→ℝ, Ω⊂ℝᴺ is open and bounded, 𝑔(.,𝑝) ∊ 𝐿¹(Ω) for each 𝑝 satisfies ... 
The Kumaraswamy Pareto IV Distribution
(Austrian Statistical Society, 2021)We introduce a new model named the Kumaraswamy Pareto IV distribution which extends the Pareto and Pareto IV distributions. The density function is very flexible and can be leftskewed, rightskewed and symmetrical shapes. ... 
Using Fractional Bernoulli Wavelets for Solving Fractional Diffusion Wave Equations with Initial and Boundary Conditions
(MDPI, 2021)In this paper, fractionalorder Bernoulli wavelets based on the Bernoulli polynomials are constructed and applied to evaluate the numerical solution of the general form of Caputo fractional order diffusion wave equations. ... 
The role of vigilance on a discretetime predatorprey model
(American Institute of Mathematical Sciences, 2022)The change of behaviors of prey in the form of vigilance significantly affects the dynamics of a predatorprey system. In this paper, we consider a discretetime predatorprey model, where the vigilance of prey acts as a ... 
Embedding and global stability in periodic 2dimensional maps of mixed monotonicity
(Elsevier, 202202)In this paper, we consider nonautonomous second order difference equations of the form xn+1 = F(n, xn, xn−1), where F is pperiodic in its first component, nondecreasing in its second component and nonincreasing in its ... 
Joshi’s Split Tree for Option Pricing
(MDPI, 2020)In a thorough study of binomial trees, Joshi introduced the split tree as a twophase binomial tree designed to minimize oscillations, and demonstrated empirically its outstanding performance when applied to pricing American ... 
Compound distributions for financial returns
(PLOS, 2020)In this paper, we propose six Student’s t based compound distributions where the scale parameter is randomized using functional forms of the half normal, Fréchet, Lomax, Burr III, inverse gamma and generalized gamma ... 
Ramsey numbers of partial order graphs (comparability graphs) and implications in ring theory
(De Gruyter, 2020)For a partially ordered set(A, ≤), letGA be the simple, undirected graph with vertex set A such that two vertices a ≠ ∈ b A are adjacent if either a ≤ b or b a ≤ . We call GA the partial order graph or comparability graph ...