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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, 2022-12-05)
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, 2022-12-01)
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 P-functions, 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 so-called 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 nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem ...
• A Numerical Investigation of the Buckling of Doubly Clamped Nano-Actuators Governed by an Integro-Differential 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 nano-actuators under nonlinear forces. Our solution is convergent. The nano-actuators problem ...
• n-Absorbing Ideals of Commutative Rings and Recent Progress on Three Conjectures: A Survey ﻿

(Springer, 2017)
• On 1-absorbing primary ideals of commutative rings ﻿

(World Scientific, 2019-04-30)
Let R be a commutative ring with nonzero identity. In this paper, we introduce the concept of 1-absorbing primary ideals in commutative rings. A proper ideal I of R is called a 1-absorbing primary ideal of R if whenever ...
• On Weakly 1-Absorbing 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 1-absorbing primary ideal which is a generalization of 1-absorbing primary ideal. A proper ideal I of R is called a weakly 1-absorbing ...
• On n-semiprimary ideals and n-pseudo valuation domains ﻿

(Taylor and Francis, 2020-08-14)
• The n-zero-divisor graph of a commutative semigroup ﻿

(Taylor and Francis, 2022-04-16)
Let S be a (multiplicative) commutative semigroup with 0, Z(S) the set of zero-divisors of S, and n a positive integer. The zero-divisor 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 single-transfer faults, all transitions using a transition tour, all-uses, edge-pair, 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)𝑑|Dˢ𝑢| 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 left-skewed, right-skewed and symmetrical shapes. ...
• Using Fractional Bernoulli Wavelets for Solving Fractional Diffusion Wave Equations with Initial and Boundary Conditions ﻿

(MDPI, 2021)
In this paper, fractional-order 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 discrete-time predator-prey model ﻿

(American Institute of Mathematical Sciences, 2022)
The change of behaviors of prey in the form of vigilance significantly affects the dynamics of a predator-prey system. In this paper, we consider a discrete-time predator-prey model, where the vigilance of prey acts as a ...
• Embedding and global stability in periodic 2-dimensional maps of mixed monotonicity ﻿

(Elsevier, 2022-02)
In this paper, we consider nonautonomous second order difference equations of the form xn+1 = F(n, xn, xn−1), where F is p-periodic in its first component, non-decreasing in its second component and non-increasing 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 two-phase 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 ...