• On a regularized solution of the cauchy problem for matrix factorizations of the Helmholtz equation 

  Juraev, Davron Aslonqulovich; Noeiaghdam, Samad; Agarwal, Praveen (Işık University Press, 2023-10-01)

  In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a multidimensional bounded domain from their values on a part of the boundary of this domain, i.e., the ...

• Investigation of the Conjugate gradient methods in solving the unconstrained nonlinear optimization problem and its applications 

  Shakir, Amel Nashat; Taha, Forat Mohammed (Işık University Press, 2026-03-01)

  In this paper, we consider various types of methods such as; Newton, QuasiNewton, Conjugate gradient, Trust region algorithm and etc. to solve an unconstrained nonlinear optimization problem. in most practical applications, ...

• Newly developed single-step block method for numerical solution of fourth order ordinary differential equations 

  Adebiyi, Adebayo Femi; Udoye, Adaobi Mmachukwu; Akinola, Lukman Shina; Mathew, David Adeleke (Işık University Press, 2026-03-01)

  This paper focuses on the development of a new block method for solving fourth order initial value problems of ordinary differential equations. Applying Chebyshev polynomial as a basis function, the method was developed ...

• Inverse and connected domination in Hypertree Networks 

  Shalini, V.; Rajasingh, Indra (Işık University Press, 2026-03-01)

  A dominating set of a graph G = (V, E) is a subset D of vertices such that every vertex in V \ D is adjacent to at least one vertex in D, and the minimum size of such a set is called the domination number denoted by γ(G). ...

• Injective coloring of central graphs 

  Mirdamad, Shahrzad Sadat; Mojdeh, Doost Ali (Işık University Press, 2026-03-01)

  For a given graph G = (V (G), E(G)), researchers have introduced different colorings based on the distances of the vertices. An injective coloring of a graph G is an assignment of colors to the vertices of G such that no ...

• Existence and uniqueness results for the bending elastic beam equations 

  Jonnalagadda, Jagan Mohan; Chakraverti, Sukriti; Jain, Vanshika (Işık University Press, 2026-03-01)

  We examine the existence and uniqueness of solutions to a particular class of two-point boundary value problems involving fourth-order ordinary differential equations. These problems have fascinating applications in the ...

• On separation properties in soft topological spaces 

  Hamouda, Essam H. (Işık University Press, 2026-03-01)

  In this paper, we explore separation axioms Ti, for i = 0, 1, 2, within the framework of soft topological spaces, utilizing the concept of soft points as defined in [16]. We define T0 and T1 in terms of the mapping τF and ...

• Bernstein-type inequalities for complex polynomials 

  Shamoradi, Mahboobeh; Bidkham, Mahmood (Işık University Press, 2026-03-01)

  Considering a class of polynomials G(z) = anzⁿ + Σnv=t an−vzⁿ⁻ᵛ, 1 ≤ t ≤ n having all it’s zeros in the disk |z| ≤ k, k ≤ 1, we present a generalization and improvement of results by Malik and Vong[8]. Also a variety of ...

• Existence of periodic solutions for first order impulsive differential equations with a deviating argument 

  Benhammou, Samir; Moutaouekkil, Loubna (Işık University Press, 2026-03-01)

  In this paper, we study the existence of periodic solutions for a kind of first-order impulsive differential equation with a deviating argument by using Mawhin’s continuation theorem. Meanwhile, we give an exampleto ...

• Partial controllability of semilinear systems 

  Bashirov, Agamirza E. (Işık University Press, 2026-03-01)

  The paper considers semilinear control system in the product of Hilbert spaces X = H × G driven by densely defined closed linear operator A generating a strongly continuous semigroup. For the linear operator L, projecting ...

• Approximating fixed points of nonexpansive mappings in uniformly convex hyperbolic spaces 

  Arfah, Arfah (Işık University Press, 2026-03-01)

  This paper investigates the convergence of an iterative process to a fixed point of nonexpansive mappings in uniformly convex hyperbolic spaces. First, we analyze the iteration scheme introduced by Karakaya et al. for such ...

• Proposed mathematical equation for evaluating the residual punching shear capacity of high-performance concrete slabs after being subjected to impact loading 

  Al-Zahid, Ali Adnan (Işık University Press, 2026-02-01)

  The research investigates the validity of high-performance concrete slabs under punching shear after they are exposed to impact load. The importance of this study lies in opening new avenues for researchers regarding slabs ...

• Weaker forms of open sets in Pythagorean Fuzzy nano topological spaces and its application using entropy measure 

  Deivanayagi, P.; Tamilselvan, S.; Vadivel, Appachi (Işık University Press, 2026-02-01)

  In this paper, we introduce a Pythagorean Fuzzy nano M-open set which is the union of Pythagorean Fuzzy nano δP-open sets and Pythagorean Fuzzy nano θS-open sets in Pythagorean Fuzzy nano topological spaces. Also, we discuss ...

• q*-Rung orthopair neutrosophic subspaces and nodec spaces 

  Shyamaladevi, Vaiyanan; Revathi, Govindasamy Krishnamoorthy (Işık University Press, 2026-02-01)

  The study explores the concept of q*-rung orthopair neutrosophic topological spaces, beginning with foundational results on q*-rung orthopair neutrosophic sets. It defines subspace topology within these spaces and analyzes ...

• Fractional-order modeling of Zika virus transmission: analysis and numerical simulations 

  Shah, Kunjankumar N.; Parmar, Jayashree; Patel, Jaydev S.; Patel, Himanshu C. (Işık University Press, 2026-02-01)

  This study presents a novel mathematical framework for modeling Zika virüs transmission dynamics within human populations and between humans and mosquitoes, utilizing a fractional-order Caputo derivative. The study establishes ...

• On some families of Linear Diophantine graphs 

  Salama, Omar Mohamed; Seoud, Mohammed Abdel Azim; Anwar, Mohamed; Elsonbaty, Ahmed (Işık University Press, 2026-02-01)

  Linear Diophantine labeling of graphs is an extension of the prime labeling of graphs. In this manuscript, we introduce some necessary conditions for determining whether a given graph admits Linear Diophantine labeling or ...

• Exploring fractional calculus operators in context with extended hypergeometric and confluent hypergeometric function: image formulas and applications 

  Chandola, Ankita; Mishra, Manish Kumar (Işık University Press, 2026-02-01)

  Fractional calculus in mathematics has various applications in engineering and science, inequality theory and is also used in solving various integral equations. In the past few years, fractional calculus operators that ...

• On hyper complex numbers with higher order balancing numbers components 

  Mohanty, Ritanjali; Mahato, Hrishikesh (Işık University Press, 2026-02-01)

  In this article, we define higher-order balancing numbers. Next, we employ higher-order balancing numbers to present a novel family of hyper complex numbers. These families are referred to as the higher-order balancing ...

• Error quantification for approximation in generalized Zygmund classes using three-harmonic Poisson integrals 

  Krasniq, Xhevat Z. (Işık University Press, 2026-02-01)

  This paper examines the error in approximation within generalized Zygmund classes using three-harmonic Poisson integrals. The error is measured using two moduli of continuity of order two, within the relevant norm, providing ...

• Interval-valued intuitionistic quadri-partitioned neutrosophic sets in psychological research with examples and theoretical insights 

  Sai Anu, P.; Arulselvam, A. (Işık University Press, 2026-02-01)

  This manuscript presents a comprehensive study of interval-valued intuitionistic quadri-partitioned neutrosophic sets (IVIQPNSs) and their combination with soft sets (IVIQPNSSs), focusing on the relationships between the ...

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