• Typical families and T-compactness in proximity spaces 

  Almohammed, Raghad; AL-Ftlawy, Dunia M.K.; Habeeb, Nadiha Abed; Al-Swidi, Luay (Işık University Press, 2026-10-01)

  In this work we introduce a family of subsets of a proximity space, called the typical family, defined as the complement of a cluster family, and we study its main properties and its relation to the cluster concept. We ...

• Wiener and Harary indices of the generalized zero-divisor graph 

  Khairnar, Anil; Lande, Anita; Bhavar, Geetali; Phatangare, Nanasaheb (Işık University Press, 2026-10-01)

  Let R be a commutative ring, and let Z∗(R) denote the set of all non-zero zero-divisors in R. The generalized zero-divisor graph of R, denoted by Γ′(R), is a simple (undirected) graph with the vertex set Z∗(R), and two ...

• General fuzzy automata under semantically similar environment: an application to enhanced search engine performance 

  Kaur, Ranjeet; Tripathi, Alka (Işık University Press, 2026-10-01)

  Automata theory provides a systematic framework for modelling computational processes; however, many real-world systems require greater adaptability and flexibility. This paper presents a general fuzzy automata model (GF ...

• A flexible Unit Chen quantile regression model for bounded response data: estimation, model diagnostics, and applications 

  Salih, Ahmed Mahdi; Al-Majidi, Arkan Jebur (Işık University Press, 2026-10-01)

  Bounded response variables are common in disciplines such as dependability, finance, environmental sciences, and biostatistics, where traditional regression models based on the conditional mean may fail to capture varied ...

• α-Pre-e-convex and α-e-convex functions with applications to mathematical programming 

  Meena, Seema; Ojha, Deo Brat (Işık University Press, 2026-10-01)

  In this paper, we establish a new class of E-convexity, namely α-pre-Econvexity. We define α-pre-E-convex function (need not E-convex function), α-prepseudoE-convex function and discuss some properties of α-pre-E-convex ...

• Rough graph approximations via symmetry groups: automorphisms and permutations 

  Hafez, Hamdy M. (Işık University Press, 2026-10-01)

  Recently, rough graphs have received considerable attention for their ability to model imprecise information in graphical data. By leveraging rough set theory, rough graphs address uncertainty through approximation and ...

• Existence of solution for infinite system of fractional differential equation in the sequence space n(ϕ) using Meir-Keeler condensing operator 

  Begum, Washmin Ara; Das, Rituparna (Işık University Press, 2026-10-01)

  In this paper, we investigate the existence of solutions of an infinite system of fractional differential equations in the sequence spaces n(ϕ). We use the Meir-Keeler condensing operator concept in conjunction with the ...

• Location eccentric dominating set in simple graphs 

  Hussain, R. Jahir; Begam, A. Fathima (Işık University Press, 2026-10-01)

  In this paper we define location eccentric dominating set, location eccentric domination number. The location eccentric dominating set with minimum cardinality is defined as referencing eccentric dominating set that is ...

• Symbolic differentiation algorithms for hyperbolic perturbation problems with Neumann conditions using asymptotic formulas and uniform difference schemes 

  Ashyralyev, Allaberen; Yıldırım, Özgür (Işık University Press, 2026-09-01)

  In this paper, we investigate asymptotic formulas and ε-uniform difference schemes for the numerical solution of perturbation problems. Unfortunately, both of these numerical methods involving sine and cosine fitting ...

• A high-order Caputo-based numerical scheme for approximating the one-dimensional time-independent fractional Schrödinger equation 

  Habibzadeh, Hojjat; Shahriari, Mohammad; Shokri, Ali; Khalsaraei, Mohammad Mehdizadeh (Işık University Press, 2026-09-01)

  The time-independent fractional Schrödinger equation is pivotal for modeling quantum systems exhibiting nonlocal interactions and anomalous dispersion, for which analytical solutions are often intractable. This paper ...

• The Quantile Garch-Distributed Lag (QGDL) framework: a unified model for high-volatility time series 

  Mousa, Maryam Jumaa; Hmood, Munaf Yousif (Işık University Press, 2026-09-01)

  The essence of this article is that it has developed the Quantile GARCHDistributed Lag (QGDL) model as a recent and superior model to the QARDL model. Although the QARDL model is only able to deal with asymmetric relationships ...

• Sensitivity and optimizing dengue control in a two-time-delay transmission model 

  Prakash Raj, Murugadoss; Venkatesh, Ambalarajan; Kumar, Karuppusamy Arun; Manivel, M. (Işık University Press, 2026-09-01)

  This study presents a detailed analysis of a dengue transmission model that incorporates two biologically motivated time delays, representing the intrinsic and extrinsic incubation periods in host-vector interactions. Based ...

• Isolate domination in the class of unicyclic graphs 

  Vaidya, Samir; Kelaiya, Jeel (Işık University Press, 2026-09-01)

  A subset D of the vertex set V of a graph G is called a dominating set of G if every vertex in V − D is adjacent to a vertex in D. A dominating set D such that < D > has an isolated vertex is called an isolate dominating ...

• On a subclass of tilted starlike functions associated with epicycloid domain 

  Senin, Nur Athirah Hani; Yunus, Yuzaimi; Abdul Wahid, Nur Hazwani Aqilah; Omar, Rashidah (Işık University Press, 2026-09-01)

  This paper investigates a subclass of analytic and univalent functions defined on the open unit disk. A new subclass of tilted starlike functions associated with an epicycloid-shaped domain is defined. These functions are ...

• Properties and real data application of the Sine Alpha Power Burr XII regression model 

  Mahdi Salih, Ahmed; Hamoodi, Amal Sadeq (Işık University Press, 2026-09-01)

  We propose the Sine Alpha Power Burr XII (SAP Burr XII) distribution, obtained by applying the Sine Alpha Power transformation to the Burr XII distribution. and develop an accelerated failure time (AFT) regression model, ...

• Structural mathematics of dendrimers through complementary topological indices 

  Pacheco, Diego Julio; Ponciano, Vitor dos Santos (Işık University Press, 2026-09-01)

  Topological indices are key molecular descriptors in theoretical chemistry, nanotechnology and molecular modeling, linking structural and physicochemical properties. Recent advances in graph theory have broadened the ...

• Regularized logistic regression with the Atan in high dimensional data 

  Yousif, Ali Hameed; Kadhum Mezher, Zainab; Ali Dhumad, Najlaa (Işık University Press, 2026-08-01)

  Logistic regression models play an important role in analyzing binary classification problems in medical and biological data. One common method for estimating the parameters of a logistic regression model is the maximum ...

• Numerical approximation of ABC-type fractional equations using a Vieta-Lucas polynomial 

  Noman, Ghadah Sultan Esmail; Pawar, Dnyaneshwar Dadaji (Işık University Press, 2026-08-01)

  This paper presents a spectral collocation method based on shifted VietaLucas polynomials (SVLPs) for the numerical approximation of multi-term variable-order fractional differential equations (MT-VOFDEs) involving the ...

• An adjacent edge graceful labeling of pentagonal snake graph 

  Nivetha, G. N.; Raj, T. Tharma; Gowri, A. (Işık University Press, 2026-08-01)

  Let G be a graph with p vertices and q edges. The graph G is said to be an adjacent edge graceful graph if there exists bijection mapping f : E(G) → {1, 2, 3, ..., q} such that the induced vertex mapping f*: V (G) → N, ...

• A computational analysis of the face index of certain graph networks using multivariate regression 

  Sharathkumar, Hunjanalu Thimmarayappa; Narasimha, Pooja; Swamy, Narahari Narasimha; Nagesh, Hadonahally Mudalagiraiah (Işık University Press, 2026-08-01)

  Researchers have recently introduced a topological descriptor, called the face index, which quantifies the number of faces in a molecular network/compound to enhance efficiency by reducing computational time while improving ...

View more