• Realization algorithm for defining fractional order in oscillating systems with liquid damper 

  Nazile, Hajiyeva; Irade, Aliyeva; Aliev, Fikret Akhmedali (Işık University Press, 2025-11-01)

  In the paper the problem of defining the fractional order in oscillating systems with liquid damper. Firstly, the equation of the object is reduced to the Volterra integral equation of the second kind with respect to the ...

• More on continuous and irresolute maps in Pythagorean fuzzy topological spaces 

  Vadivel, Appachi; Gavaskar, Guru; Sundar, C. John (Işık University Press, 2025-11-01)

  The new dimension of non-standard fuzzy sets called Pythagorean fuzzy sets which can handle the inaccurate data very strongly has been established in recent days. Even though intuitionistic fuzzy sets were generously used ...

• Wiener and Harary indices of Mycielskian graphs 

  Goyal, Shanu; Tanya (Işık University Press, 2025-11-01)

  Let G = (V(G), E(G)) be a graph, where V = {v1, v2, . . . vn}. Let V′ = {v′1, v′2, . . . , v′n} be the twin of the vertex set V(G). The Mycielskian graph M(G) of G is defined as the graph whose vertex set is V(G) ∪ V′(G) ...

• On some families of linear diophantine graphs 

  Salama, Omar Mohamed; Seoud, Mohammed Abdel Azim; Anwar, Mohamed; Elsonbaty, Ahmed (Işık University Press, 2025-11-01)

  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 Diophantine labeling or not, and if ...

• PMC-labeling of prism allied graph, pendulum graph and cog wheel graph 

  Ponraj, R.; Prabhu, S. (Işık University Press, 2025-11-01)

  In this paper, we investigate the PMC-labeling behavior of some graphs like pendulum graph, hexagonal circular ladder, cog wheel graph, triangular wheel graph, double crown-wheel graph, crown-triangular wheel graph, Hn,n, ...

• The k-binomial and Catalan transforms of the k-Leonardo numbers 

  Prasad, Kalika; Kumari, Munesh; Mahato, Hrishikesh (Işık University Press, 2025-11-01)

  In this paper, we investigate the binomial transform and the Catalan transform of the k-Leonardo numbers and examine the new integer sequences. We apply the k-binomial, rising k-binomial, and falling k-binomial transforms ...

• A labeling approach to vertex N-magic weighted total graphs with vertex-odd values 

  Nishanthini, Radhakrishnan (Işık University Press, 2025-11-01)

  The current text discusses the concept of odd vertex N-magic total graphs, a novel idea in the realm of vertex N-magic-type graphs. This idea is defined by N- magic with distinct degrees and identifies odd vertex labels ...

• New approach to evaluate the failure probability of a k-out-of-n system under harmful shocks 

  Jarray, Moujib; Mannai, Nizar; Gasmi, Soufiane (Işık University Press, 2025-11-01)

  This paper introduces a novel approach to calculating the failure probability of k-out-of-n systems under harmful shocks, which occur randomly and affect at least one component. Traditional methods for this calculation ...

• The first Zagreb index, the forgotten topological index, the inverse degree and some Hamiltonian properties of graphs 

  Li, Rao (Işık University Press, 2025-11-01)

  Let G = (V, E) be a graph. The first Zagreb index and the forgotten topological index of a graph G are defined respectively as Σu∈Vd² (u) and Σu∈Vd³(u), where d(u) is the degree of vertex u in G. If the minimum degree of ...

• Fractional Cattaneo equation with a harmonic source and associated thermal stresses in axisymmetric and central symmetric cases 

  Kulkarni, Vinayak S.; Sankeshwari, Sagar Ningonda (Işık University Press, 2025-11-01)

  Integer and fractional order Cattaneo equations with a source varying harmonically in time under zero initial conditions are studied in the axisymmetric case and the central symmetric case. The integral transform techniques ...

• Chaos and complexity in a four-dimensional system with hyperbolic tangent nonlinearity and no equilibrium 

  Kopp, Michael I. (Işık University Press, 2025-11-01)

  This paper introduces a new four-dimensional (4-D) dynamical system composed of only seven terms: four linear terms, one nonlinear term involving the hyperbolic tangent function, one absolute value function term, and a ...

• Adaptive boosted estimation for single-index quantile regression 

  Alshaybawee, Taha; Alhusseini, Fadel Hamid Hadi; Mzedawee, Asaad Naser Hussein (Işık University Press, 2025-10-01)

  We propose a novel boosted estimation method for single-index quantile regression (SIQR) that combines the robustness of quantile regression with the flexibility of gradient boosting. By modeling the conditional quantile ...

• Signed sum cordial labeling of graphs 

  Daisy, K. Jeya; Paulson, P. Princy; Jeyanthi, Pon (Işık University Press, 2025-10-01)

  The notion of signed product cordial labeling was introduced in 2011 and further studied by several researchers. Inspired by this notion, we define a new concept namely signed sum cordial labeling as follows: A vertex ...

• Normality and regularity of Pythagorean fuzzy cellular spaces 

  Gnanachristy, N. B.; Revathi, Govindasamy Krishnamoorthy; Obeng-Denteh, William (Işık University Press, 2025-10-01)

  Normality and regularity are key separation axioms that helps to classify and understand the structure of topological spaces. This research article investigates the properties of normality and regularity within the context ...

• On the fundamental theorems of (α, β)-Pythagorean fuzzy ideals of rings 

  Bhunia,Supriya; Ghorai, Ganesh (Işık University Press, 2025-10-01)

  An (α, β)-Pythagorean fuzzy set is a modern approach to handling ambiguity. This article represents the perception of an (α, β)-Pythagorean fuzzy coset of any (α, β)-Pythagorean fuzzy ideal of rings. We demonstrate several ...

• Equitable dominator coloring of graphs 

  George, Phebe Sarah; Madhumitha, S.; Sudev, Naduvath K. (Işık University Press, 2025-10-01)

  This paper introduces a variant of domination-related coloring of graphs, called the equitable dominator coloring of graphs, which is a combination of equitable coloring and dominator coloring of graphs. The minimum number ...

• The hybrid form of the hyperbolic Horadam matrix functions 

  Mersin, Efruz Özlem (Işık University Press, 2025-10-01)

  In the present paper, a special type of hybrid number is introduced whose components are the hyperbolic Horadam sine and cosine matrix functions. These hybrid numbers and their symmetrical forms are explored in detail, and ...

• Systems bifurcation of limit cycles for a family of discontinuous piecewise isochronous differential systems separated by irregular line 

  Barkat, Meriem; Benterki, Rebiha; Baymout, Louiza (Işık University Press, 2025-10-01)

  The study of Hilbert’s 16th problem for piecewise linear differential systems has received significant attention from many researchers. It was shown that the upper bound for the maximum number of limit cycles can vary ...

• Existence, uniqueness, and stability of solutions for nonlinear fractional integro-differential equations with nonlocal boundary conditions and fractional derivatives 

  Abou Omar, Mirvet; Awad, Yahia Abdul Rahman; Mghames, Ragheb Hatem; Amin, Karim Mohammad (Işık University Press, 2025-10-01)

  This study investigates a nonlinear fractional integro-differential equation defined by Riemann-Liouville fractional derivatives, focusing on the existence, uniqueness, and stability of its solutions. Using advanced ...

• Paired domination integrity of derived graphs of cycles 

  Antony, Annie Clare; Shathish, Sangeetha (Işık University Press, 2025-10-01)

  The study of the vulnerability of real-life networks helps network designers construct networks such that their stability is maintained even under the disruption of a few nodes or links connecting the nodes. In this paper, ...

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