Turkic World Mathematical Society Journal of Applied and Engineering Mathematics: Recent submissions
Now showing items 1-20 of 1259
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Computation of some degree-based topological indices of [n]circulenes according to the size of their central polygon
(Işık University Press, 2025-12-01)In this paper, several degree-based topological indices are computed for the family of [n]circulenes, a class of polycyclic hydrocarbons, using the M-polynomial method, which eliminates edge counting. Closed-form formulas ... -
An investigation of the fractional Dirac operator using Laplace transform
(Işık University Press, 2025-12-01)In this paper, the fractional Dirac operator with Caputo’s fractional derivative is considered. By using Laplace transform, the fractional Dirac operator reduces to an algebraic equation. Then by applying the inverse Laplace ... -
Weighted reproducing Kernel Property on Banach Spaces
(Işık University Press, 2025-12-01)Weighted Reproducing Kernel Banach Spaces (WRKBS) extend kernel theory by incorporating weights to enhance modeling flexibility. This paper defines WRKBS, explores their theoretical foundations, and demonstrates their ... -
Complex rays and applications
(Işık University Press, 2025-12-01)Complex rays are a fascinating aspect of modern diffraction theory, typically sought as complex solutions to the eikonal equation. Traditionally, these solutions are obtained by analytically continuing real rays into the ... -
Fuzzy automata F*-first category subsystems
(Işık University Press, 2025-12-01)In this paper, the ideas of fuzzy automata normed linear F*-structure spaces and fuzzy automata F*-first category spaces are presented and reasonable examples are given. Additionally a few significant properties related ... -
Similarity measure on cubic intuitionistic fuzzy sets and its relationship wıth entropy measure
(Işık University Press, 2025-12-01)The objective of the study is to introduce the axioms defining similarity measures on cubic intuitionistic fuzzy sets. The proposed similarity measure integrates the principles of similarity measures on interval-valued ... -
Convergence analysis of intuitionistic fuzzy matrices with nearly monotone increasing property
(Işık University Press, 2025-12-01)Intuitionistic fuzzy matrix convergence of powers has been studied in the literature. The essential role of the main diagonal elements in the convergence of the power sequence of an intuitionistic fuzzy matrix A is exported ... -
Ant colony optimization for solving TSP with sub-route elimination constraints on Türkiye map
(Işık University Press, 2025-12-01)The Traveling Salesman Problem is the famous optimization problem in the NP-hard class. Many problems with applications in computer science and engineering can be modeled using the Traveling Salesman Problem. In this study, ... -
Ordering tetracyclic connected graphs having minimum degree distance
(Işık University Press, 2025-12-01)Degree distance is an important molecular descriptor which has gained much attention in the recent past. It provides valuable insights into the connectivity and properties of molecular graphs, making it a powerful tool in ... -
Coefficient bounds and Fekete-Szegö functional problem for a new subclass of m-fold symmetric bi-univalent functions
(Işık University Press, 2025-12-01)This paper introduces a novel subclass of m-fold symmetric bi-univalent functions denoted as Sh.pΣm. Precise coefficient estimates for terms |am+1|, |a2m+1| and the Fekete-Szegö functional are derived for functions belonging ... -
C³ quartic quasi-interpolants over a 6-direction mesh
(Işık University Press, 2025-12-01)In this work, we are interested in constructing quasi-interpolants in the space of splines S³4 (∆₆), where ∆6 designates a triangulation of a rectangular domain generated by a uniform mesh with six directions. Firstly, we ... -
Realization algorithm for defining fractional order in oscillating systems with liquid damper
(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
(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
(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
(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
(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
(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
(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
(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
(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 ...
