• 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 ...

• Viscous dissipation, Hall current and ion slip effects on an unsteady MHD flow over an inclined plate 

  Aiswarya, Srinivasan; Bhuvaneshwari, K. (Işık University Press, 2026-02-01)

  In this study, we have examined the effects of Hall current and ion slip on an unsteady MHD flow of a viscous, electrically conducting incompressible fluid over a porous medium bounded by an infinite inclined plate in the ...

• Certain subclass of bi-univalent functions defined by q-derivative operator involving Poisson distribution 

  Nandini, P.; Latha, Satyanarayana (Işık University Press, 2026-01-01)

  In this paper, by using the q-derivative operator, we define a new subclass of bi-univalent functions involving Poisson distribution series associated with Horadam polynomials. We find estimates for the general Taylor-Maclaurin ...

• A numerical solution to nonlinear ordinary differential equations based on Bell polynomials 

  Erdem Biçer, Kübra; Yıldız Nohutcu, Gökçe (Işık University Press, 2026-01-01)

  This article examines the solutions of high-order nonlinear ordinary differential equations with cubic terms under initial conditions using Bell polynomials, their derivatives, and collocation points. The nonlinear ...

• On ψ- criticality of some random graphs 

  Kokiladevi, Selvakumar; Yegnanarayanan, Venkataraman; Rajermani, Thinakaran (Işık University Press, 2026-01-01)

  A vertex colouring g of a graph G is said to be pseudocomplete if for any two distinct colours i, j there exists at least one edge e = (u, v) ∈ E(G) such that g(u) = i and g(v) = j. The maximum number of colors used in a ...

• On controllability results for fuzzy Caputo-Katugampola fractional differential equations 

  Hariharan, Ramaraj; Udhayakumar, Ramalingam (Işık University Press, 2016-01-01)

  This article explores the controllability of fuzzy fractional differential equations using the Caputo-Katugampola fractional derivative. First, we prove the existence of a mild solution using fractional calculus, fuzzy set ...

• Packing colorings of the corona product of the path Pn and the cycle Cn with an edge K₂ 

  Sampathkumar, R.; Sivakaran, T.; Unnikrishnan, R. (Işık University Press, 2026-01-01)

  Given a graph G and a positive integer i, an i-packing in G is a subset X of V (G) such that the distance dG(u, v) between any two distinct vertices u, v ∈ X is greater than i. The packing chromatic number χρ(G) of a graph ...

• Moments of order statistics and k-record values arising from the Beta-Lomax distribution with application 

  Alakraa, Ashwaq Abdulsada Kadhim; Heydari, Ali Akbar; Khamnei, Hossein Jabbari; Makouei, Somayeh (Işık University Press, 2026-01-01)

  The concept of k-record values plays a significant role in extreme value theory, which is essential for modeling rare events. In this paper, we focus on k- record values from the Beta-Lomax distribution(BLD), a flexible ...

• Approximations to Caputo fractional derivative with arbitrary kernels and uniform meshes 

  Derdar, Nedjemeddine (Işık University Press, 2026-01-01)

  The main objective of this paper is to find numerical approximations of the Caputo fractional derivative for α > 0 with arbitrary kernels and uniform meshes. These numerical approximations are based on polynomial interpolation. ...

• Algebraic properties of kernel symmetric Intuitionistic fuzzy matrices 

  Chanthirababu, S.; Anandhkumar, Mani; Venkatesh, Ambalarajan (Işık University Press, 2026-01-01)

  The characterization of interval valued secondary k- kernel symmetric Intuitionistic fuzzy matrices have been examined in this study. It is discussed how interval valued s-k kernel symmetric, s- kernel symmetric, interval ...

• Generalized fractional heat equation in extended Colombeau algebras 

  Benmerrous, Abdelmjid; Chadli, Lalla Saadia; Elomari, M’hamed (Işık University Press, 2026-01-01)

  In this paper, we use the Colombeau generalized algebra to prove the existence and uniqueness of the solution of fractional heat equation with singular potentials (i.e., singular distributions). The concept of a generalized ...

• On various algebraic structures in multidimensional fuzzy sets 

  Josen, Jomal; John, Sunil Jacob; Thankachan, Baiju (Işık University Press, 2026-01-01)

  One recent generalization of Zadeh’s fuzzy sets is the concept of multidimensional fuzzy sets. This work extends this concept further by introducing a generalized form of multidimensional fuzzy algebra. By focusing on ...

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