http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7315 JAEM 2026, Vol 16, No 7 koleksiyonunu içerir. Tue, 07 Jul 2026 04:25:43 GMT 2026-07-07T04:25:43Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7323 Book Review: Oktay Veliyev, Non-Self-Adjoint Schrödinger Operator with a Periodic Potential: Spectral Theories for Scalar and Vectorial Cases and Their Generalizations Hasanoğlu, Elman [No abstract available] Wed, 01 Jul 2026 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7323 2026-07-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7322 Z-Continuous maps in Fermatean fuzzy topological spaces and its application Premalatha, P.; Swaminathan, Ayyarasu; Vadivel, Appachi In this paper, we undertake a detailed study of various types of functions in Fermatean fuzzy topological spaces, namely Fermatean fuzzy Z-continuous, Fermatean fuzzy Z-irresolute, strongly Fermatean fuzzy Z-continuous, and perfectly Fermatean fuzzy Z-continuous functions. We present rigorous definitions and characterizations of these functions, explore their interrelationships, and establish several fundamental properties supported by illustrative examples. Furthermore, we demonstrate the practical significance of the proposed concepts by developing a real-life decision-making application based on entropy measures defined over Fermatean fuzzy sets, thereby showcasing their potential in handling uncertainty and imprecision in complex problem-solving scenarios. Wed, 01 Jul 2026 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7322 2026-07-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7321 Modeling epidemic spread using time-dependent graph diffusion equations on complex networks Sarmitha, G.; Vidyanandini, S.; Sanjay, M. B.; Shrivastava, Anushree; Kuntal, Ravinder Singh Epidemic spread in real populations is shaped by changing contact patterns, uneven connectivity, and localized transmission, so static and uniformly mixed models are often not sufficient. Complex networks provide a stronger mathematical basis for representing these evolving interactions because they capture both structural heterogeneity and temporal variation. Existing research has examined temporal networks, multilayer epidemic systems, and graph-based transmission models, but many formulations still do not fully unify node-wise epidemic states, weighted graph diffusion, and time-dependent transmission in one solvable framework. A clear gap therefore remains in developing a mathematically consistent model that can represent epidemic propagation on evolving complex networks with both analytical and numerical clarity. This study addresses that gap by proposing a time-dependent graph diffusion model for epidemic spread. The paper focuses on developing the graph-mathematical formulation, deriving the governing equations, implementing an explicit numerical solution method, and testing the model on various network types, diffusion strengths, temporal transmission patterns, and intervention scenarios. Results demonstrate the significant impact of structure and time on epidemic spread, showing faster initial spread in scale-free networks, shifts in peak timing in evolving-contact graphs, and reduced outbreak severity under early intervention. The proposed framework offers a solid and practical basis for predicting epidemics on changing networks. Wed, 01 Jul 2026 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7321 2026-07-01T00:00:00Z http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7320 Stability analysis and data sensitivity of fractional integro-differential equations Prabakaran, Raghavendran The paper focuses on analyzing the Ulam stability and data dependence in fractional integro-differential equations with Caputo-type fractional derivatives. The main aim of the work is to see under which circumstances the solutions remain stably behaved with respect to small perturbations in the initial data and the parameters of the system. Using a nonlinear integral inequality of the Henry-Gronwall kind, four types of stabilities are studied and discussed. From there, several examples are shown that illustrate the theory. Also, there are some graphs to show how the system solutions behave and to depict the sensitive nature of the system concerning input data changes. The results provide valuable insights into the stability aspects of fractional dynamic systems and support existing research in fractional calculus and their applications. Wed, 01 Jul 2026 00:00:00 GMT http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/7320 2026-07-01T00:00:00Z