Contemporary Mathematics

This study defines an extended Neutrosophic b-Metric Space (NbMS) and illustrates the characteristics that are essential to its structure. The Fixed Point (FP) theorem has therefore been proved in the context of these Extended Neutrosophic b-Metric Spaces (ENbMS). Our results show symmetrical patterns and features within these mathematical frameworks, both extending and generalizing the results f…

As the demand for renewable energy increases, it becomes more vital to efficiently integrate different resources such as wind and solar energy. This study illustrates a novel integrated mechanism for analyzing a green energy generation dynamical system utilizing the Fractal-Fractional (FF) sense of operators. We give a robust deep learning framework designed to successfully model the complex inte…

The emergence of autonomous bus services presents a transformative solution for addressing urban or rural transportation challenges, particularly in developing countries such as the Philippines. There needs to be an evaluation before full deployment for assessment of technology acceptance, people's perception, and people's pro-environmental behavior on actual use of autonomous buses. This study s…

Global warming is the most challenging environmental problem and is expected to remain so for the next few decades. In June 2025, scientists predicted that it would be extremely difficult to meet the 2030 global temperature reduction milestone. Therefore,it is necessary to double our efforts to reduce global warming through several approaches,including higher renewable energy usage, energy effici…

A nonlinear mathematical model is suggested to examine the role of varying abilities of plants in absorbing atmospheric Carbon Dioxide (CO2) and its impact on the ecosystem. Various plant species show distinct abilities to absorb and capture CO2, which can affect the overall reduction in atmospheric CO2 quantities. The study objectives to consider how differences in plant capacities for CO2 absor…

A mathematical approach is employed to examine the heat transmission capabilities of rectangular and triangular porous fins in both Local Thermal Equilibrium (LTE) and Local Thermal Non-Equilibrium (LTNE) scenarios. To provide a more accurate depiction of the thermal interaction between the solid and fluid phases, the LTNE model uses two coupled energy equations to represent their respective temp…

The interplay between microrotation, microinertia, and viscoelastic relaxation significantly influences the hydrodynamic performance of non-Newtonian cavity flows. This study investigates the combined effects of the Eringen number, micropolar coupling constant, and fluid relaxation factor on drag force, microrotation, and flow behavior in a two-dimensional lid-driven cavity. The governing nonline…

The Banach spaces is the most popular and well-known spaces in the subject of pure mathematics. Many mathematicians have worked on different concepts from different angles in the field of functional analysis due to wide range of utilizations in quantum mechanics, optimization, and numerical analysis. In this paper, we explore the new iterative approach, namely Hanif-Kifayat (HK)-iteration method …

In this paper, we propose an extended iteration of the generalized Fibonacci-Mann technique to establish an escape condition for functions of the form ，where a and c are complex constants, n ≥ 2, and is a complex variable. Using an s-convex combination framework, the proposed approach refines existing procedures and enables the generation of novel Mandelbrot and Julia sets. Furthermore, we provid…

This study addresses the complexities of Fixed Charge Multi-Objective Transportation Problems (FCMOTPs) where both fixed and variable transportation costs must be minimized while balancing multiple conflicting objectives under uncertainty. The proposed model enhances optimization planning by managing uncertainties and aligning solutions with Decision Maker (DM) priorities. And weight assignment t…

While gradient-based optimizers that incorporate randomization often demonstrate superior performance on complex optimizations, the theoretical foundations of this advantage remain underexplored. A central question arises: What role does randomization play in dimension-free, nonsmooth, nonconvex optimization? To address this gap, we examine both the theoretical and empirical impact of permutation…

Tick-borne zoonotic diseases pose an escalating global health threat, yet existing mathematical models often oversimplify the complex multi-host, multi-vector transmission dynamics, particularly neglecting non-viraemic (co-feeding) transmission and differential immunity mechanisms across species. We developed a novel compartmental model explicitly incorporating five transmission pathways: tick-to…

This paper investigates the numerical solution of fractional differential equations involving the Erdelyi-Kober fractional operator, which play a pivotal role in modeling memory-dependent and anomalous dynamic processes in applied mathematics, physics, and engineering, including anomalous diffusion, viscoelasticity, and heterogeneous heat conduction. We introduce a novel neural network-based fram…

In this paper, we consider the composition operators on harmonic Bloch-type spaces. Then first we compute their spectra on harmonic α-Bloch spaces and harmonic little α-Bloch space and then we characterize isometric composition operators on harmonic α-Bloch-type spaces. Indeed we obtain a relation between the properties of the inducing function φ and the isometricity of the composition operator C…

Convexity associated with inequalities finds numerous and impressive applications in the field of applied mathematics, especially when it comes to fractional analysis. In this paper, we investigate the new equalities. We explore several variations of the Fejér-type inequalities involving generalized convex involving Raina mapping for fractional integral operators based on these equalities. The ou…

Let G be a nontrivial connected graph and c : V(G) → {1, 2, ..., k} be a coloring of G, where adjacent vertices may be colored the same. For any vertex v of G, the adjacency code adc(v) of v with respect to c is defined as the ordered k-tuple , where is the number of vertices adjacent to v that are colored i for 1 ≤ i ≤ k. The coloring c is called adjacency recognizable if distinct vertices have …

A discrete type model for addressing the recent COVID-19 disease with vaccination class is considered in this research work. In this work, we integrate the harmonic mean type incidence rate into a new fractional-order discrete-time Susceptible-Vaccinated-Infected-Recovered (SVIR) epidemic model. For the considered model Disease Free Equilibrium(DFE) and Endemic Equilibrium (EE) are deduced and th…

Achieving deep carbon reduction in the power sector is central to China's green energy transition. This study develops a novel multidimensional and multi-level collaborative evaluation framework designed specifically to assess carbon reduction pathways in electricity systems. Methodologically, we begin by forecasting power demand and the evolution of the generation structure—including thermal, wi…

The OCDMA network using two Dimensional Variable-Weight Optical Orthogonal Codes (2D VWOOC) can support diverse Quality of Services (QoS) classes and multimedia services, and make the better use of bandwidth resources in fiber optical networks. To simplify practical implementation, the At Most One-Pulse Per Wavelength (AM-OPPW) restriction is often appended to a 2D VWOOC. In this paper, the upper…