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DISEÑANDO OPORTUNIDADES: EL ROL DEL ESPACIO EN LA ACTIVIDAD PRODUCTIVA DEL ADULTO MAYOR
Get PDFLas personas mayores se enfrentan a una disponibilidad limitada de espacios adecuados para desarrollar actividades productivas, lo que restringe su autonomía, afecta su bienestar integral y desperdicia su experiencia en oficios tradicionales. Ante esta realidad, la investigación buscó explorar cómo los centros artesanales innovadores pueden promover su inclusión productiva. Se adoptó un enfoque cualitativo, no experimental, descriptivo y causal-correlacional, centrado en comprender las experiencias y expectativas de las personas mayores con respecto a su integración en espacios productivos. El trabajo se realizó con personas mayores, representantes institucionales, arquitectos y médicos (geriatras y médicos de familia). Los centros artesanales representan una alternativa viable y necesaria para promover el envejecimiento activo, siempre que cuenten con infraestructura adaptada a las capacidades de los participantes, programas de capacitación continua en técnicas artesanales y estrategias de comercialización integradas con el entorno local. De esta manera, las personas mayores pueden convertirse en actores productivos que contribuyan al desarrollo sostenible, promoviendo su inclusión y dignidad
A Novel Approach to Nonlinear Fractional Volterra-Fredholm Integro-Differential Equations via Caputo-Katugampola Operators
Get PDFThis paper aims to examine the solvability, uniqueness, and stability of a class of nonlinear implicit fractional Volterra-Fredholm integrodifferential equations involving the Caputo-Katugampola fractional derivative. The main objective is to establish rigorous conditions under which such equations admit unique solutions and to analyze their stability behavior under perturbations. Specifically, we apply Banach’s fixed-point theorem and a suitable form of the Gronwall inequality to derive sufficient criteria for existence and uniqueness. Furthermore, we investigate the stability of solutions in the sense of Ulam-Hyers and Ulam-Hyers-Rassias, providing a comprehensive understanding of the solution behavior under small deviations. To validate the theoretical results and highlight the applicability of the developed framework, a concrete illustrative example is included. This study contributes to the ongoing development of fractional calculus by deepening the theoretical understanding of fractional integrodifferential equations and expanding their potential for modeling complex dynamical systems in various applied sciences.OPEN ACCESS Received: 02/05/2025 Accepted: 19/06/2025 Published: 15/08/202
Influence of Recycled Polyisobutylene and Ceramic Powder on the Mechanical Performance of Asphalt Binder at High Temperature
No full textThe application of industrial wastes, particularly polyisobutylene and ceramic powder, to asphalt has not been investigated. Hence, this study was conducted to determine the influence of these waste materials on the physical and rheological properties of bitumen using both conventional and Superpave tests. In this investigation, a polyisobutylene-ceramic powder was used as a modifier for bitumen with a penetration grade of 60/70 at concentrations of 0.0%, 0.7%, 1.4%, and 2.1% by weight. The results indicated that increasing the modifier content led to a significant drop in penetration and a decrease in asphalt ductility. Additionally, the softening point increased as the modifier content also increased. Furthermore, as the modifier concentration increases, the asphalt binder's stiffness increases at high temperatures, while the complex modulus master curve shows a low-frequency response. Similarly, a performance-based asphalt grading system demonstrated that modified bitumen at 0.7% and 1.4% enhanced the PG grades to 64°C and 70°C, respectively. As a result, this represents the increased resistance of modifiers to permanent pavement deformation
Construction and Orthogonality of Fractional Laguerre Functions via the Caputo Derivative
Get PDFThis paper presents a rigorous framework for generalizing Laguerre polynomials to the fractional domain using the Caputo derivative. We solve the resulting fractional Laguerre differential equation via the power series method, deriving an explicit formfor the fractional Laguerre functions. A key contribution is the identification of a novel weight function, wα(x) = x−(2α−1)e−x, which is essential to prove the orthogonality of these functions over the interval [0,∞). Comprehensive numerical validation is provided, confirming the theoretical orthogonality across a wide range of fractional orders α and demonstrating a clean reduction to the classical polynomials when α = 2. An analysis of computational feasibility confirms the practical applicability of these functions for solving fractional differential equations and other applied problems
School Leadership Challenges in Using Media Sites in selected High schools in the Khomas Region
No full textThe ability of media sites to quicken uptake into everyday life is affecting the way people interact as they learn, particularly in schools. Social networking sites provide numerous possibilities for richer online instruction, instant message communication, and education-community interaction but also pose difficult problems for school leaders. The paper was guided by the following research question: What challenges do school leaders face when using media websites in selected high schools in the Khomas Region? It also analyzed how school leaders weigh advantages of media websites against difficulties it presents. Lastly, the paper states that school leaderships need to be able to use media websites effectively in senior schools. Five secondary schools were included in this study. The sample included five principals and ten HODs. Data was collected using semi-structured interviews with the five principals, and ten department heads. Data was analyzed using descriptive content analysis. The main findings indicated the difficulties associated with the use of media websites by the school leaders. School leadership misuse media websites by writing negative comments regarding the issues raised in these websites, and others use abusive language towards others when communicating on the media websites and forward non-academic emails to others. Most of the beneficiaries of information uploaded on media platforms by the school leadership lack technological devices upon which they can access the information and messages uploaded. The study also put forward a series of solutions that specifically that it is imperative the fact that all schools ought to be endowed with the required technological infrastructure, including a WI-FI network connection, improved internet connectivity and sufficient technological devices like laptops. Schools need to establish individual social networking accounts where students, teachers, caregivers, and school leadership can converse, exchange resources, and debate education-related matters. The social networking policies that provide easy guidelines for appropriate use, content sharing, and personal data protection need to be formulated and mandatory to implement. These policies also provide school leadership with how they can utilize more effectively media sites to improve their leadership approaches
On Observer-Based Control of One-Sided Lipschitz ω-Tempered Fractional-Order Systems under Input Saturation
Get PDFThis paper addresses the critical challenge of observer-based control for one-sided Lipschitz (OSL) nonlinear systems governed by tempered fractional-order dynamics under input saturation constraints. We introduce a novel stability framework combining ω-tempered Caputo derivatives with Mittag-Leffler stability theory, enabling significantly faster exponential error decay compared to classical fractional operators. The proposed methodology features three key innovations: (1) a tempered Mittag-Leffler stability theorem incorporating sector-bounded saturation nonlinearities, (2) linear matrix inequality (LMI) conditions accommodating arbitrary OSL constants (ρ∈ R), and (3) a Cone Complementary Linearization (CCL) algorithm resolving gain synthesis challenges in tempered fractional systems. Numerical validation demonstrates 62% faster convergence than classical fractional approaches while maintaining saturation constraints. The CCL algorithm provides guaranteed convergence with computational efficiency, overcoming initialization sensitivity through regularization techniques.OPEN ACCESS Received: 05/06/2025 Accepted: 15/08/2025 Published: 27/10/202
Fundamental Mechanics and Precision Control of Optical Axis Stability and Parallelism in Multi-Sensor Electro-Optical Pods
Get PDFModern electro-optical pods incorporatemulti-spectral sensors for reconnaissance,
target acquisition, and laser designation, where sub-milliradian
optical axis stability and inter-sensor parallelism are critical for mission
success. This paper establishes a unified theoretical framework combining
rigid-body kinematics and deformable body mechanics to develop a
physics-based stability metric through screw theory formulation, expressing
the optical axis dynamics as ˙O = [ω]×O+v, with thermo-mechanical
constraints [ω]×O < ω, v < v for engineering implementation. A
novel computational geometry method evaluates multi-sensor alignment
errors by solving Ei = si − (si · ˆO)
ˆO
+ JTT + Jgg, where JT and Jg
represent thermal and gravitational Jacobians. The rigid-flexible coupling
model with multi-point constraints (MPC) reveals thermal dominance
(0.49 mrad IR sensor pitch displacement at 60◦C, 272× gravitational
effect), material sensitivity (CTE mismatch contributing 68% of TV sensor’s
azimuthal error), and cross-axis coupling (19% LD error amplification
under thermal gradients). However, due to the limitations of current
experimental conditions, the experimental validation ismainly carried out
in controlled environments. The current experimental validation shows
<5% deviation between predicted andmeasured parallelismerrors across
−20◦C to 60◦C. In the future, we will supplement the evaluation of the
robustness of the control method through existing simulation verifications
(such as adding vibration and temperature disturbance models) in the
“experimental discussion” or “prospect” section, and clarify the research
plan for actual environment testing. The framework provides design
guidelines for optimal sensor placement minimizing JT
F, temperaturedependent
calibration protocols, and 0.1 mrad allocable margin for manufacturing
tolerances. This methodology advances electro-optical system
engineering fromempirical tuning tomodel-driven optimization, demonstrating
0.12 mrad (3σ) stability in field tests under ISO 9022 environmental
stress profiles, with key innovations including the first integration
of Lie algebra kinematics with FEM-based deformation analysis for
optical systems and physics-informed error budgeting separating thermal,
mechanical, and alignment components
On Nonlinear Monge-Ampère Equations and Their Symmetry Classifications
Get PDFThe Monge-Ampère equation (MAE) plays a pivotal role across a broad spectrum of theoretical and applied sciences, with its solutions being essential for advancing various fields. This study explores all forms of the fully nonlinear MAE using Lie group transformations to reduce the equation into solvable forms. Analytical solutions are derived using ansatzbased methods, yielding novel and generalized results that enhance the existing body of knowledge. In particular, solutions for cases with diverse source functions and boundary conditions are obtained, addressing gaps in the literature. Stability of the solutions is studied through both analytical and numerical approaches. Comparisons with existing solutions demonstrate the efficiency and generality of the proposed methods. The results presented in this work are poised to impact numerous applications, providing a robust framework for further research on MAEs.OPEN ACCESS Received: 24/05/2025 Accepted: 07/08/2025 Published: 27/10/202