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Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods
; ; ; ; ; De la Sen Parte, Manuel 
(MDPI, 2022-11-21)
(MDPI, 2022-11-21)
This article deals with the study of ultrasound propagation, which propagates the mechanical vibration of the molecules or of the particles of a material. It measures the speed of sound in air. For this reason, the third-order ...
An Intelligent Platform for Software Component Mining and Retrieval
; ; ; ; ; De la Sen Parte, Manuel (MDPI, 2023-01-03)
(MDPI, 2023-01-03)
The development of robotic applications necessitates the availability of useful, adaptable, and accessible programming frameworks. Robotic, IoT, and sensor-based systems open up new possibilities for the development of ...
Crossover Dynamics of Rotavirus Disease under Fractional Piecewise Derivative with Vaccination Effects: Simulations with Real Data from Thailand, West Africa, and the US
; ; ; De la Sen Parte, Manuel ; (MDPI, 2022-12-14)
; (MDPI, 2022-12-14)
Many diseases are caused by viruses of different symmetrical shapes. Rotavirus particles are approximately 75 nm in diameter. They have icosahedral symmetry and particles that possess two concentric protein shells, or ...
Controllability of Impulsive Neutral Fractional Stochastic Systems
; ; ; De la Sen Parte, Manuel (MDPI, 2022-12-09)
(MDPI, 2022-12-09)
The study of dynamic systems appears in various aspects of dynamical structures such as decomposition, decoupling, observability, and controllability. In the present research, we study the controllability of fractional ...
Construction of Novel Bright-Dark Solitons and Breather Waves of Unstable Nonlinear Schrödinger Equations with Applications
; ; ; ; ; ; ; De la Sen Parte, Manuel (MDPI, 2022-12-30)
(MDPI, 2022-12-30)
The unstable nonlinear Schrödinger equations (UNLSEs) are universal equations of the class of nonlinear integrable systems, which reveal the temporal changing of disruption in slightly stable and unstable media. In current ...
Analysis of the Fractional Differential Equations Using Two Different Methods
; ; ; ; De la Sen Parte, Manuel ; (MDPI, 2022-12-26)
; (MDPI, 2022-12-26)
Numerical methods play an important role in modern mathematical research, especially studying the symmetry analysis and obtaining the numerical solutions of fractional differential equation. In the current work, we use two ...
A Nonlinear Structure of a Chemical Reaction Model and Numerical Modeling with the New Aspect of Existence and Uniqueness
; ; ; ; ; ; ; De la Sen Parte, Manuel (MDPI, 2022-12-22)
(MDPI, 2022-12-22)
In this article, a nonlinear autocatalytic chemical reaction glycolysis model with the appearance of advection and diffusion is proposed. The occurrence and unicity of the solutions in Banach spaces are investigated. The ...
A Computational Scheme for the Numerical Results of Time-Fractional Degasperis–Procesi and Camassa–Holm Models
; ; ; De la Sen Parte, Manuel (MDPI, 2022-11-30)
(MDPI, 2022-11-30)
This article presents an idea of a new approach for the solitary wave solution of the modified Degasperis–Procesi (mDP) and modified Camassa–Holm (mCH) models with a time-fractional derivative. We combine Laplace transform ...
Approximate and Exact Solutions in the Sense of Conformable Derivatives of Quantum Mechanics Models Using a Novel Algorithm
; ; De la Sen Parte, Manuel ; (MDPI, 2023-03-17)
; (MDPI, 2023-03-17)
The entirety of the information regarding a subatomic particle is encoded in a wave function. Solving quantum mechanical models (QMMs) means finding the quantum mechanical wave function. Therefore, great attention has been ...
2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
; ; ; ; De la Sen Parte, Manuel ; (MDPI, 2023-03-17)
; (MDPI, 2023-03-17)
The aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary ...