J. F. Gómez‐Aguilar
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View article: Stability and Hopf bifurcation analysis of a delayed malware mutation model for wireless rechargeable sensor networks with energy constraints
Stability and Hopf bifurcation analysis of a delayed malware mutation model for wireless rechargeable sensor networks with energy constraints Open
View article: Artificial intelligence neural networking for data clustering of carbon dioxide model
Artificial intelligence neural networking for data clustering of carbon dioxide model Open
View article: FRACTIONAL MODELING AND DESIGN ON CONTROL SYSTEM OF 2-DOF LOWER-LIMB EXOSKELETON ROBOT MODEL
FRACTIONAL MODELING AND DESIGN ON CONTROL SYSTEM OF 2-DOF LOWER-LIMB EXOSKELETON ROBOT MODEL Open
In recent years, exoskeletons have become more popular due to technological advances in robotics and the acceptance of humans to interact with robotic systems. Exoskeletons have multiple applications, including medicine and the military. T…
View article: NUMERICAL SOLUTION OF A MULTI-TERM TIME-FRACTIONAL VISCOELASTIC NON-NEWTONIAN FLUID MODEL VIA A HYBRID SPECTRAL METHOD
NUMERICAL SOLUTION OF A MULTI-TERM TIME-FRACTIONAL VISCOELASTIC NON-NEWTONIAN FLUID MODEL VIA A HYBRID SPECTRAL METHOD Open
The application of a hybrid spectral collocation method (HSCM) to a class of new multi-term time-fractional viscoelastic non-Newtonian fluid models is studied in this work. The noteworthy addition of this work is that the new model in this…
View article: Analysis of a Laplace Spectral Method for Time-Fractional Advection-Diffusion Equations Incorporating the Atangana-Baleanu Derivative
Analysis of a Laplace Spectral Method for Time-Fractional Advection-Diffusion Equations Incorporating the Atangana-Baleanu Derivative Open
View article: On simulations of some physical observables concerning photovoltaic systems, based on their operating conditions
On simulations of some physical observables concerning photovoltaic systems, based on their operating conditions Open
View article: Some anisotropic and perfect fluid plane symmetric solutions of Einstein's field equations using killing symmetries
Some anisotropic and perfect fluid plane symmetric solutions of Einstein's field equations using killing symmetries Open
The Einstein’s field equations (EFEs), central to the theory of general relativity, often require spacetime symmetries such as those defined by Killing vector fields to simplify their solutions and derive physically meaningful results. Kil…
View article: A new optimized framework based on fractional-order gradients for enhancement of color digital images
A new optimized framework based on fractional-order gradients for enhancement of color digital images Open
This work proposes an optimized framework to enhance brightness while preserving textures and details in color digital images. The proposed method uses the conformable Gaussian and fractional Caputo–Fabrizio gradient to process the red (r)…
View article: Composite pattern and control in Gierer Meinhardt model
Composite pattern and control in Gierer Meinhardt model Open
This paper comprehensively considers the two-dimensional spatiotemporal dynamics of the Gierer-Meinhardt model, with the cross-diffusion coefficients as bifurcation parameters. Through multiscale analysis, the amplitude equation at the Tur…
View article: Study of Caputo fractional derivative and Riemann–Liouville integral with different orders and its application in multi‐term differential equations
Study of Caputo fractional derivative and Riemann–Liouville integral with different orders and its application in multi‐term differential equations Open
In this article, we initially provided the relationship between the RL fractional integral and the Caputo fractional derivative of different orders. Additionally, it is clear from the literature that studies into boundary value problems in…
View article: Stephan Blowing Impact on Chemical Reactive Flow of Trihybrid Nanofluid over a Riga Plate with Bioconvection: An Applications of Cattaneo-Christov Flux model
Stephan Blowing Impact on Chemical Reactive Flow of Trihybrid Nanofluid over a Riga Plate with Bioconvection: An Applications of Cattaneo-Christov Flux model Open
This study investigates the Stephan blowing impact on chemical reactive flow of THNF (trihybrid nanofluid) across a Riga plate with Marangoni convection and bio convection. The Riga plate consists of an electrode and magnet configuration o…
View article: Investigating the existence, uniqueness, and stability of solutions in boundary value problem of fractional differential equations
Investigating the existence, uniqueness, and stability of solutions in boundary value problem of fractional differential equations Open
This study uses fixed point theory and the Banach contraction principle to prove the existence, uniqueness, and stability of solutions to boundary value problems involving a Ψ-Caputo-type fractional differential equation. The conclusions a…
View article: Modeling of implicit multi term fractional delay differential equation: Application in pollutant dispersion problem
Modeling of implicit multi term fractional delay differential equation: Application in pollutant dispersion problem Open
This work explores a new abstract model using multi-term fractional differential operator and delay effect. The model is defined by the existence of a delay parameter and insertion of multi term fractional differential operators in the inp…
View article: Modeling and investigating the spread of COVID-19 dynamics with Atangana-Baleanu fractional derivative: a numerical prospective
Modeling and investigating the spread of COVID-19 dynamics with Atangana-Baleanu fractional derivative: a numerical prospective Open
Fractional-order models have been used in the study of COVID-19 to incorporate memory and hereditary properties into the systems Moira and Xu (2003) Respirology 8 S9â14. These models have been applied to analyze the dynamics and behavior o…
View article: Essential criteria for existence of solution of a modified-ABC fractional order smoking model
Essential criteria for existence of solution of a modified-ABC fractional order smoking model Open
Drug usage has always been a top concern for parents and government officials, harming younger people's lives in circumstances that cannot be undone. This paper considers a modified ABC-fractional-order Ice-smoking dynamical system for the…
View article: An optimization method for solving fractional oscillation equation
An optimization method for solving fractional oscillation equation Open
This paper seeks to present an optimization method to estimate the solutions of nonlinear oscillation equations of fractional order. The mentioned method is based on Bernstein polynomials (Bps). In the presented numerical approach, the ope…
View article: On a class of Lyapunov's inequality involving $ \lambda $-Hilfer Hadamard fractional derivative
On a class of Lyapunov's inequality involving $ \lambda $-Hilfer Hadamard fractional derivative Open
In this paper, we presented and proved a general Lyapunov's inequality for a class of fractional boundary problems (FBPs) involving a new fractional derivative, named $ \lambda $-Hilfer. We proved a criterion of existence which extended th…
View article: Chaos and stability of a fractional model of the cyber ecosystem
Chaos and stability of a fractional model of the cyber ecosystem Open
The widespread use of computer hardware and software in society has led to the emergence of a type of criminal conduct known as cybercrime, which has become a major worldwide concern in the 21st century spanning multiple domains. As a resu…
View article: Qualitative aspects and sensitivity analysis of MERS-Corona epidemic model with and without noise
Qualitative aspects and sensitivity analysis of MERS-Corona epidemic model with and without noise Open
Background. MERS-CoV (Middle East Respiratory Syndrome Coronavirus) is a severe respiratory illness that poses a significant threat to the Arabic community and has the potential for global spread. In this paper, we present deterministic an…
View article: Diverse optical soliton solutions of two space-time fractional nonlinear evolution equations by the extended kudryashov method
Diverse optical soliton solutions of two space-time fractional nonlinear evolution equations by the extended kudryashov method Open
This study investigates the inclusive optical soliton solutions to the (2+1)-dimensional nonlinear time-fractional Zoomeron equation and the space-time fractional nonlinear Chen-Lee-Liu equation using the extended Kudryashov technique. The…
View article: Existence, uniqueness and synchronization of a fractional tumor growth model in discrete time with numerical results
Existence, uniqueness and synchronization of a fractional tumor growth model in discrete time with numerical results Open
A mathematical model of discrete fractional equations with initial condition is constructed to study the tumor-immune interactions in this research. The model is a system of two nonlinear difference equations in the sense of Caputo fractio…
View article: Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituents
Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituents Open
The present study analyzes the propagation of surface waves on a strongly inhomogeneous loaded bi-elastic cylindrical tube with variable material constituents. More precisely, due to the number of related physical applications, the exerted…
View article: A nonlinear perturbed coupled system with an application to chaos attractor
A nonlinear perturbed coupled system with an application to chaos attractor Open
In this paper, a general system of quadratically perturbed system of modified fractional differential equations (FDEs) is considered for the solution existence, solution uniqueness, stability results, numerical scheme and computational app…
View article: Characteristics of dynamic waves in incompressible fluid regarding nonlinear Boiti-Leon-Manna-Pempinelli model
Characteristics of dynamic waves in incompressible fluid regarding nonlinear Boiti-Leon-Manna-Pempinelli model Open
Distinct models involving nonlinearity are mostly appreciated for illustrating intricate phenomena arise in the nature. The new (3+1)-dimensional generalized nonlinear Boiti-Leon-Manna-Pempinelli (BLMP) model describes the dynamical behavi…
View article: Revisiting (2+1)-dimensional Burgers’ dynamical equations: analytical approach and Reynolds number examination
Revisiting (2+1)-dimensional Burgers’ dynamical equations: analytical approach and Reynolds number examination Open
Classical Burgers’ equation is an indispensable dynamical evolution equation that is autonomously devised by Burgers and Harry Bateman in 1915 and 1948, respectively. This important model is featured through a nonlinear partial differentia…
View article: An epidemiological model for computer virus with Atangana–Baleanu fractional derivative
An epidemiological model for computer virus with Atangana–Baleanu fractional derivative Open
The Era of data is transubstantiating into a Big Data model in this technological world in the early 21st century. In 2005, Roger Mougalas coined a combination of data for this future world of the human race. The information helps to find …
View article: Counterfactual Explanations and Predictive Models to Enhance Clinical Decision-Making in Schizophrenia using Digital Phenotyping
Counterfactual Explanations and Predictive Models to Enhance Clinical Decision-Making in Schizophrenia using Digital Phenotyping Open
Clinical practice in psychiatry is burdened with the increased demand for healthcare services and the scarce resources available. New paradigms of health data powered with machine learning techniques could open the possibility to improve c…
View article: An accurate operational matrix method based on Lagrange polynomials for solving fractional-order pantograph delay and Riccati differential equations
An accurate operational matrix method based on Lagrange polynomials for solving fractional-order pantograph delay and Riccati differential equations Open
This paper introduces the fractional-order Lagrange polynomials approach to solve initial value problems for pantograph delay and Riccati differential equations involving fractional-order derivatives. The fractional derivative is determine…
View article: Characteristics of dynamic waves in incompressible fluid regarding nonlinear Boiti-Leon-Manna-Pempinelli model
Characteristics of dynamic waves in incompressible fluid regarding nonlinear Boiti-Leon-Manna-Pempinelli model Open
Distinct models involving nonlinearity are mostly appreciated for illustrating intricate phenomena arise in the nature. The new (3 + 1)-dimensional generalized nonlinear Boiti-Leon-Manna-Pempinelli (BLMP) model describes the dynamical beha…
View article: Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models
Fractionalizing, coupling and methods for the coupled system of two-dimensional heat diffusion models Open
The present manuscript gives an overview of how two-dimensional heat diffusion models underwent a fractional transformation, system coupling as well as solution treatment. The governing diffusion models, which are endowed with Caputo's fra…