Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel. - José Francisco Gómez-Aguilar; Huitzilin Yépez-Martínez; Celia Calderón-Ramón; Ines Cruz-Orduña; Ricardo Fabricio Escobar-Jiménez; Victor Hugo Olivares-Peregrino (Entropy, 2015)

Modeling and simulation of the fractional space-time diffusion equation. - José Francisco Gómez-Aguilar; M. Miranda-Hernández; Maria G. Lopez-Pacheco; Victor Manuel Alvarado-Martínez; Dumitru Baleanu (Commun. Nonlinear Sci. Numer. Simul., 2016)

Analytical Solutions of the Electrical RLC Circuit via Liouville-Caputo Operators with Local and Non-Local Kernels. - José Francisco Gómez-Aguilar; Victor Fabian Morales-Delgado; Marco Antonio Taneco-Hernández; Dumitru Baleanu; Ricardo Fabricio Escobar-Jiménez; Maysaa Mohamed Al Qurashi (Entropy, 2016)

A New Methodology for Tracking and Instantaneous Characterization of Voltage Variations. - Martin Valtierra-Rodriguez; David Granados-Lieberman; Jose E. Torres-Fernandez; Juan R. Rodriguez-Rodriguez; José Francisco Gómez-Aguilar (IEEE Trans. Instrum. Meas., 2016)

Design of a state observer to approximate signals by using the concept of fractional variable-order derivative. - Antonio Coronel-Escamilla; José Francisco Gómez-Aguilar; Flor Lizeth Torres Ortiz; Martin Valtierra-Rodriguez; Ricardo Fabricio Escobar-Jiménez (Digit. Signal Process., 2017)

Parameter identification of periodical signals: Application to measurement and analysis of ocean wave forces. - Flor Lizeth Torres Ortiz; José Francisco Gómez-Aguilar; Javier Jiménez; Edgar Mendoza; Francisco-Ronay López-Estrada; Ricardo Fabricio Escobar-Jiménez (Digit. Signal Process., 2017)

Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation. - Antonio Coronel-Escamilla; José Francisco Gómez-Aguilar; Dumitru Baleanu; Teodoro Córdova-Fraga; Ricardo Fabricio Escobar-Jiménez; Victor Hugo Olivares-Peregrino; Maysaa Mohamed Al Qurashi (Entropy, 2017)

Chaos in a Cancer Model via Fractional Derivatives with Exponential Decay and Mittag-Leffler Law. - José Francisco Gómez-Aguilar; Guadalupe López López; Victor Manuel Alvarado-Martínez; Dumitru Baleanu; Hasib Khan (Entropy, 2017)

Electrical circuits RC, LC, and RL described by Atangana-Baleanu fractional derivatives. - José Francisco Gómez-Aguilar; Abdon Atangana; Victor Fabian Morales-Delgado (Int. J. Circuit Theory Appl., 2017)

Procesamiento digital de imágenes implementado en LabVIEW para sistemas biológicos y nanomateriales. - Teodoro Córdova-Fraga; J. A. Álvarez Gutiérrez; C. R. Contreras Gaytán; José Francisco Gómez-Aguilar; Rafael Guzmán-Cabrera; J. J. Bernal Álvarado; Juan Carlos Martínez Espinosa; M. A. Vallejo Hernandez (Res. Comput. Sci., 2017)

Exploring the Cross-Correlation as a Means for Detecting Digital Watermarks and Its Reformulation Into the Fractional Calculus Framework. - Mario Gonzalez-Lee; Hector Vazquez-Leal; José Francisco Gómez-Aguilar; Luis J. Morales-Mendoza; Víctor Manuel Jimenez-Fernandez; Juan Rodrigo Laguna Camacho; Celia María Calderón Ramón (IEEE Access, 2018)

Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors. - Jesús Emmanuel Solís Pérez; José Francisco Gómez-Aguilar; Dumitru Baleanu; Fairouz Tchier (Entropy, 2018)

Fractional operator without singular kernel: Applications to linear electrical circuits. - Victor Fabian Morales-Delgado; José Francisco Gómez-Aguilar; Marco Antonio Taneco-Hernández; Ricardo Fabricio Escobar-Jiménez (Int. J. Circuit Theory Appl., 2018)

Global optimization algorithms applied to solve a multi-variable inverse artificial neural network to improve the performance of an absorption heat transformer with energy recycling. - Jesús Emmanuel Solís Pérez; José Francisco Gómez-Aguilar; J. Alfredo Hernández-Pérez; Ricardo Fabricio Escobar-Jiménez; E. Viera-Martin; Roberto Agustín Conde-Gutiérrez; U. Cruz-Jacobo (Appl. Soft Comput., 2019)

Blood vessel detection based on fractional Hessian matrix with non-singular Mittag-Leffler Gaussian kernel. - Jesús Emmanuel Solís Pérez; José Francisco Gómez-Aguilar; Ricardo Fabricio Escobar-Jiménez; Juan Reyes-Reyes (Biomed. Signal Process. Control., 2019)

Heat Transfer Coefficients Analysis in a Helical Double-Pipe Evaporator: Nusselt Number Correlations through Artificial Neural Networks. - Arianna Parrales-Bahena; J. Alfredo Hernández-Pérez; Oliver Flores; Horacio Hernandez; José Francisco Gómez-Aguilar; Ricardo Fabricio Escobar-Jiménez; Armando Huicochea (Entropy, 2019)

Determination of supercapacitor parameters based on fractional differential equations. - Jorge Ivan Hidalgo Reyes; José Francisco Gómez-Aguilar; Ricardo Fabricio Escobar-Jiménez; Victor Manuel Alvarado-Martínez; Maria Guadalupe López López (Int. J. Circuit Theory Appl., 2019)

A new modified definition of Caputo-Fabrizio fractional-order derivative and their applications to the Multi Step Homotopy Analysis Method (MHAM). - Huitzilin Yépez-Martínez; José Francisco Gómez-Aguilar (J. Comput. Appl. Math., 2019)

Classical and fractional-order modeling of equivalent electrical circuits for supercapacitors and batteries, energy management strategies for hybrid systems and methods for the state of charge estimation: A state of the art review. - Jorge Ivan Hidalgo Reyes; José Francisco Gómez-Aguilar; Ricardo Fabricio Escobar-Jiménez; Victor Manuel Alvarado-Martínez; Maria Guadalupe López López (Microelectron. J., 2019)

Marching Cubes Algorithm for Transforming Images. - Angélica Hernández Rayas; Delia Irazú Hernández Farías; Eduardo Pérez-Careta; Rafael Guzmán-Cabrera; José Francisco Gómez-Aguilar; José Zacarías Huamaní Luna; Teodoro Córdova-Fraga (POLIBITS, 2019)

FMNEICS: fractional Meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order Lane-Emden system. - Zulqurnain Sabir; Muhammad Asif Zahoor Raja; Muhammad Shoaib 005; José Francisco Gómez-Aguilar (Comput. Appl. Math., 2020)

A New Fractional-Order Mask for Image Edge Detection Based on Caputo-Fabrizio Fractional-Order Derivative Without Singular Kernel. - Jorge Enrique Lavín Delgado; Jesús Emmanuel Solís Pérez; José Francisco Gómez-Aguilar; Ricardo Fabricio Escobar-Jiménez (Circuits Syst. Signal Process., 2020)

Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method. - Shu-Bo Chen; Samaneh Soradi-Zeid; Hadi Jahanshahi; Raúl Alcaraz 001; José Francisco Gómez-Aguilar; Stelios D. Bekiros; Yu-Ming Chu 001 (Entropy, 2020)

Modelling of Chaotic Processes with Caputo Fractional Order Derivative. - Kolade M. Owolabi; José Francisco Gómez-Aguilar; Guillermo Fernández-Anaya; Jorge Enrique Lavín Delgado; E. Hernández-Castillo (Entropy, 2020)

Fractional speeded up robust features detector with the Caputo-Fabrizio derivative. - Jorge Enrique Lavín Delgado; Jesús Emmanuel Solís Pérez; José Francisco Gómez-Aguilar; Ricardo Fabricio Escobar-Jiménez (Multim. Tools Appl., 2020)

Portable Device as Vein and Artery Viewer in vivo and in situ. - Angélica Hernández Rayas; Eduardo Pérez-Careta; Rafael Guzmán-Cabrera; José Francisco Gómez-Aguilar; Teodoro Córdova-Fraga (Res. Comput. Sci., 2020)

Modeling Alcohol Concentration in Blood via a Fractional Context. - Omar Rosario Cayetano; Alberto Fleitas Imbert; José Francisco Gómez-Aguilar; Antonio Fernando Sarmiento Galán (Symmetry, 2020)

Novel Fractional Operators with Three Orders and Power-Law, Exponential Decay and Mittag-Leffler Memories Involving the Truncated M-Derivative. - Jesús Emmanuel Solís Pérez; José Francisco Gómez-Aguilar (Symmetry, 2020)

Numerical study for the fractional RL, RC, and RLC electrical circuits using Legendre pseudo-spectral method. - Mohamed M. Khader; José Francisco Gómez-Aguilar; Mohamed Adel (Int. J. Circuit Theory Appl., 2021)

Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells. - Muhammad Umar 001; Zulqurnain Sabir; Muhammad Asif Zahoor Raja; José Francisco Gómez-Aguilar; Fazli Amin; Muhammad Shoaib 005 (Math. Comput. Simul., 2021)

Modification of the Marching Cubes Algorithm to Obtain a 3D Representation of a Planar Image. - Delia Irazú Hernández Farías; Rafael Guzmán-Cabrera; Teodoro Córdova-Fraga; José Zacarías Huamaní Luna; José Francisco Gómez-Aguilar (Program. Comput. Softw., 2021)

Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative. - Prashant Pandey 003; José Francisco Gómez-Aguilar; Mohammed K. A. Kaabar; Zailan Siri; Abd Allah A. Mousa (Comput. Biol. Medicine, 2022)

Generalized synchronization of commensurate fractional-order chaotic systems: Applications in secure information transmission. - Oscar Martinez-Fuentes; Juan J. Montesinos-García; José Francisco Gómez-Aguilar (Digit. Signal Process., 2022)

A new iterative method with ρ-Laplace transform for solving fractional differential equations with Caputo generalized fractional derivative. - Nikita Bhangale; Krunal B. Kachhia; José Francisco Gómez-Aguilar (Eng. Comput., 2022)

Two efficient numerical schemes for simulating dynamical systems and capturing chaotic behaviors with Mittag-Leffler memory. - Behzad Ghanbari; José Francisco Gómez-Aguilar (Eng. Comput., 2022)

Variable-order fractal-fractional time delay equations with power, exponential and Mittag-Leffler laws and their numerical solutions. - Jesús Emmanuel Solís Pérez; José Francisco Gómez-Aguilar (Eng. Comput., 2022)

Shifted Chebyshev collocation of the fourth kind with convergence analysis for the space-time fractional advection-diffusion equation. - Hamid Safdari; Yones Esmaeelzade Aghdam; José Francisco Gómez-Aguilar (Eng. Comput., 2022)

Numerical solution of fractal-fractional Mittag-Leffler differential equations with variable-order using artificial neural networks. - C. J. Zúñiga-Aguilar; José Francisco Gómez-Aguilar; Hector M. Romero Ugalde; Ricardo Fabricio Escobar-Jiménez; Guillermo Fernández-Anaya; Fawaz E. Alsaadi (Eng. Comput., 2022)

Fractal-fractional neuro-adaptive method for system identification. - C. J. Zúñiga-Aguilar; José Francisco Gómez-Aguilar; Hector Manuel Romero Ugalde; Hadi Jahanshahi; Fawaz E. Alsaadi (Eng. Comput., 2022)

Investigating the dynamics of Hilfer fractional operator associated with certain electric circuit models. - Rahmatullah Ibrahim Nuruddeen; José Francisco Gómez-Aguilar; Abdulaziz Garba Ahmad; Khalid K. Ali (Int. J. Circuit Theory Appl., 2022)

Stability analysis of Atangana-Baleanu fractional stochastic differential systems with impulses. - Rajesh Dhayal; José Francisco Gómez-Aguilar; Jacinto Torres-Jimenez (Int. J. Syst. Sci., 2022)

Applications of Fractional Operators in Robotics: A Review. - S. Chávez-Vázquez; José Francisco Gómez-Aguilar; Jorge Enrique Lavín Delgado; Ricardo Fabricio Escobar-Jiménez; Victor Hugo Olivares-Peregrino (J. Intell. Robotic Syst., 2022)

Artificial neural networks with conformable transfer function for improving the performance in thermal and environmental processes. - Jesús Emmanuel Solís Pérez; J. Alfredo Hernández-Pérez; Adrian Parrales; José Francisco Gómez-Aguilar; Armando Huicochea (Neural Networks, 2022)

Neuro-Evolutionary Computing Paradigm for the SIR Model Based on Infection Spread and Treatment. - José Francisco Gómez-Aguilar; Zulqurnain Sabir; Manal Alqhtani; Muhammad Umar 001; Khaled M. Saad (Neural Process. Lett., 2023)

An efficient numerical method to solve ordinary differential equations using Fibonacci neural networks. - Kushal Dhar Dwivedi; José Francisco Gómez-Aguilar (Comput. Appl. Math., 2023)

Assessment of the performance of the hyperbolic-NILT method to solve fractional differential equations. - Alfredo González-Calderón; Luis X. Vivas-Cruz; Marco Antonio Taneco-Hernández; José Francisco Gómez-Aguilar (Math. Comput. Simul., 2023)

Numerical performances based artificial neural networks to deal with the computer viruses spread on the complex networks. - Aisha Abdullah Alderremy; José Francisco Gómez-Aguilar; Zulqurnain Sabir; Shaban Aly; Jorge Enrique Lavín Delgado; José R. Razo-Hernández (Int. J. Comput. Math., 2024)

An efficient technique for object recognition using fractional Harris-Stephens corner detection algorithm. - Jorge Enrique Lavín Delgado; José Francisco Gómez-Aguilar; D. E. Urueta-Hinojosa; Zizilia Zamudio Beltrán; J. A. Alanís-Navarro (Multim. Tools Appl., 2024)

An Improved Object Detection Algorithm Based on the Hessian Matrix and Conformable Derivative. - Jorge Enrique Lavín Delgado; Jesús Emmanuel Solís Pérez; José Francisco Gómez-Aguilar; José R. Razo-Hernández; Sina Etemad; Shahram Rezapour (Circuits Syst. Signal Process., 2024)

Expert system for the parabolic trough collector control through classical and conformable transfer functions in ANNi-PSO. - Wassila Ajbar; Marisol Cervantes-Bobadilla; J. Alfredo Hernández-Pérez; Jesús Emmanuel Solís Pérez; José Francisco Gómez-Aguilar; Jarniel García-Morales; Arianna Parrales-Bahena (Expert Syst. Appl., 2025)