Ortega-Deaquino, Luis X. Vivas-Cruz, M.A. Taneco-Hernández. (2025) Crossflow modeling in layered reservoirs using a modified fractional operator with non-singular kernel. Nonlinear Science 5 100054.
Bricio Cuahutenango-Barro, Alfredo González- Calderón, Marco Antonio Taneco-Hernández, Luis X. Vivas-Cruz, Ana Teresa Mendoza-Rosas (2025) Advancing from 2m-Sets of Triangular Functions to 3m-Sets of Parabolic Functions: Direct Solutions for Integral Equations. Enviado a Chaos, Solitons & Fractals.
Morales-Delgado, V.F., Gómez-Aguilar, J.F., Taneco-Hernández, M.A., Pérez-Careta, E., Torres-Jiménez, J. and Samei, M.E. (2025), Linear Electrical Circuits Described by a Novel Constant Proportional Caputo Hybrid Operator. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 38: e70023.
Luis X Vivas-Cruz, Alfredo González-Calderón, M A Taneco-Hernández, J F Gómez-Aguilar (2024) Hybrid finite element and laplace transform method for efficient numerical solutions of fractional PDEs on graphics processing units. Physica Scripta, 99 105290.
V. F. Morales-Delgado, J. F. Gómez- Aguilar, L. X. Vivas-Cruz, M. A. Taneco-Hernández, M. E. Sameid. (2024) A generalized mathematical model of fractional order transport dynamics of drug delivery via a non-classical Stefan problem. Enviado a International Journal of Modelling and Simulation.
Morales-Mariano, J., Vivas-Cruz, L.X., Taneco-Hernández, M.A. (2024) Initial-boundary value and interface problems on the real half line for the fractional advection-diffusion-type equation. Mathematical Methods in the Applied Sciences, 47(7), p.p. 6234-6271.
V.F Morales-Delgado, M. A. Taneco-Hernández, Cruz Vargas-De-León, J. F. Gómez-Aguilar. (2023). Exact solutions to fractional pharmacokinetic models using multivariate Mittag-Leffler functions. Chaos, Solitons and Fractals, 168, 113164.
González-Calderón, A., Vivas-Cruz, L.X., Taneco-Hernández, M.A., Gómez-Aguilar, J.F. (2023). Assessment of the performance of the hyperbolic-NILT method to solve fractional differential equations. Mathematics and Computer in Simulation, 206, p.p. 375-390.
Taneco-Hernández, MA, Gómez-Aguilar, JF, Cuahutenango-Barro, B. Wave process in viscoelastic media using fractional derivatives with nonsingular kernels. Math Meth Appl Sci. 2022; 1- 24.
I. Salinas-Peña, M.A. Taneco-Hernández, A. González-Calderon, Yu-Pei Lv, J.F. Gómez-Aguilar, Hadi Jahanshahi, Ayman A. Aly, Mosleh M. Alharthi. (2021). A initial–boundary value problem of a biofluid influenced by a magnetic field using a fractional differential operator with non-singular kernel, Results in Physics, Volume 28, 104633.
Cuahutenango-Barro, M.A. Taneco-Hernández, Yu-Pei Lv, J.F. Gómez-Aguilar, M.S. Osman, Hadi Jahanshahi, Ayman A. Aly. (2021). Analytical solutions of fractional wave equation with memory effect using the fractional derivative with exponential kernel, Results in Physics, Volume 25,104148.
Luis X. Vivas-Cruz, Jorge Adrián Perera-Burgos, Marco Antonio Taneco-Hernández, Alfredo González-Calderón (2020). Solutions and type curves of a fluid flow model for naturally fractured reservoirs with influx recharge. Journal of Porous Media, 23(10):1015–1041. DOI: 10.1615/JPorMedia.2020033939
Morales-Delgado, V.F., Gómez-Aguilar, J.F., and Taneco-Hernández, M.A. (2020). Mathematical modeling approach to the fractional Bergman's model. Discrete & Continuous Dynamical Systems - S, 13(3), 805-821. 3934/dcdss.2020046.
Vivas-Cruz, L.X., González-Calderón, A., Taneco-Hernández, M.A., and Luis, D.P. (2020). Theoretical analysis of a model of fluid flow in a reservoir with the Caputo-Fabrizio operator. Communications in Nonlinear Science and Numerical Simulation, 84, 105186, 25 pp.
Taneco-Hernández, M.A., Morales-Delgado, V.F., and Gómez-Aguilar, J.F. (2019). Fundamental solutions of the fractional Fresnel equation in the real half-line. Physica A. Statistical Mechanics and its Applications, 521, 807–827.
Taneco-Hernández, M.A., and Vargas-De León, C. (2020). Stability and Lyapunov functions for systems with Atangana–Baleanu Caputo derivative: An HIV/AIDS epidemic model. Chaos Solitons & Fractals, 132, 109586, 9 pp.
Martínez-Lázaro, C., Taneco-Hernández, M.A., Reyes-Carreto, R., and Vargas-De León, C. (2019). Existence of a conserved quantity and stability of in vitro virus infection dynamics models with absorption effect. Computational and Mathematical Methods in Medicine, Art. ID 2954041, 10 pp. 10.1155/2019/2954041.
Taneco-Hernández, M.A., Morales-Delgado, V.F., Gómez-Aguilar, J.F. (2019). Fractional Kuramoto-Sivashinsky equation with power law and stretched Mittag-Leffler kernel. Physica A. Statistical Mechanics and its Applications, 527, 121085, 16 pp.
Morales-Delgado, V.F., Gómez-Aguilar, J.F., and Taneco-Hernández, M.A. (2019). Analytical solution of the time fractional diffusion equation and fractional convection-diffusion equation. Revista Mexicana de Física, 65(1), 82–88.
Cuahutenango-Barro, B., Taneco-Hernández, M.A., Gómez-Aguilar, J.F. (2018). On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel. Chaos, Solitons & Fractals, 115, 283–299.
Morales-Delgado, V.F., Gómez-Aguilar, J.F., Taneco-Hernández, M.A., Escobar-Jiménez, R.F., and Olivares-Peregrino, V.H. (2018). Mathematical modeling of the smoking dynamics using fractional differential equations with local and nonlocal kernel. Journal of Nonlinear Sciences and Applications, 11(8), 994–1014.
Morales-Delgado, V.F., Gómez-Aguilar, J.F., Kumar, S. and A. Taneco-Hernández. (2018). Analytical solutions of the Keller-Segel chemotaxis model involving fractional operators without singular kernel. Eur. Phys. J. Plus,133, 200.
Morales-Delgado, V.F., Gómez-Aguilar, J.F., Taneco-Hernández, M.A., and Escobar-Jiménez, R.F. (2018). A novel fractional derivative with variable- and constant-order applied to a mass-spring-damper system. The European Physical Journal Plus, 133,
Morales-Delgado, V.F., Gómez-Aguilar, J.F., Taneco-Hernández, M.A., and Escobar-Jiménez, R.F. (2018). Fractional operator without singular kernel: Applications to linear electrical circuits. International Journal of Circuit Theory and Applications, 1-26 pp. 10.1002/cta.2564.
Morales-Delgado, V.F., Gómez-Aguilar, J.F., Taneco-Hernández, M.A., and Baleanu, D. (2018).Modeling the fractional non-linear Schrödinger equation via Liouville-Caputo fractional derivative. Optik, 162, 1-7.
Morales-Delgado, V.F., Gómez-Aguilar, J.F., Escobar-Jiménez, R.F., and Taneco-Hernández, M.A. (2018). Fractional conformable derivatives of Liouville-Caputo type with low-fractionality. Physica A. Statistical Mechanics and its Applications, 503, 424–438.
Morales-Delgado, V.F., Gómez-Aguilar, J.F., and Taneco-Hernández, M.A. (2018). Analytical solutions of electrical circuits described by fractional conformable derivatives in Liouville-Caputo sense. AEU-International Journal of Electronics and Communications, 85, 108-117.
Cuahutenango-Barro, B., Taneco-Hernández, M.A. & Gómez-Aguilar, J.F. (2017). Application of fractional derivative with exponential law to bi-fractional-order wave equation with frictional memory kernel. Phys. J. Plus132, 515.
Morales-Delgado, V.F., Gómez-Aguilar, J.F. & Taneco-Hernández, M.A. (2017). Analytical solutions for the motion of a charged particle in electric and magnetic fields via non-singular fractional derivatives. Phys. J. Plus132, 527.
Gómez-Aguilar, J.F., Escobar-Jiménez, R.F., Olivares-Peregrino, V.H., Taneco-Hernández, M.A., and Guerrero-Ramírez, G.V. (2017). Electrical circuits RC and RL involving fractional operators with bi-order. Advances in Mechanical Engineering, 9(6), 1–10.
Morales-Delgado, V.F., Taneco-Hernández, M.A., and Gómez-Aguilar, J.F. (2017). On the solutions of fractional-order of evolution equations. European Physical Journal Plus, 132(47), 1-16.
Gómez-Aguilar, J.F., Morales-Delgado,F., Taneco-Hernández, M.A., Baleanu, D., Escobar-Jiménez, R.F., and Qurashi, M.A. (2016). Analytical solutions of the electrical RLC circuit via Liouville-Caputo operators with local and non-local kernels. Entropy, 18(402), 1-12.
Capítulos de Libros
Morales-Delgado, V.F., Gómez-Aguilar, J.F., Torres, L., Escobar-Jiménez, R.F., and Taneco-Hernández, M.A. (2019). Exact solutions for the Liénard type model via fractional homotopy methods. In Gómez-Aguilar, J.F., et. al. (Eds.). Fractional Derivatives with Mittag-Leffler Kernel. Studies in Systems, Decision and Control, 194, 269-291. Springer, Cham.
