| Decolonisation of fractional calculus rules: breaking commutativity and associativity to capture more natural phenomenaA Atangana, JF Gómez-AguilarThe European Physical Journal Plus 133 (4), 166 | 216 | 2018 |
| Fractional derivatives with no-index law property: application to chaos and statisticsA Atangana, JF Gómez-AguilarChaos, Solitons & Fractals 114, 516-535 | 117 | 2018 |
| Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular KernelJF Gómez-Aguilar, H Yépez-Martínez, C Calderón-Ramón, I Cruz-Orduña, …Entropy 17 (9), 6289-6303 | 108 | 2015 |
| Fractional mechanical oscillatorsJF Gómez-Aguilar, JJ Rosales-García, JJ Bernal-Alvarado, …Revista mexicana de física 58 (4), 348-352 | 100 | 2012 |
| New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applicationsJF Gómez-Aguilar, A AtanganaThe European Physical Journal Plus 132 (1), 13 | 91 | 2017 |
| Modeling diffusive transport with a fractional derivative without singular kernelJF Gómez-Aguilar, MG López-López, VM Alvarado-Martínez, …Physica A: Statistical Mechanics and its Applications 447, 467-481 | 78 | 2016 |
| Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernelJF Gómez-Aguilar, H Yépez-Martínez, J Torres-Jiménez, …Advances in Difference Equations 2017 (1), 1-18 | 75 | 2017 |
| Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐BaleanuA Atangana, JF Gómez‐AguilarNumerical Methods for Partial Differential Equations | 75 | 2017 |
| The Feng’s first integral method applied to the nonlinear mKdV space-time fractional partial differential equationH Yépez-Martínez, F Gómez-Aguilar, IO Sosa, JM Reyes, …Revista mexicana de física 62 (4), 310-316 | 74 | 2016 |
| A new derivative with normal distribution kernel: Theory, methods and applicationsA Atangana, JF Gómez-AguilarPhysica A: Statistical mechanics and its applications 476, 1-14 | 73 | 2017 |
| A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory responseJF Gómez-Aguilar, R Razo-Hernández, D Granados-LiebermanRevista mexicana de física 60 (1), 32-38 | 72 | 2014 |
| Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singularVF Morales-Delgado, JF Gómez-Aguilar, H Yépez-Martínez, D Baleanu, …Advances in Difference Equations 2016 (1), 1-17 | 70 | 2016 |
| Analytical solutions of the electrical RLC circuit via Liouville–Caputo operators with local and non-local kernelsJF Gómez-Aguilar, VF Morales-Delgado, MA Taneco-Hernández, …Entropy 18 (8), 402 | 69 | 2016 |
| Fractional Liénard type model of a pipeline within the fractional derivative without singular kernelJF Gómez-Aguilar, L Torres, H Yépez-Martínez, D Baleanu, JM Reyes, …Advances in Difference Equations 2016 (1), 173 | 65 | 2016 |
| Analytical and numerical solutions of electrical circuits described by fractional derivativesJF Gómez-Aguilar, H Yépez-Martínez, RF Escobar-Jiménez, …Applied Mathematical Modelling 40 (21-22), 9079-9094 | 62 | 2016 |
| A numerical solution for a variable-order reaction–diffusion model by using fractional derivatives with non-local and non-singular kernelA Coronel-Escamilla, JF Gómez-Aguilar, L Torres, RF Escobar-JiménezPhysica A: Statistical Mechanics and its Applications | 60 | 2018 |
| Bateman–Feshbach Tikochinsky and Caldirola–Kanai oscillators with new fractional differentiationA Coronel-Escamilla, JF Gómez-Aguilar, D Baleanu, T Córdova-Fraga, …Entropy 19 (2), 55 | 60 | 2017 |
| Irving–Mullineux oscillator via fractional derivatives with Mittag-Leffler kernelJF Gómez-AguilarChaos, Solitons & Fractals 95, 179-186 | 59 | 2017 |
| Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivativesJF Gómez‐Aguilar, A Atangana, VF Morales‐DelgadoInternational Journal of Circuit Theory and Applications 45 (11), 1514-1533 | 58 | 2017 |
| Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler lawsA Atangana, JF Gómez-AguilarChaos, Solitons & Fractals 102, 285-294 | 57 | 2017 |
| Modeling and simulation of the fractional space-time diffusion equationJF Gómez-Aguilar, M Miranda-Hernández, MG López-López, …Communications in Nonlinear Science and Numerical Simulation 30 (1-3), 115-127 | 57 | 2016 |
| Electrical circuits described by a fractional derivative with regular KernelJF Gómez-Aguilar, T Córdova-Fraga, JE Escalante-Martínez, …Revista Mexicana de Física 62 (2), 144-154 | 56 | 2016 |
| Analysis of reaction–diffusion system via a new fractional derivative with non-singular kernelKM Saad, JF Gómez-AguilarPhysica A: Statistical Mechanics and its Applications 509, 703-716 | 55 | 2018 |
| Space–time fractional diffusion equation using a derivative with nonsingular and regular kernelJF Gómez-AguilarPhysica A: Statistical Mechanics and its Applications 465, 562-572 | 55 | 2017 |
| Triple pendulum model involving fractional derivatives with different kernelsA Coronel-Escamilla, JF Gómez-Aguilar, MG López-López, …Chaos, Solitons & Fractals 91, 248-261 | 55 | 2016 |
| Solutions of the Telegraph Equations using a Fractional Calculus ApproachJFG AGUILAR, D BALEANUProceedings of the Romanian Academy A, 15 (1), 27-34 | 54 | 2014 |
| On the solutions of fractional order of evolution equationsVF Morales-Delgado, MA Taneco-Hernández, JF Gómez-AguilarThe European Physical Journal Plus 132 (1), 1-14 | 53 | 2017 |
| Fractional transmission line with lossesJF Gómez-Aguilar, B DumitruZeitschrift für Naturforschung A 69 (10-11), 539-546 | 52 | 2014 |
| RLC electrical circuit of non-integer orderF Gómez, J Rosales, M GuíaOpen Physics 11 (10), 1361-1365 | 51 | 2013 |
| Atangana-Baleanu fractional derivative applied to electromagnetic waves in dielectric mediaJF Gómez-Aguilar, RF Escobar-Jiménez, MG López-López, …Journal of Electromagnetic Waves and Applications 30 (15), 1937-1952 | 48 | 2016 |
| Synchronization of chaotic systems involving fractional operators of Liouville–Caputo type with variable-orderA Coronel-Escamilla, JF Gómez-Aguilar, L Torres, RF Escobar-Jiménez, …Physica A: Statistical Mechanics and its Applications 487, 1-21 | 38 | 2017 |
| Modeling and simulation of equivalent circuits in description of biological systems-a fractional calculus approachF Gómez, J Bernal, J Rosales, T CordovaJournal of Electrical Bioimpedance 3 (1), 2-11 | 37 | 2019 |
| A new modified definition of Caputo–Fabrizio fractional-order derivative and their applications to the Multi Step Homotopy Analysis Method (MHAM)H Yépez-Martínez, JF Gómez-AguilarJournal of Computational and Applied Mathematics 346, 247-260 | 35 | 2019 |
| Analytical and Numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equationsJF Gómez-AguilarPhysica A: Statistical Mechanics and its Applications | 35 | 2018 |
| Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networksCJ Zúñiga-Aguilar, HM Romero-Ugalde, JF Gómez-Aguilar, …Chaos, Solitons & Fractals 103, 382-403 | 33 | 2017 |
| Fractional electromagnetic wavesJJ Rosales, JF Gómez, M Guía, VI Tkach2011 11th International Conference on Laser and Fiber-Optical Networks … | 33 | 2011 |
| Modeling the dynamics of nutrient–phytoplankton–zooplankton system with variable-order fractional derivativesB Ghanbari, JF Gómez-AguilarChaos, Solitons & Fractals 116, 114-120 | 31 | 2018 |
| A survey on modeling, biofuels, control and supervision systems applied in internal combustion enginesDA Carbot-Rojas, RF Escobar-Jiménez, JF Gómez-Aguilar, …Renewable and Sustainable Energy Reviews 73, 1070-1085 | 30 | 2017 |
| On the solutions of fractional-time wave equation with memory effect involving operators with regular kernelB Cuahutenango-Barro, MA Taneco-Hernández, JF Gómez-AguilarChaos, Solitons & Fractals 115, 283-299 | 28 | 2018 |
| Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler lawsJE Solís-Pérez, JF Gómez-Aguilar, A AtanganaChaos, Solitons & Fractals 114, 175-185 | 27 | 2018 |
| On the trajectory tracking control for an SCARA robot manipulator in a fractional model driven by induction motors with PSO tuningA Coronel-Escamilla, F Torres, JF Gómez-Aguilar, RF Escobar-Jiménez, …Multibody System Dynamics 43 (3), 257-277 | 27 | 2018 |
| Chaos in a cancer model via fractional derivatives with exponential decay and Mittag-Leffler lawJF Gómez-Aguilar, MG López-López, VM Alvarado-Martínez, D Baleanu, …Entropy 19 (12), 681 | 27 | 2017 |
| Analysis on the time and frequency domain for the RC electric circuit of fractional orderM Guía, F Gómez, J RosalesCentral European Journal of Physics 11 (10), 1366-1371 | 27 | 2013 |
| A comparison of heat and mass transfer on a Walter’sB fluid via Caputo-Fabrizio versus Atangana-Baleanu fractional derivatives using the Fox-H functionKA Abro, JF Gómez-AguilarThe European Physical Journal Plus 134 (3), 101 | 26 | 2019 |
| Analytical solutions of electrical circuits described by fractional conformable derivatives in Liouville-Caputo senseVF Morales-Delgado, JF Gómez-Aguilar, MA Taneco-HernandezAEU-International Journal of Electronics and Communications 85, 108-117 | 26 | 2018 |
| Behavior characteristics of a cap-resistor, memcapacitor, and a memristor from the response obtained of RC and RL electrical circuits described by fractional differential …JF Gomez AguilarTurkish Journal of Electrical Engineering & Computer Sciences 24 (3) | 26 | 2016 |
| Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: a fractional calculus approachVF Morales-Delgado, JF Gómez-Aguilar, KM Saad, MA Khan, P AgarwalPhysica A: Statistical Mechanics and its Applications 523, 48-65 | 25 | 2019 |
| Chaos in a nonlinear Bloch system with Atangana–Baleanu fractional derivativesJF Gómez‐AguilarNumerical Methods for Partial Differential Equations | 25 | 2017 |
| A mathematical analysis of a circular pipe in rate type fluid via Hankel transformKA Abro, I Khan, JF Gómez-AguilarThe European Physical Journal Plus 133 (10), 397 | 23 | 2018 |
| Series solution for the time-fractional coupled mKdV equation using the homotopy analysis methodJF Gómez-Aguilara, H Yépez-Martınezb, RF Escobar-Jiménezc, …MATHEMATICAL PROBLEMS IN ENGINEERING | 23 | 2016 |
| Fractional Dynamics of Charged Particles in Magnetic FieldsA Coronel-Escamilla, JF Gómez-Aguilar, E Alvarado-Méndez, …International Journal of Modern Physics C | 22 | 2016 |
| Nonlocal transport processes and the fractional cattaneo-vernotte equationJF Aguilar, T Córdova-Fraga, J Tórres-Jiménez, RF Escobar-Jiménez, …Mathematical Problems in Engineering 2016 | 22 | 2016 |
| Fractional conformable derivatives of Liouville–Caputo type with low-fractionalityVF Morales-Delgado, JF Gómez-Aguilar, RF Escobar-Jiménez, …Physica A: Statistical Mechanics and its Applications 503, 424-438 | 20 | 2018 |
| Fractional Hunter-Saxton equation involving partial operators with bi-order in Riemann-Liouville and Liouville-Caputo senseJF Gómez-Aguilar, A AtanganaThe European Physical Journal Plus 132 (2), 100 | 20 | 2017 |
| Two dimensional fractional projectile motion in a resisting mediumJ Rosales, M Guía, F Gómez, F Aguilar, J MartínezOpen Physics 12 (7), 517-520 | 20 | 2014 |
| Stability analysis for fractional order advection–reaction diffusion systemH Khan, JF Gómez-Aguilar, A Khan, TS KhanPhysica A: Statistical Mechanics and its Applications 521, 737-751 | 19 | 2019 |
| Thermal effects of magnetohydrodynamic micropolar fluid embedded in porous medium with Fourier sine transform techniqueKA Abro, I Khan, JF Gómez-AguilarJournal of the Brazilian Society of Mechanical Sciences and Engineering 41 … | 19 | 2019 |
| Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methodsKM Saad, MM Khader, JF Gómez-Aguilar, D BaleanuChaos: An Interdisciplinary Journal of Nonlinear Science 29 (2), 023116 | 19 | 2019 |
| Fractional derivatives with the power-law and the Mittag–Leffler kernel applied to the nonlinear Baggs–Freedman modelJF Gómez-Aguilar, A AtanganaFractal and Fractional 2 (1), 10 | 19 | 2018 |
| A novel fractional derivative with variable-and constant-order applied to a mass-spring-damper systemVF Morales-Delgado, JF Gomez-Aguilar, MA Taneco-Hernandez, …The European Physical Journal Plus 133 (2), 78 | 19 | 2018 |
| New numerical approximation for solving fractional delay differential equations of variable order using artificial neural networksCJ Zúñiga-Aguilar, A Coronel-Escamilla, JF Gómez-Aguilar, …The European Physical Journal Plus 133 (2), 75 | 19 | 2018 |
| Robust control for fractional variable-order chaotic systems with non-singular kernelCJ Zuñiga-Aguilar, JF Gómez-Aguilar, RF Escobar-Jiménez, …The European Physical Journal Plus 133 (1), 13 | 19 | 2018 |
| Formulation of Euler-Lagrange and Hamilton equations involving fractional operators with regular kernelA Coronel-Escamilla, JF Gómez-Aguilar, D Baleanu, RF Escobar-Jiménez, …Advances in Difference Equations 2016 (1), 283 | 19 | 2016 |
| Behavior characteristics of a cap-resistor, memcapacitor, and a memristor from the response obtained of RC and RL electrical circuits described by fractional differential equationsJFG AGUILARTurkish Journal of Electrical Engineering & Computer Sciences 24 (3), 1421-1433 | 19 | 2016 |
| Universal character of the fractional space-time electromagnetic waves in dielectric mediaJF Gómez-Aguilar, H Yépez-Martínez, RF Escobar-Jiménez, …Journal of Electromagnetic Waves and Applications 29 (6), 727-740 | 19 | 2015 |
| Chaos in a calcium oscillation model via Atangana-Baleanu operator with strong memoryJF Gómez-Aguilar, KA Abro, O Kolebaje, A YildirimThe European Physical Journal Plus 134 (4), 140 | 18 | 2019 |
| Analytical solutions of the Keller-Segel chemotaxis model involving fractional operators without singular kernelVF Morales-Delgado, JF Gómez-Aguilar, S Kumar, …The European Physical Journal Plus 133 (5), 200 | 18 | 2018 |
| Energy management control strategy to improve the FC/SC dynamic behavior on hybrid electric vehicles: A frequency based distributionC Sandoval, VM Alvarado, JC Carmona, GL Lopez, JF Gomez-AguilarRenewable energy 105, 407-418 | 18 | 2017 |
| Space-Time Fractional Diffusion-Advection Equation with Caputo DerivativeJFG Aguilar, MM HernándezAbstract and Applied Analysis 2014, 8 Pages | 18 | 2014 |
| Fundamental solutions to electrical circuits of non-integer order via fractional derivatives with and without singular kernelsJF Gómez-AguilarThe European Physical Journal Plus 133 (5), 197 | 17 | 2018 |
| Control of the air supply subsystem in a PEMFC with balance of plant simulationA Cruz Rojas, G Lopez Lopez, JF Gomez-Aguilar, VM Alvarado, …Sustainability 9 (1), 73 | 17 | 2017 |
| Experimental evaluation of viscous damping coefficient in the fractional underdamped oscillatorJE Escalante-Martínez, JF Gómez-Aguilar, C Calderón-Ramón, …Advances in Mechanical Engineering 8 (4), 1687814016643068 | 17 | 2016 |
| A New Methodology for Tracking and Instantaneous Characterization of Voltage VariationsM Valtierra-Rodriguez, D Granados-Lieberman, JE Torres-Fernandez, …IEEE | 17 | 2016 |
| Fractional RC and LC electrical circuitsJF Gómez-Aguilar, J Rosales-García, JR Razo-Hernández, …Ingeniería. Investigación y Tecnología 15 (2), 311-319 | 17 | 2014 |
| Experimental implementation of a control scheme to feed a hydrogen-enriched E10 blend to an internal combustion engineJ García-Morales, M Cervantes-Bobadilla, RF Escobar-Jimenez, …International Journal of Hydrogen Energy 42 (39), 25026-25036 | 16 | 2017 |
| Schrödinger equation involving fractional operators with non-singular kernelJF Gomez-Aguilar, D BaleanuJournal of Electromagnetic Waves and Applications 31 (7), 752-761 | 16 | 2017 |
| Fractional RC and LC electrical circuitsGAJ Francisco, RG Juan, GC Manuel, RHJ RobertoIngeniería, Investigación y Tecnología 15 (2), 311-319 | 16 | 2014 |
| Beta-derivative and sub-equation method applied to the optical solitons in medium with parabolic law nonlinearity and higher order dispersionH Yépez-Martínez, JF Gómez-Aguilar, D BaleanuOptik 155, 357-365 | 15 | 2018 |
| Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernelH Yépez-Martínez, JF Gómez-AguilarMathematical Modelling of Natural Phenomena 13 (1), 13 | 15 | 2018 |
| Hybrid PEMFC-supercapacitor system: Modeling and energy management in energetic macroscopic representationGL Lopez, RS Rodriguez, VM Alvarado, JF Gomez-Aguilar, JE Mota, …Applied Energy 205, 1478-1494 | 15 | 2017 |
| Chaotic attractors with fractional conformable derivatives in the Liouville–Caputo sense and its dynamical behaviorsJES Pérez, JF Gómez-Aguilar, D Baleanu, F TchierEntropy 20 (5), 384 | 14 | 2018 |
| First integral method for non-linear differential equations with conformable derivativeH Yépez-Martínez, JF Gómez-Aguilar, A AtanganaMathematical Modelling of Natural Phenomena 13 (1), 14 | 13 | 2018 |
| A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillatorsJE Escalante-Martínez, JF Gómez-Aguilar, C Calderón-Ramón, …International Journal of Biomathematics | 13 | 2018 |
| Equivalent circuits applied in electrochemical impedance spectroscopy and fractional derivatives with and without singular kernelJF Gómez-Aguilar, JE Escalante-Martínez, C Calderón-Ramón, …Advances in Mathematical Physics 2016 | 13 | 2016 |
| Nonlocal electrical diffusion equationJF Gómez-Aguilar, RF Escobar-Jiménez, VH Olivares-Peregrino, …International Journal of Modern Physics C, 1650007 | 13 | 2016 |
| Analysis of equivalent circuits for cells: a fractional calculus approachF Gómez-Aguilar, M Guía-Calderón, J Rosales-García, J Bernal-AlvaradoIngeniería. Investigación y Tecnología 13 (3), 375-384 | 13 | 2012 |
| Stability analysis and numerical solutions of fractional order HIV/AIDS modelA Khan, JF Gómez-Aguilar, TS Khan, H KhanChaos, Solitons & Fractals 122, 119-128 | 12 | 2019 |
| Stability analysis and optimal control of a fractional human African trypanosomiasis modelE Bonyah, JF Gomez-Aguilar, A AduChaos, Solitons & Fractals 117, 150-160 | 12 | 2018 |
| Coupled reaction-diffusion waves in a chemical system via fractional derivatives in Liouville-Caputo senseKM Saad, JF Gómez-AguilarRevista mexicana de física 64 (5), 539-547 | 12 | 2018 |
| Novel analytical solutions of the fractional Drude modelJF Gómez-AguilarOptik 168, 728-740 | 12 | 2018 |
| Development of a portable device for measuring the corrosion rates of metals based on electrochemical noise signalsJH Arellano-Pérez, OJR Negrón, RF Escobar-Jiménez, JF Gómez-Aguilar, …Measurement 122, 73-81 | 12 | 2018 |
| Electromagnetic waves in conducting media described by a fractional derivative with non-singular kernelJF Gomez-Aguilar, RF Escobar-Jimenez, MG Lopez-Lopez, …Journal of Electromagnetic Waves and Applications 30 (11), 1493-1503 | 12 | 2016 |
| Experimental validation of an actuator fault tolerant control system using virtual sensor: Application in a double pipe heat exchangerDA Carbot-Rojas, RF Escobar, JF Gómez-Aguilar, G López-López, …Chemical Engineering Research and Design 104, 400-408 | 12 | 2015 |
| Fractional sub-equation method for Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivativeH Yépez-Martínez, JF Gómez-AguilarWaves in Random and Complex Media 29 (4), 678-693 | 11 | 2019 |
| Numerical simulations of multilingual competition dynamics with nonlocal derivativeKM Owolabi, JF Gómez-AguilarChaos, Solitons & Fractals 117, 175-182 | 11 | 2018 |
| Design of a state observer to approximate signals by using the concept of fractional variable-order derivativeA Coronel-Escamilla, JF Gómez-Aguilar, L Torres, M Valtierra-Rodriguez, …Digital Signal Processing 69, 127-139 | 11 | 2017 |
| Master-slave synchronization of robot manipulators driven by induction motorsFJ Torres, GV Guerrero, CD Garcia, JF Gomez, M Adam, RF EscobarIEEE Latin America Transactions 14 (9), 3986-3991 | 11 | 2016 |
| Electrochemical noise analysis to identify the corrosion type using the Stockwell transform and the Shannon energyOJ Ramos-Negrón, JH Arellano-Pérez, RF Escobar-Jiménez, …Journal of Electroanalytical Chemistry 836, 50-61 | 10 | 2019 |
| Classical and fractional-order modeling of equivalent electrical circuits for supercapacitors and batteries, energy management strategies for hybrid systems and methods for the …JI Hidalgo-Reyes, JF Gómez-Aguilar, RF Escobar-Jiménez, …Microelectronics Journal 85, 109-128 | 10 | 2019 |
| Time-fractional variable-order telegraph equation involving operators with Mittag-Leffler kernelJF Gómez-Aguilar, A AtanganaJournal of Electromagnetic Waves and Applications 33 (2), 165-177 |
