H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 45 Citations 6,152 186 World Ranking 774 National Ranking 1

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Thermodynamics
  • Algebra

José Francisco Gómez-Aguilar mostly deals with Fractional calculus, Mathematical analysis, Applied mathematics, Kernel and Kernel. His Fractional calculus research includes elements of Function, Dynamical systems theory, Laplace transform and Finite difference method. The study incorporates disciplines such as Order and Dissipative system in addition to Mathematical analysis.

His Applied mathematics study incorporates themes from Probability distribution, Derivative, Stability, Nonlinear system and Order. His research in Kernel intersects with topics in Operator and Power law. His work deals with themes such as Lévy distribution, Random variable and Normal distribution, which intersect with Kernel.

His most cited work include:

  • Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena (263 citations)
  • Fractional derivatives with no-index law property: Application to chaos and statistics (190 citations)
  • Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu (135 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Fractional calculus, Applied mathematics, Mathematical analysis, Laplace transform and Order. His study in Fractional calculus focuses on Mittag-Leffler function in particular. The Applied mathematics study combines topics in areas such as Order, Kernel, Derivative, Nonlinear system and Numerical analysis.

His study in the fields of Wave equation, Fourier transform and Partial differential equation under the domain of Mathematical analysis overlaps with other disciplines such as Electrical network. As a part of the same scientific family, José Francisco Gómez-Aguilar mostly works in the field of Laplace transform, focusing on Uniqueness and, on occasion, Fixed-point theorem. His Chaotic research is multidisciplinary, incorporating elements of Lagrange polynomial and Attractor.

He most often published in these fields:

  • Fractional calculus (55.37%)
  • Applied mathematics (39.67%)
  • Mathematical analysis (25.62%)

What were the highlights of his more recent work (between 2019-2021)?

  • Applied mathematics (39.67%)
  • Fractional calculus (55.37%)
  • Order (10.74%)

In recent papers he was focusing on the following fields of study:

José Francisco Gómez-Aguilar focuses on Applied mathematics, Fractional calculus, Order, Laplace transform and Chaotic. The various areas that José Francisco Gómez-Aguilar examines in his Applied mathematics study include Invertible matrix, Kernel, Order, Numerical analysis and Variable. His Fractional calculus research integrates issues from Nanofluid, Derivative, Lagrange polynomial, Uniqueness and Nonlinear system.

His Order research focuses on subjects like Conformable matrix, which are linked to Chaotic systems. His Laplace transform study combines topics from a wide range of disciplines, such as Approximate solution and Homotopy, Homotopy analysis method. His study focuses on the intersection of Chaotic and fields such as Attractor with connections in the field of Power law.

Between 2019 and 2021, his most popular works were:

  • A fractional order HIV‐TB coinfection model with nonsingular Mittag‐Leffler Law (41 citations)
  • A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment (38 citations)
  • On exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger’s equations using homotopy analysis transform method (38 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Thermodynamics
  • Algebra

His primary scientific interests are in Applied mathematics, Fractional calculus, Order, Chaotic and Numerical analysis. He integrates many fields, such as Applied mathematics and Exponential decay, in his works. His study in Fractional calculus is interdisciplinary in nature, drawing from both Lyapunov exponent, Derivative, Stability, Lagrange polynomial and Vector field.

His research investigates the connection between Vector field and topics such as Thermal conductivity that intersect with issues in Laplace transform. He has researched Order in several fields, including Stability, Integro-differential equation and Invertible matrix. José Francisco Gómez-Aguilar has included themes like Neuroscience and Dynamics in his Chaotic study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena

Abdon Atangana;J. F. Gómez-Aguilar.
European Physical Journal Plus (2018)

323 Citations

Fractional derivatives with no-index law property: Application to chaos and statistics

Abdon Atangana;José Francisco Gómez‐Aguilar.
Chaos Solitons & Fractals (2018)

210 Citations

Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu

Abdon Atangana;J. F. Gómez-Aguilar.
Numerical Methods for Partial Differential Equations (2018)

166 Citations

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.
Entropy (2015)

133 Citations

Fractional mechanical oscillators

J.F. Gómez-Aguilar;J.J. Rosales-García;J.J. Bernal-Alvarado;T. Córdova-Fraga.
Revista Mexicana De Fisica (2012)

126 Citations

New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications

J. F. Gómez-Aguilar;Abdon Atangana.
European Physical Journal Plus (2017)

125 Citations

Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives

José Francisco Gómez-Aguilar;Abdon Atangana;Victor Fabian Morales-Delgado.
International Journal of Circuit Theory and Applications (2017)

102 Citations

Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular

Victor Fabian Morales-Delgado;José Francisco Gómez-Aguilar;Huitzilin Yépez-Martínez;Dumitru Baleanu.
Advances in Difference Equations (2016)

97 Citations

A new derivative with normal distribution kernel: Theory, methods and applications

Abdon Atangana;J.F. Gómez-Aguilar.
Physica A-statistical Mechanics and Its Applications (2017)

97 Citations

Modeling diffusive transport with a fractional derivative without singular kernel

J.F. Gómez-Aguilar;M.G. López-López;V.M. Alvarado-Martínez;J. Reyes-Reyes.
Physica A-statistical Mechanics and Its Applications (2016)

96 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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