Projects per year
Personal profile
Research Interests
Miguel Vivas Cortez, born in Acarigua, Portuguese State (Venezuela) in 1972, graduated as a Mathematician from the Universidad Centroccidental Lisandro Alvarado (UCLA), where he also obtained his master's degree in mathematics, pure mathematical mention, his thesis was published in the prestigious journal (Q1 Scopus) Nonlinear Analysis: Real World Applications (United Kingdom). He received his Doctor of Science degree, Mathematical Mention, from the Central University of Venezuela (UCV), his thesis generated 4 publications in prestigious international journals. He has more than 160 scientific publications, more than a thousand citations, has directed several degree and thesis works, in lines of research such as: Differential Equations (Ecological Models), Fractional Derivatives (Conforming and Non-Conforming), Nonlinear Analysis (Generalized Convexity) and Functional Analysis (Generalized Bounded Variation Functions), he is the author of several textbooks among which the following stand out: Linear algebra. A practical approach, Differential Calculus for Science and Engineering, Pre-Calculus Mathematics, and Analysis in a Complex Variable, among others. Ranked worldwide by SciVal Scopus among the 100 most productive mathematicians (period 2018-2023) in the area of analysis for their volume of publications in Scopus. Dr. Vivas has more than 25 years of experience as a professor of mathematics in university education at the undergraduate and graduate level, he entered by competitive examination in complex analysis at the Universidad Centroccidental "Lisandro Alvarado" (UCLA) in 1997, where he worked until October 2017, he has been a visiting professor at the Universidad Nacional Arturo Prat (Chile), A tenured professor at UCLA, he was a visiting professor and occasional professor at Escuela Superior Politécnica del Litoral (ESPOL), Guayaquil, Ecuador from October 2016 to September 2017. It also develops outreach activity on scientific topics related to mathematics through informative and scientific conferences in various institutions. He has been the winner of the Research Stimulus Award (PEI) and the Research Promotion Award (PPI) in Venezuela. Since September 17, 2017, he has been Principal Professor 3 (and Researcher of high scientific productivity), at the School of Physical and Mathematical Sciences of the Faculty of Exact and Natural Sciences at the Pontificia Universidad Católica de Ecuador (PUCE), Quito Campus, where he entered as the winner of the competitive examination with a grade of 97/100.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Education/Academic qualification
PhD, Doctor of Sciences, Mention in Mathematics., Universidad Central de Venezuela
Master in Mathematics: Pure Mathematics Mention, Universidad Centroccidental Lisandro Alvarado, Universidad Centroccidental Lisandro Alvarado
Bachelor of Mathematical Sciences (Mathematician), Universidad Centroccidental Lisandro Alvarado, Universidad Centroccidental Lisandro Alvarado
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Collaborations and top research areas from the last five years
Projects
- 5 Finished
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RESULTADOS CUALITATIVOS DE ECUACIONES DIFERENCIALES FRACCIONARIAS LOCALES Y DESIGUALDADES INTEGRALES
Delgado Noboa, A. C., RANGEL OLIVEROS, Y. C., NÁPOLES VALDÉS, J., VELASCO VELASCO, J. & Vivas Cortez, M. J.
15/03/22 → 16/03/24
Project: Research project
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ALGUNAS DESIGUALDADES INTEGRALES PARA FUNCIONES CONVEXAS GENERALIZADAS Y APLICACIONES
RANGEL OLIVEROS, Y. C. & Vivas Cortez, M. J.
1/03/20 → 2/03/22
Project: Research project
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ALGUNAS GENERALIZACIONES DE DESIGUALDADES INTEGRALES
Vivas Cortez, M. J. & RANGEL OLIVEROS, Y. C.
17/02/20 → 31/07/22
Project: Research project
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FUNCIONES CONVEXAS GENERALIZADAS EN PROCESOS ESTOCÁSTICOS Y OTRAS DESIGUALDADES CLÁSICAS
3/04/18 → 14/02/20
Project: Research project
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ALGUNAS DESIGUALDADES DE FUNCIONES CONVEXAS GENERALIZADAS
3/04/18 → 14/02/20
Project: Research project
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An exploration of the (3+1)-dimensional negative order KdV-CBS model: Wave solutions, Bäcklund transformation, and complexiton dynamics
Vivas-Cortez, M., Rani, B., Raza, N., Basendwah, G. A. & Imran, M., Apr 2024, In: PLoS ONE. 19, 4 April, e0296978.Research output: Contribution to journal › Article › peer-review
Open Access -
A STUDY of FRACTIONAL HERMITE-HADAMARD-MERCER INEQUALITIES for DIFFERENTIABLE FUNCTIONS
Sitthiwirattham, T., Vivas-Cortez, M., Ali, M. A., Budak, H. & Avci, I., 18 Jan 2024, In: Fractals. 32, 2, 2440016.Research output: Contribution to journal › Article › peer-review
Open Access -
Efficient results on unbounded solutions of fractional Bagley-Torvik system on the half-line
Thabet, S. T. M., Kedim, I. & Vivas-Cortez, M., 24 Jan 2024, In: AIMS Mathematics. 9, 2, p. 5071-5087 17 p.Research output: Contribution to journal › Article › peer-review
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Exploring the numerical simulation of Maxwell nanofluid flow over a stretching sheet with the influence of chemical reactions and thermal radiation
Khan, K. A., Vivas-Cortez, M., Ishfaq, K., Javed, M. F., Raza, N., Nisar, K. S. & Abdel-Aty, A. H., May 2024, In: Results in Physics. 60, 107635.Research output: Contribution to journal › Article › peer-review
Open Access -
Fractional integral inequalities and error estimates of generalized mean differences
Samraiz, M., Ghaffar, M. T., Naheed, S. & Vivas-Cortez, M., 26 Mar 2024, In: Alexandria Engineering Journal. 94, p. 172-192 21 p.Research output: Contribution to journal › Article › peer-review
Open Access
Press/Media
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Pontificia Universidad Catolica del Ecuador Researchers Detail Research in Mathematics (Raina's Function-Based Formulations of Right-Sided Simpson's and Newton's Inequalities for Generalized Coordinated Convex Functions)
15/08/23
1 item of Media coverage
Press/Media: Press / Media
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New Findings on Mathematics from Pontifical Catholic University Summarized (On Opial-type Inequality for a Generalized Fractional Integral Operator)
8/11/22
1 item of Media coverage
Press/Media: Press / Media
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ON THE OSCILLATORY BEHAVIOUR OF SOME FORCED NONLINEAR GENERALIZED DIFFERENTIAL EQUATION.
1/05/21
1 item of Media coverage
Press/Media: Press / Media