"Existence and Continuity of Solutions of Systems of Fractional Differe" by Santiago Guadalupe and Mar ́ıa Ine ́s Troparevsky

Progress in Fractional Differentiation & Applications

Article Title

Existence and Continuity of Solutions of Systems of Fractional Differential Equations

Authors

Santiago Guadalupe, Department of Mathematics, Faculty of Engineering, Buenos Aires University, Buenos Aires, ArgentinaFollow
Mar ́ıa Ine ́s Troparevsky, Department of Mathematics, Faculty of Engineering, Buenos Aires University, Buenos Aires, ArgentinaFollow

Author Country (or Countries)

Argentina

Abstract

In this work we present some results for systems of fractional differential equations described by Caputo-Fabrizio fractional derivative. Existence and uniqueness of solutions are extended to the vectorial case and continuity of solutions with respect to data is stated. Some characteristics of this fractional operator are highlighted. Numerical simulations of the evolution of a system that models the epidemiological phenomenon of a disease with vaccination and treatment in a variable population is presented.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090105

Recommended Citation

Guadalupe, Santiago and ́ıa Ine ́s Troparevsky, Mar (2023) "Existence and Continuity of Solutions of Systems of Fractional Differential Equations," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 1, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/090105
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss1/5

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