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Existence and Continuity of Solutions of Systems of Fractional Differential Equations |
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PP: 79-89 |
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doi:10.18576/pfda/090105
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Author(s) |
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Santiago Guadalupe,
Mar ́ıa Ine ́s Troparevsky,
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Abstract |
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| 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.
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