4.0 Article

On the Fractional Functional Differential Equation with Abstract Volterra Operator

Journal

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
Volume 50, Issue 4, Pages 803-822

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00574-019-00139-y

Keywords

Psi-Hilfer fractional derivative; Existence; Uniqueness; Data dependence; Abstract Volterra operator; Functional fractional differential equation

Categories

Funding

  1. PNPD-CAPES scholarship of the PosGraduate Program in Applied Mathematics IMECC-Unicamp

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The present paper plans to examine the existence, uniqueness and data dependence of the solution of the fractional functional differential equation with the abstract Volterra operator, in the context of the Picard operators. We present an example, with the end goal to illustrate the results obtained.

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