A Smooth Solution of a Singular Fractional Differential Equation

Kaido Lätt; Arvet Pedas; Gennadi Vainikko

doi:10.4171/zaa/1532

JournalszaaVol. 34, No. 2pp. 127–146

A Smooth Solution of a Singular Fractional Differential Equation

Kaido Lätt
Tartu University, Estonia
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Arvet Pedas
Tartu University, Estonia
- MathSciNet
- zbMATH Open
Gennadi Vainikko
Tartu University, Estonia
- MathSciNet
- zbMATH Open

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Abstract

In this article we examine the existence of a unique smooth solution to a singular fractional differential equation. We reformulate the singular equation with the help of cordial Volterra integral operators and then extend a result from cordial Volterra integral operator theory.

Cite this article

Kaido Lätt, Arvet Pedas, Gennadi Vainikko, A Smooth Solution of a Singular Fractional Differential Equation. Z. Anal. Anwend. 34 (2015), no. 2, pp. 127–146

DOI 10.4171/ZAA/1532