A Smooth Solution of a Singular Fractional Differential Equation | Zendy

Kaido Lätt | Zendy; Arvet Pedas | Zendy; Gennadi Vainikko | Zendy

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A Smooth Solution of a Singular Fractional Differential Equation

Author(s) -

Kaido Lätt,

Arvet Pedas,

Gennadi Vainikko

Publication year - 2015

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1532

Subject(s) - volterra integral equation , mathematics , singular solution , differential equation , singular integral , operator (biology) , integral equation , mathematical analysis , fractional calculus , volterra equations , physics , nonlinear system , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene

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.

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