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Complementary equations: a fractional differential equation and a Volterra integral equation
Author(s) -
Leigh C. Becker,
Theodore Burton,
Ioannis K. Purnaras
Publication year - 2015
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2015.1.12
Subject(s) - mathematics , volterra integral equation , integral equation , integro differential equation , differential equation , summation equation , mathematical analysis , first order partial differential equation
It is shown that a continuous, absolutely integrable function satisfies the initial value problem D q x(t) = f(t, x(t)), lim t!0+ t 1 q x(t) = x 0 (0 < q < 1)

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