Asymptotic integration of fractional differential equations with integrodifferential right-hand side

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In this paper we deal with the problem of asymptotic integration of a class of fractional differential equations of the Caputo type. The left-hand side of such type of equation is the Caputo derivative of the fractional order r∈(n-1,n) of the solution, and the right-hand side depends not only on ordinary derivatives up to order n-1 but also on the Caputo derivatives of fractional orders 0

Klíčová slova
Caputo fractional derivative
nonlinear equation
asymptotic property
desingularization.