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Filippov's theorem for impulsive differential inclusions with fractional order.

Ouahab, Abdelghani (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Fixed time impulsive differential inclusions.

Donchev, Tzanko (2007)

Surveys in Mathematics and its Applications

Functional differential equations with pulses.

Drakhlin, M., Litsyn, E. (1995)

Memoirs on Differential Equations and Mathematical Physics

Functions of finite fractional variation and their applications to fractional impulsive equations

Dariusz Idczak (2017)

Czechoslovak Mathematical Journal

We introduce a notion of a function of finite fractional variation and characterize such functions together with their weak $σ$ -additive fractional derivatives. Next, we use these functions to study differential equations of fractional order, containing a $σ$ -additive term—we prove existence and uniqueness of a solution as well as derive a Cauchy formula for the solution. We apply these results to impulsive equations, i.e. equations containing the Dirac measures.

Displaying 1 – 4 of 4

Filippov's theorem for impulsive differential inclusions with fractional order.

Fixed time impulsive differential inclusions.

Functional differential equations with pulses.

Functions of finite fractional variation and their applications to fractional impulsive equations

Currently displaying 1 – 4 of 4