Set-valued Fractional Order Differential Equations in the Space of Summable Functions
نویسنده
چکیده
In this paper, we study the existence of integrable solutions for the set-valued differential equation of fractional type ( Dn − n−1 ∑ i=1 aiD αi ) x(t) ∈ F (t, x(φ(t))), a.e. on (0, 1), I1−αnx(0) = c, αn ∈ (0, 1), where F (t, ·) is lower semicontinuous from R into R and F (·, ·) is measurable. The corresponding single-valued problem will be considered first.
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