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A fractional derivative inclusion problem via an integral boundary condition

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Date

2016

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Eudoxus Press, Llc

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Matematik
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Abstract

We investigate the existence of solutions for the fractional differential inclusion (c)D(alpha)x(t) is an element of F(t, x(t)) (equipped with the boundary value problems x(0) = 0 and x(1) = integral(eta)(0) x(s)ds, where 0 < eta < 1, 1 < alpha <= 2, D-c(alpha) is the standard Caputo differentiation and F : [0, 1] x R -> 2(R) is a compact valued multifunction. An illustrative example is also discussed.

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Mohammadi, Hakimeh/0000-0002-7492-9782

Keywords

Fixed Point, Fractional Differential Inclusion, Integral Boundary Value Problem

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Citation

Baleanu, D...et al. (2016). A fractional derivative inclusion problem via an integral boundary condition. Journal of Computational Analysis and Applications, 21(3), 504-514.

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N/A

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Q4

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Volume

21

Issue

3

Start Page

504

End Page

514

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