On a Caputo Fractional Differential Inclusion with Integral Boundary Condition for Convex-Compact and Nonconvex-Compact Valued Multifunctions
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 1, p. 143

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In this paper, we investigate a Caputo fractional differential inclusion with integral boundary condition under different conditions. First, we investigate it for $L^{1}$-Caratheodory convex-compact valued multifunction. Then, we investigate it for nonconvex-compact valued multifunction via some conditions. Also we give two examples to illustrate our results.
Classification : 34A60 34B15
Keywords: Fixed point, fractional differential inclusion, integral boundary value problem
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     author = {SH. Rezapour and V. Hedayati},
     title = {On a {Caputo} {Fractional} {Differential} {Inclusion} with {Integral} {Boundary} {Condition} for {Convex-Compact} and {Nonconvex-Compact} {Valued} {Multifunctions}},
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SH. Rezapour; V. Hedayati. On a Caputo Fractional Differential Inclusion with Integral Boundary Condition for Convex-Compact and Nonconvex-Compact Valued Multifunctions. Kragujevac Journal of Mathematics, Tome 41 (2017) no. 1, p. 143 . http://geodesic.mathdoc.fr/item/KJM_2017_41_1_a8/