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Showing 2014Show all
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math.OC2014★ 77 cited
Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions
Amar Debbouche, Delfim F. M. Torres
We prove existence and uniqueness of mild solutions to Sobolev type fractional nonlocal dynamic equations in Banach spaces. The Sobolev nonlocal condition is considered in terms of…
math.OC2014★ 81 cited
Approximate Controllability of Fractional Delay Dynamic Inclusions with Nonlocal Control Conditions
Amar Debbouche, Delfim F. M. Torres
We introduce a nonlocal control condition and the notion of approximate controllability for fractional order quasilinear control inclusions. Approximate controllability of a fracti…