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Controllability results for nondensely defined impulsive fractional-order functional semilinear differential inclusions in abstract space
(American Institute of Physics, 2019) Boudjerida, Assia; Seba, Djamila; Laoubi, Karima
In this work, we prove the controllability result of integral solutions defined on a real compact interval for a class of impulsive functional differential inclusions with fractional order and nonlocal conditions, in the case when the linear part is a non-densely defined operator and satisfies the Hille-Yosida condition. The main tool is an appropriate fixed point theorem, integrated semigroup, and the known facts about fractional calculus
On cauchy problems with caputo hadamard fractional derivatives
(Kluwer Academic Publishers-Plenum Publishers, 2016) Adjabi, Yassine; Jarad, F.; Baleanu, D.; Abdeljawad, Thabet
Multiple positive solutions for singular BVPs on the positive half-line
(Elsevier, 2008) Djebali, Smaïl; Mebarki, Karima