Set-valued fractional order differential equations in the space of summable functions
Hussein A.H. Salem
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 28 (2008), p. 83-93 / Harvested from The Polish Digital Mathematics Library
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In this paper, we study the existence of integrable solutions for the set-valued differential equation of fractional type (Dαₙ-∑i=1n-1aiDαi)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.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:271184 
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Hussein A.H. Salem. Set-valued fractional order differential equations in the space of summable functions. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 28 (2008) pp. 83-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1096/

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