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Set-valued fractional order differential equations in the space of summable functions

100%

Salem H.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2008

tom 28

nr 1

83-93

In this paper, we study the existence of integrable solutions for the set-valued differential equation of fractional type $(D^{αₙ} - ∑_{i=1}^{n-1} a_i D^{α_i})x(t) ∈ F(t,x(φ(t)))$, a.e. on (0,1), $I^{1 - αₙ} x(0) = c$, 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.

Quadratic integral equations in reflexive Banach space

100%

Salem H.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2010

tom 30

nr 1

61-69

This paper is devoted to proving the existence of weak solutions to some quadratic integral equations of fractional type in a reflexive Banach space relative to the weak topology. A special case will be considered.

Ograniczanie wyników

2 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2 Salem H.

1 2010

1 2008

Wyniki wyszukiwania

Set-valued fractional order differential equations in the space of summable functions

Quadratic integral equations in reflexive Banach space