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1
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
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Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions

100%
Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2013
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tom 33
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nr 1
17-39
EN
This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.
2
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A study of second order differential inclusions with four-point integral boundary conditions

64%
Ahmad B., Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2011
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tom 31
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nr 2
137-156
EN
In this paper, we discuss the existence of solutions for a four-point integral boundary value problem of second order differential inclusions involving convex and non-convex multivalued maps. The existence results are obtained by applying the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
3
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Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions

64%
Ahmad B., Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2012
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tom 32
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nr 1
45-62
EN
This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.
4
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An existence theorem for an hyperbolic differential inclusion in Banach spaces

64%
Benchohra M., Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2002
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tom 22
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nr 1
5-16
EN
In this paper, we investigate the existence of solutions on unbounded domain to a hyperbolic differential inclusion in Banach spaces. We shall rely on a fixed point theorem due to Ma which is an extension to multivalued between locally convex topological spaces of Schaefer's theorem.
5
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An existence theorem for fractional hybrid differential inclusions of Hadamard type

64%
Ahmad B., Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2014
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tom 34
|
nr 2
207-218
EN
This paper studies the existence of solutions for fractional hybrid differential inclusions of Hadamard type by using a fixed point theorem due to Dhage. The main result is illustrated with the aid of an example.
6
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Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces

51%
Benchohra M., Górniewicz L., Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2001
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tom 21
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nr 2
261-282
EN
In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
7
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Existence results for q-difference inclusions with three-point boundary conditions involving different numbers of q

51%
Ntouyas S., Sitthiwirattham T., Tariboon J.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2014
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tom 34
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nr 1
41-59
EN
In this paper, we study a new class of three-point boundary value problems of nonlinear second-order q-difference inclusions. Our problems contain different numbers of q in derivatives and integrals. By using fixed point theorems, some new existence results are obtained in the cases when the right-hand side has convex as well as noncovex values.
8
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Hybrid fractional integro-differential inclusions

51%
Ntouyas S., Laoprasittichok S., Tariboon J.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2015
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tom 35
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nr 2
151-164
EN
In this paper we study an existence result for initial value problems for hybrid fractional integro-differential inclusions. A hybrid fixed point theorem for a sum of three operators due to Dhage is used. An example illustrating the obtained result is also presented.
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