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1
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
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Existence results for q-difference inclusions with three-point boundary conditions involving different numbers of q

100%
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.
2
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Hybrid fractional integro-differential inclusions

100%
Ntouyas S., Laoprasittichok S., Tariboon J.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2015
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tom 35
|
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.
3
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A study of second order differential inclusions with four-point integral boundary conditions

88%
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.
4
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Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions

88%
Ahmad B., Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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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.
5
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Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions

88%
Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2013
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tom 33
|
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.
6
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Abstract version of the Cauchy-Kowalewski problem

88%
Zubelevich O.
Open Mathematics
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2004
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tom 2
|
nr 3
382-387
EN
We consider an abstract version of the Cauchy-Kowalewski Problem with the right hand side being free from the Lipschitz type conditions and prove the existence theorem.
7
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System of fractional differential equations with Erdélyi-Kober fractional integral conditions

75%
Thongsalee N., Laoprasittichok S., Ntouyas S. K., Tariboon J.
Open Mathematics
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2015
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tom 13
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nr 1
EN
In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.
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