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1
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
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Existence and attractivity for fractional order integral equations in Fréchet spaces

100%
Abbas S., Benchohra M.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2013
|
tom 33
|
nr 1
47-63
EN
In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Riemann-Liouville fractional order, by using an extension of the Burton-Kirk fixed point theorem in the case of a Fréchet space.
2
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The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses

100%
Abbas S., Benchohra M.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2010
|
tom 30
|
nr 1
141-161
EN
In this paper we use the upper and lower solutions method to investigate the existence of solutions of a class of impulsive partial hyperbolic differential inclusions at fixed moments of impulse involving the Caputo fractional derivative. These results are obtained upon suitable fixed point theorems.
3
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Fractional order impulsive partial hyperbolic differential inclusions with variable times

81%
Abbas S., Benchohra M., Górniewicz L.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2011
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tom 31
|
nr 1
91-114
EN
This paper deals with the existence of solutions to some classes of partial impulsive hyperbolic differential inclusions with variable times involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray-Schauder type.
4
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Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses

81%
Abbas S., Benchohra M., Abdalla Darwish M.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2016
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tom 36
|
nr 2
155-179
EN
In this paper, we use the upper and lower solutions method combined with a fixed point theorem for multivalued maps in Banach algebras due to Dhage for investigations of the existence of solutions of a class of discontinuous partial differential inclusions with not instantaneous impulses. Also, we study the existence of extremal solutions under Lipschitz, Carath´eodory and certain monotonicity conditions
5
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Upper and lower solutions method for partial Hadamard fractional integral equations and inclusions

81%
Abbas S., Alaidarous E., Albarakati W., Benchohra M.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2015
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tom 35
|
nr 2
105-122
EN
In this paper we use the upper and lower solutions method combined with Schauder's fixed point theorem and a fixed point theorem for condensing multivalued maps due to Martelli to investigate the existence of solutions for some classes of partial Hadamard fractional integral equations and inclusions.
6
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New existence and stability results for partial fractional differential inclusions with multiple delay

71%
Abbas S., Albarakati W., Benchohra M., Darwish M., Hilal E.
Annales Polonici Mathematici
|
2015
|
tom 114
|
nr 1
81-100
EN
We discuss the existence of solutions and Ulam's type stability concepts for a class of partial functional fractional differential inclusions with noninstantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is provided to illustrate our results.
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