Autor: Ezzinbi, Khalil - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay
Autorzy:: Benchohra, Mouffak
Bennihi, Omar
Ezzinbi, Khalil
Powiązania:: https://bibliotekanauki.pl/articles/746657.pdf
Data publikacji:: 2013
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: semilinear functional differential equation, mild solution, resolvent family, fixed point, state-dependent delay, contractive map, Frechet space
Opis:: In this paper we provide sufficient conditions for the existence and uniqueness of mild solutions for a class of semilinear functional differential equations of fractional order with state-dependent delay. The nonlinear alternative of Frigon-Granas type for contractions maps in Frechet spaces combined with \(\alpha\)-resolvent family is the main tool in our analysis.
Źródło:: Commentationes Mathematicae; 2013, 53, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Fractional integro-differential inclusions with state-dependent delay
Autorzy:: Aissani, Khalida
Benchohra, Mouffak
Ezzinbi, Khalil
Powiązania:: https://bibliotekanauki.pl/articles/729499.pdf
Data publikacji:: 2014
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: fractional integro-differential inclusions
Caputo fractional derivative
mild solution
multivalued map
Bohnenblust-Karlin's fixed point
state-dependent delay
Opis:: In this paper, we establish sufficient conditions for the existence of mild solutions for fractional integro-differential inclusions with state-dependent delay. The techniques rely on fractional calculus, multivalued mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem. Finally, we present an example to illustrate the theory.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 2; 153-167
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Controllability for some partial functional integrodifferential equations with nonlocal conditions in Banach spaces
Autorzy:: Ezzinbi, Khalil
Degla, Guy
Ndambomve, Patrice
Powiązania:: https://bibliotekanauki.pl/articles/729519.pdf
Data publikacji:: 2015
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: controllability
integrodifferential equations
nonlocal initial condition
resolvent operator
Mönch fixed-point theorem
Opis:: This work concerns the study of the controllability of some partial functional integrodifferential equation with nonlocal initial conditions in Banach spaces. It gives sufficient conditions that ensure the controllability of the system by supposing that its linear homogeneous part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point theorem. As a result, we obtain a generalization of the work of Y.K. Chang, J.J. Nieto and W.S. Li (J. Optim. Theory Appl. 142, 267-273 (2009)), without assuming the compactness of the resolvent operator. An example of application is given for illustration.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2015, 35, 1; 25-46
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

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