Temat: Mönch fixed-point theorem - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence results of ψ-Hilfer integro-differential equations with fractional order in Banach space
Autorzy:: Almalahi, Mohammed A.
Panchal, Satish K.
Powiązania:: https://bibliotekanauki.pl/articles/1797178.pdf
Data publikacji:: 2020-07-20
Wydawca:: Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:: ψ-Hilfer fractional derivative
Mönch fixed point theorem
Eα-Ulam-Hyers stability
δ-approximate solution
Opis:: In this article we present the existence and uniqueness results for fractional integro-differential equations with ψ-Hilfer fractional derivative. The reasoning is mainly based upon different types of classical fixed point theory such as the Mönch fixed point theorem and the Banach fixed point theorem. Furthermore, we discuss $E_{α}$-Ulam-Hyers stability of the presented problem. Also, we use the generalized Gronwall inequality with singularity to establish continuous dependence and uniqueness of the δ-approximate solution.
Źródło:: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 171-192
2300-133X
Pojawia się w:: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

Informacja