Fractional Differential Inclusions of Hilfer and Hadamard Types in Banach Spaces
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2017, Vol 37, Issue 2
Abstract
We deal in this paper with some existence results in Banach spaces for some Hilfer and Hadamard differential inclusions of fractional order. The Mönch's fixed point theorem and the concept of measure of noncompactness are the main tools used to carry out our results.
Authors and Affiliations
Saïd Abbas, Mouffak Benchohra, Mohamed Abdalla Darwish
Keywords
Related Articles
- EP ID EP481638
- DOI 10.7151/dmdico.1195
- Views 46
- Downloads 0
Topological properties of some spaces of continuous operators
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study topological properties of...
Spaces of Lipschitz functions on metric spaces
In this paper the universal properties of spaces of Lipschitz functions, defined over metric spaces, are investigated.
Multivalued anisotropic problem with Neumann boundary condition involving diffuse Radon measure data and variable exponent
We study a nonlinear anisotropic elliptic problem with homogeneous Neumann boundary condition governed by a general anisotropic operator with variable exponents and diffuse Radon measure data that is the Radon measure wh...
Boundedness of set-valued stochastic integrals
The paper deals with integrable boundedness of Itô set-valued stochastic integrals defined by E.J. Jung and J.H. Kim in the paper [4], where has not been proved that this integral is integrable bounded. The problem of in...
Optimal Control of General McKean-Vlasov Stochastic Evolution Equations on Hilbert Spaces and Necessary Conditions of Optimality
In this paper we consider controlled McKean-Vlasov stochastic evolution equations on Hilbert spaces. We prove existence and uniqueness of solutions and regularity properties thereof. We use relaxed controls, adapted to a...