Boundary value problems for fractional-order differential inclusions in Banach spaces with nondensely defined operators

Boundary Value Problems for Fractional Differential Inclusions in Banach Spaces

This paper is concerned with the existence of solutions of nonlinear fractional differential inclusions with boundary conditions in a Banach space. The main result is obtained by using the set-valued analog of Mönch fixed point theorem combined with the Kuratowski measure of noncompactness. Mathematics subject classification (2010): 26A33, 34A60, 34B15.

Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions

Boundary value problems for linear operators in ordered Banach spaces

We study boundary value problems of the type Ax = r, φ(x) = φ(b) (φ ∈ M ⊆ E∗) in ordered Banach spaces. MSC classification (2000): 47A50, 47B60

On Boundary Value Problems for Degenerate Differential Inclusions in Banach Spaces

We consider the applications of the theory of condensing set-valued maps, the theory of set-valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space. Further, these techniques are used to obtain the solvability of general boundary value problems for a given class of inclusions. Som...

Existence Results for First Order Boundary Value Problems for Fractional Differential Equations and Inclusions with Fractional Integral Boundary Conditions

This paper studies a new class of boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence and uniqueness results are obtained by using standard fixed point theorems. Some illustrative examples are also discussed.