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Our goal In this paper is to establish sufficient conditions for the existence of mild solution of some class of semilinear fractional differential inclusions of order 0 < α ≥ 1 with state dependent delay in separable Banach space. The existence result is established when the multivalued function has convex values. The result is obtained via the nonlinear alternative of Leray-Schauder type. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new concept of mild solution of some class of semilinear fractional differential inclusions of order 0 < α < 1. Also we establish an existence result when the multivalued function has convex values. The result is obtained upon the nonlinear alternative of Leray-Schauder type. [ABSTRACT FROM AUTHOR]

In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, we shall establish sufficient conditions for the existence of integral solutions and extremal integral solutions for some nondensely defined impulsive semilinear functional differential inclusions in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators. The question of controllability of these equations and the topological structure of the solutions set are considered too. [Copyright &y& Elsevier]