Fractional order differential inclusions on an unbounded domain with infinite delay

On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay

An Abstract Cauchy Problem for Higher Order Functional Differential Inclusions with Infinite Delay

The existence results for an abstract Cauchy problem involving a higher order differential inclusion with infinite delay in a Banach space are obtained. We use the concept of the existence family to express the mild solutions and impose the suitable conditions on the nonlinearity via the measure of noncompactness in order to apply the theory of condensing multimaps for the demonstration of our ...

Existence and uniqueness of solution for class of fractional order differential equations on an unbounded domain

Correspondence: [email protected]. ir Department of Mathematics, Faculty of Basic Science, Babol University of Technology, Babol 47148-71167, Iran Abstract In this article, we established the existence and uniqueness of the solution for a generalized class of fractional order differential equations involving the RiemannLiouville differential operator on unbounded domain [0, +∞). The contraction ...

Computational Method for Fractional-Order Stochastic Delay Differential Equations

Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...

Controllability of Nonlinear Third-order Dispersion Inclusions with Infinite Delay

This article shows the controllability of nonlinear third-order dispersion inclusions with infinite delay. Sufficient conditions are obtained by using a fixed-point theorem for multivalued maps. Particularly, the compactness of the operator semigroups is not assumed in this article.