Generalized Φ-dichotomous linear part for a class of generalized differential equations

Document Type

Article

Publication Date

1-1-2018

Abstract

A dichotomy: ordinary or exponential, is a category of conditional stability. In this disquisition, we deal with nonlinear fractional differential equations (NFDE) involving generalized Φ-exponential and Φ-ordinary dichotomous (in the sense of fractional calculus) linear part in a Banach space. By employing of the Banach fixed point principle, the satisfactory conditions are located for the existence of Φ-bounded outcomes of these equations in the real case.

Keywords

Fractional calculus, Fractional differential equations, Fractional operator

Divisions

MathematicalSciences

Publication Title

Annals of the University of Craiova, Mathematics and Computer Science Series

Volume

45

Issue

1

Publisher

University of Craiova

This document is currently not available here.

Share

COinS