Dynamics and Ulam Stability for Fractionalq-Difference Inclusions via Picard Operators Theory

Abstract

In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.

On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives

“…Here, we point out the most famous kinds including Riemann-Liouville, Liouville-Caputo, generalized Caputo [17], and Hadamard derivatives [18]. This has lead researchers to numerous research papers concerning several fractional operators which were conducted that one can see, for example, in complex plain [19,20], extended Riemann-Liouville [21], the Mittag-Leer type function [22], the q-derivative [23], the local fractional derivative [24], and in stability result [25][26][27].…”