Existence and stability of Langevin equations with two Hilfer-Katugampola fractional derivatives
DOI:
https://doi.org/10.24193/subbmath.2018.3.01Keywords:
Fractional integral operator, fractional calculus, unit disk, analytic function, subordination and superordinationAbstract
In this note, we debate the existence, uniqueness and stability results for
a general class of Langevin equations. We suggest the generalization via the Hilfer- Katugampola fractional derivative. We introduce some conditions for existence and uniqueness of solutions. We utilize the concept of fixed point theorems (Krasnoselskii fixed point theorem (KFPT), Banach contraction principle (BCP)). Moreover, we illustrate definitions of the Ulam type stability. These definitions generalize the fractional
Ulam stability.
Downloads
Additional Files
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Transfer of copyright agreement: When the article is accepted for publication, the authors and the representative of the coauthors, hereby agree to transfer to Studia Universitatis Babeș-Bolyai Mathematica all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the authors specifically retain: the authors can use the material however they want as long as it fits the NC ND terms of the license. The authors have all rights for reuse according to the license.
