Volume 17, Issue 1 (4-2022)
IJMSI 2022, 17(1): 85-97 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Shah S O, Zada A. Hyers-Ulam Stability of Non-Linear Volterra Integro-Delay Dynamic System with Fractional Integrable Impulses on
Time Scales. IJMSI 2022; 17 (1) :85-97
URL: http://ijmsi.ir/article-1-1335-en.html
URL: http://ijmsi.ir/article-1-1335-en.html
Abstract:
This manuscript presents Hyers-Ulam stability and Hyers--Ulam--Rassias stability results of non-linear Volterra integro--delay dynamic system on time scales with fractional integrable impulses. Picard fixed point theorem is used for obtaining existence and uniqueness of solutions. By means of abstract Gr"{o}nwall lemma, Gr"{o}nwall's inequality on time scales, we establish Hyers-Ulam stability and Hyers-Ulam-Rassias stability results. There are some primary lemmas, inequalities and relevant assumptions that helps in our stability results.
Keywords: Hyers-Ulam stability, Time scale, Impulses, Delay dynamic system, Gr"{o}nwall's inequality, Abstract Gr"{o}nwall lemma, Banach fixed point theorem.
Type of Study: Research paper |
Subject:
General
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
