Volume 17, Issue 1 (4-2022)                   IJMSI 2022, 17(1): 85-97 | Back to browse issues page

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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
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.
Type of Study: Research paper | Subject: General

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