دوره 17، شماره 1 - ( 1-1401 )
جلد 17 شماره 1 صفحات 97-85 |
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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-fa.html
URL: http://ijmsi.ir/article-1-1335-fa.html
Hyers-Ulam Stability of Non-Linear Volterra Integro-Delay Dynamic System with Fractional Integrable Impulses on
Time Scales. مجله علوم ریاضی و انفورماتیک. 1401; 17 (1) :85-97
چکیده:
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.
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