On the Ulam’s Types Stability Results of Non–Linear Volterra Fredholm Integro–Delay Dynamic System on Time Scale
2021
This manuscript presents Hyers--Ulam, Hyers--Ulam--Rassias, Bielecki--Hyers--Ulam and Bielecki--Hyers--Ulam--Rassias stability results of non--linear Volterra Fredholm integro--delay dynamic system on time scale. Picard fixed point theorem is used for obtaining existence and uniqueness of solutions. By means of Gr\"{o}nwall's inequality on time scale, we establish the stability results. There are some primary lemmas, inequalities and relevant assumptions that helps in our stability results.
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