Hyers–Ulam–Rassias stability of impulsive Volterra integral equation via a fixed point approach

Subject Areas : Functional analysis

R. Shah ¹ , A. Zada ²

1 - Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
2 - Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan

Received: 2019-01-11 Accepted : 2019-03-14 Published : 2019-12-01

Keywords: fixed point method, impulsive Volterra integral equation, Lipschitz condition, Ulam&ndash, Hyers stability,

Abstract :

‎In this paper‎, ‎we establish the Hyers--Ulam--Rassias stability and the Hyers--Ulam stability of impulsive Volterra integral equation by using a fixed point method‎.

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