Stability analysis for a class of implicit fractional differential equations with instantaneous impulses and Riemann-Liouville boundary conditions

Akbar Zada, Beenesh Dayyan


In this article some conditions are established for the existence and uniqueness regarding our proposed model, Implicit fractional differential equation with instantaneous impulses and Riemann-Liouville fractional integral boundary condition in view of Schafer's fixed point theorem.  The paper also discusses different types of Ulam's stability, i.e. Ulam-Hyers-stability, generalized Ulam-Hyers-stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for the proposed model. An example is given to illustrate our main result.

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