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Ulam’s stability of multi-point implicit boundary value problems with non-instantaneous impulses

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Abstract

In this paper, the existence results of the solutions and stability are focused for impulsive implicit sequential fractional differential equation with multi-points boundary conditions. In view of the definitions of Caputo fractional order, the existence, uniqueness, and at least one solution of the aforesaid equation are presented. Beside this, Ulam’s type stabilities are discussed. To support our main results, we present some examples.

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  1. Department of Mathematics, University of Peshawar, Peshawar, Khyber Pakhtunkhwa, Pakistan

    Akbar Zada, Nasir Ali & Usman Riaz

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  1. Akbar Zada
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  2. Nasir Ali
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  3. Usman Riaz
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Correspondence to Akbar Zada.

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Zada, A., Ali, N. & Riaz, U. Ulam’s stability of multi-point implicit boundary value problems with non-instantaneous impulses. Boll Unione Mat Ital 13, 305–328 (2020). https://doi.org/10.1007/s40574-020-00219-8

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