On the existence of solutions for first-order nonlinear conformable impulsive dynamic equations on time scales

Svetlin G. Georgiev , Rachid Bahloul , Faiza Shujat

Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (12) : 9118 -9137.

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Electronic Research Archive ›› 2026, Vol. 34 ›› Issue (12) :9118 -9137. DOI: 10.3934/era.2026384
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On the existence of solutions for first-order nonlinear conformable impulsive dynamic equations on time scales
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Abstract

Using a fixed point theorem due to Krasnosel’skii, we showed that the first-order nonlinear conformable impulsive dynamic equations on time scales (3.1) has a solution. Using the idea of contraction, we demonstrated that the solution is unique under a somewhat stricter inequality.

Keywords

conformable derivative / time scales / impulsive dynamic equations

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Svetlin G. Georgiev, Rachid Bahloul, Faiza Shujat. On the existence of solutions for first-order nonlinear conformable impulsive dynamic equations on time scales. Electronic Research Archive, 2026, 34 (12) : 9118-9137 DOI:10.3934/era.2026384

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