Total controllability results for impulsive fractional integro-differential systems of order 1<ρ≤2

Rajesh Dhayal and Avadhesh Kumar

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 239, issue C, 442-457

Abstract: The main objective of the paper is to examine a new class of fractional integro-differential systems of order 1<ρ≤2 with impulsive effects. We investigated the existence and stability of piecewise continuous mild solutions by employing the Grönwall’s inequality, Mittag-Leffler matrix function, and fixed point strategy. Further, we examined the total controllability outcomes for the given problem by introducing a new control function and Grammian matrix. Moreover, we derived the trajectory controllability results for considered system. Finally, the analytical outcomes are accredited with two numerical examples.

Keywords: Fractional systems; Stability; Controllability; Grönwall’s inequality; Mittag-Leffler matrix function (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:239:y:2026:i:c:p:442-457

DOI: 10.1016/j.matcom.2025.05.013

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