Numerical approach to the controllability of fractional order impulsive differential equations

DOI10.1515/DEMA-2020-0015zbMath1455.34065OpenAlexW3088263709WikidataQ115236535 ScholiaQ115236535MaRDI QIDQ2210622

Dimplekumar N. Chalishajar, Avadhesh Kumar, Ramesh Kumar Vats, Ankit Kumar

Publication date: 7 November 2020

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2020-0015

zbMATH Keywords

non-instantaneous impulsesfractional differential equationMittag-Leffler matrix functiontotal controllability

Mathematics Subject Classification ID

Controllability (93B05) Ordinary differential equations with impulses (34A37) Control problems involving ordinary differential equations (34H05) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Fractional ordinary differential equations (34A08)

Related Items (5)

Controllability of Hilfer fractional integro-differential equations of Sobolev-type with a nonlocal condition in a Banach space ⋮ Existence, stability and controllability of piecewise impulsive dynamic systems on arbitrary time domain ⋮ Results on approximate controllability of fractional stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1 < r < 2 ⋮ Approximate controllability of delay nonautonomous integro‐differential system with impulses ⋮ Approximate controllability of neutral delay integro-differential inclusion of order \(\alpha\in (1, 2)\) with non-instantaneous impulses

Uses Software

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