On non‐instantaneous impulsive fractional differential equations and their equivalent integral equations

DOI10.1002/mma.7669zbMath1485.34035OpenAlexW3186248636MaRDI QIDQ5015638

Akbar Zada, Arran Fernandez, Sartaj Ali

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7669

zbMATH Keywords

fractional differential equationsVolterra integral equationsimpulsive differential equationsfractional integralsnon-instantaneous impulsesCaputo fractional derivative

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08)

Related Items (4)

Solving Prabhakar differential equations using Mikusiński's operational calculus ⋮ Cauchy problem for impulsive fractional differential equations with almost sectorial operators ⋮ Stability of non-instantaneous impulsive systems in Hilbert spaces ⋮ Approximate controllability of impulsive fractional evolution equations of order 1<α<2$$ 1&amp;amp;amp;lt;\alpha &amp;amp;amp;lt;2 $$ with state‐dependent delay in Banach spaces

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