Existence of mild solutions for fractional non-instantaneous impulsive integro-differential equations with nonlocal conditions

DOI10.1016/J.AJMSC.2018.11.002zbMath1488.34405OpenAlexW2903506616MaRDI QIDQ5009820

Arshi Meraj, Dwijendra Narain Pandey

Publication date: 6 August 2021

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2018.11.002

zbMATH Keywords

measure of noncompactnessfixed point theoremfractional differential equationsnonlocal conditionsnoncompact semigroup

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37)

Related Items (4)

On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses ⋮ Extremal mild solutions to Hilfer evolution equations with non-instantaneous impulses and nonlocal conditions ⋮ Study on Sobolev type Hilfer evolution equations with non-instantaneous impulses ⋮ The method of lower and upper solution for Hilfer evolution equations with non-instantaneous impulses

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