Solutions to fractional Sobolev-type integro-differential equations in Banach spaces with operator pairs and impulsive conditions

DOI10.1215/17358787-2019-0017zbMath1427.34105OpenAlexW2971206132WikidataQ127310778 ScholiaQ127310778MaRDI QIDQ2329246

Yunyi Mu, Jin Liang, Ti-Jun Xiao

Publication date: 17 October 2019

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1570608161

zbMATH Keywords

operator pairsfractional integro-differential equationspropagation familySobolev-type

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37) Implicit functional-differential equations (34K32)

Related Items

Nonlinear fractional differential equation involving two mixed fractional orders with nonlocal boundary conditions and Ulam-Hyers stability ⋮ Impulsive differential equations involving general conformable fractional derivative in Banach spaces ⋮ Optimal Controls for Fractional Backward Nonlocal Evolution Systems ⋮ Nonlocal integro-differential equations of Sobolev type in Banach spaces involving \(\psi\)-Caputo fractional derivative ⋮ Nonlinear boundary value problems for mixed-type fractional equations and Ulam-Hyers stability

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