Tensor product and inverse fractional abstract Cauchy problem

DOI10.1007/S12215-022-00769-0zbMath1520.34008OpenAlexW4291002056WikidataQ114221071 ScholiaQ114221071MaRDI QIDQ6161918

Roshdi Khalil, F. Seddiki, M. Al Horani

Publication date: 28 June 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00769-0

zbMATH Keywords

tensor product of Banach spacesatom functionfinite rank function

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10) Tensor products of linear operators (47A80) Fractional ordinary differential equations (34A08)

Cites Work

• New properties of conformable derivative
• On conformable fractional calculus
• Fractional Newton mechanics with conformable fractional derivative
• Approximation theory in tensor product spaces
• A new definition of fractional derivative
• Conformable Laplace transform of fractional differential equations
• Best approximation in L(X, Y)
• Total fractional differentials with applications to exact fractional differential equations
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