On the solvability of initial problems for abstract singular equations containing fractional derivatives

DOI10.1007/978-3-031-28505-9_2MaRDI QIDQ6615654

Alexander Glushak

Publication date: 8 October 2024

zbMATH Keywords

fractional derivativesCauchy problemtransformation operatorabstract singular equations

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Fractional partial differential equations (35R11)

Cites Work

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• Criterion for the solvability of the Cauchy problem for an abstract Euler-Poisson-Darboux equation
• Linear integro-differential equations in Banach spaces
• The Bessel operator function
• Abstract Cauchy problem for the Bessel-Struve equation
• Fractional evolution equations in Banach spaces
• The G and H Functions as Symmetrical Fourier Kernels
• Transmutation Operators as a Solvability Concept of Abstract Singular Equations
• The asymptotic expansion of the generalized hypergeometric function.

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