Babenko's approach to Abel's integral equations

DOI10.3390/MATH6030032zbMath1394.45005OpenAlexW2793165349MaRDI QIDQ1649097

Kyle Clarkson, Chen Kuan Li

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6030032

zbMATH Keywords

Laplace transformgamma functionMittag-Leffler functionfractional calculusseries convergence

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (8)

On the nonlinear Hadamard-type integro-differential equation ⋮ Several results of fractional differential and integral equations in distribution ⋮ Editorial. Operators of fractional calculus and their applications ⋮ Uniqueness of the Hadamard-type integral equations ⋮ Solutions to Abel's integral equations in distributions ⋮ The fractional Green's function by Babenko's approach ⋮ Remarks on the linear fractional integro-differential equation with variable coefficients in distribution ⋮ The generalized Abel's integral equations on R^n with variable coefficients

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