Application of the Fractional Differential Transform Method to the First Kind Abel Integral Equation

DOI10.1007/978-981-13-0023-3_24zbMath1455.45001OpenAlexW2797761446MaRDI QIDQ5114877

Subhabrata Mondal, Birendranath Mandel

Publication date: 29 June 2020

Published in: Communications in Computer and Information Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-13-0023-3_24

zbMATH Keywords

Abel integral equationdifferential transform methodfractional differential transform method

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Mechanical quadrature methods and their extrapolation for solving first kind Abel integral equations
• Water-wave scattering by two submerged plane vertical barriers---Abel integral-equation approach
• Solution of a system of generalized Abel integral equations using fractional calculus
• Analytical solution of Abel integral equation arising in astrophysics via Laplace transform
• Numerical solution of Abel's integral equation by using Legendre wavelets
• Differential transform method for solving Volterra integral equation with separable kernels
• Solution of fractional differential equations by using differential transform method

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