Solution of a system of generalized Abel integral equations using fractional calculus

DOI10.1016/0893-9659(96)00063-8zbMath0902.45004OpenAlexW2058808921MaRDI QIDQ1392818

Birendranath Mandel, Nanigopal Mandal, Aloknath Chakrabarti

Publication date: 3 December 1998

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(96)00063-8

zbMATH Keywords

elasticitymixed boundary value problemsclosed form solutionfractional integral operatorssystem of generalized Abel integral equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Classical linear elasticity (74B05) Fractional derivatives and integrals (26A33)

Related Items (6)

Unnamed Item ⋮ An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics ⋮ Application of the Fractional Differential Transform Method to the First Kind Abel Integral Equation ⋮ Unnamed Item ⋮ An efficient solution of system of generalized Abel integral equations using Bernstein polynomials wavelet bases ⋮ Unnamed Item

Cites Work

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• Unnamed Item
• A formula for the solution of general Abel integral equation
• Systems of Generalized Abel Equations
• Systems of Generalized Abel Integral Equations with Applications to Simultaneous Dual Relations
• Finitely-generated solutions of certain integral equations

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