A reliable treatment of Abel's second kind singular integral equations

DOI10.1016/j.aml.2012.01.034zbMath1253.65202OpenAlexW2071312568MaRDI QIDQ712580

Majid Khan, Muhammad Asif Gondal

Publication date: 17 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2012.01.034

zbMATH Keywords

Abel's second kind singular integral equationsLaplace decomposition algorithmtwo-step Laplace decomposition algorithm

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace transform (44A10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (15)

Analysis of a fractional epidemic model by fractional generalised homotopy analysis method using modified Riemann-Liouville derivative ⋮ New iterative method based on Laplace decomposition algorithm ⋮ Approximate solutions of the generalized Abel's integral equations using the extension Khan's homotopy analysis transformation method ⋮ Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for Abel Volterra integral equation of the second kind ⋮ An efficient numerical method for solving Abel integral equation ⋮ Numerical solution of higher order boundary value problems ⋮ A new operational method to solve Abel's and generalized Abel's integral equations ⋮ A new efficient method for solving two-dimensional nonlinear system of Burger's differential equations ⋮ A novel fractional Laplace decomposition method for chaotic systems and the generation of chaotic sequences ⋮ Solving Abel's type integral equation with Mikusinski's operator of fractional order ⋮ On Bernstein polynomials method to the system of Abel integral equations ⋮ Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay ⋮ A new algorithm for higher order integro-differential equations ⋮ Analytical solution of Abel integral equation arising in astrophysics via Laplace transform ⋮ Operational solution of fractional differential equations

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