Geodesic
Quadruple integral equations and operators of fractional integration
Glasgow mathematical journal, Tome 12 (1971) no. 1, pp. 60-64

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Cooke [1] modified a technique used by Erdelyi and Sneddon [2] to solve triple integral equations of a certain type. In this paper, we extend this method to solve the quadruple integral equationswhere F1, G2, F3 and G4 are prescribed functions of p and ψ(ξ) is to be determined. With no loss of generality we shall assume that G2(p)≡0, G4(p)≡0. 
Ahmad, M. Iftikhar. Quadruple integral equations and operators of fractional integration. Glasgow mathematical journal, Tome 12 (1971) no. 1, pp. 60-64. doi: 10.1017/S0017089500001154
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[1] 1.Cooke, J. C., The solution of triple integral equations in operational form, Quart. J. Mech. Appl. Math. 18 (1965), 57–72. Google Scholar | DOI

[2] 2.Erdélyi, A. and Sneddon, I. N., Fractional integration and dual integral equations, Canad. J. Math. 14 (1962), 685–693. Google Scholar | DOI

[3] 3.Kober, H., On fractional integrals and derivatives, Quart. J. Math. (1), 11 (1940), 193–211. Google Scholar | DOI

[4] 4.Sneddon, I. N., Mixed boundary value problems in potential theory (North-Holland Publishing Company, Amsterdam, 1966). Google Scholar

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