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Quadruple integral equations and operators of fractional integration

Published online by Cambridge University Press:  18 May 2009

M. Iftikhar Ahmad
M. Iftikhar Ahmad
Affiliation:
Department of Mathematics, University of the Punjab (New Campus), Lahore, Punjab, Pakistan
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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 equations

where 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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 12 , Issue 1 , April 1971 , pp. 60 - 64
Copyright
Copyright © Glasgow Mathematical Journal Trust 1971

References

REFERENCES

1.Cooke, J. C., The solution of triple integral equations in operational form, Quart. J. Mech. Appl. Math. 18 (1965), 57–72.CrossRefGoogle Scholar
2.Erdélyi, A. and Sneddon, I. N., Fractional integration and dual integral equations, Canad. J. Math. 14 (1962), 685–693.CrossRefGoogle Scholar
3.Kober, H., On fractional integrals and derivatives, Quart. J. Math. (1), 11 (1940), 193–211.CrossRefGoogle Scholar
4.Sneddon, I. N., Mixed boundary value problems in potential theory (North-Holland Publishing Company, Amsterdam, 1966).Google Scholar