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Abstract
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In this paper, we will make the spectral problem for the given initial-boundary value by Laplace
transformation. The resulted spectral problem will be in form of boundary value problem which
consist of generalized Cauchy-Riemann equations with parameter . This problem and BVP are
reduced to system of second kind regularized Fredholm integral equations by a special technique
which is related to authors [9, 10, 11]. Therefore the main goal of this paper is construction
of related Spectral problem. At rst we provide the adjoint problem of Spectral and then we
calculate the fundamental solution of adjoint problem. Finally, we identiy the singularities in
integrals and obtaining necessary conditions which are used to reduce to the second kind regu-
larized integral equations as same as in [8].
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