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On the integral boundary value problems, we refer to [26 30].
For more knowledge about the boundary value problems, we refer the reader to [11] [28].
For boundary value problems, we mention the monographs by Azbelev et al. [12] and Azbelev and Rakhmatullina [13].
(1.13) For other work on Lyapunov-type inequalities for fractional boundary value problems we refer the reader to [12 14].
For detailed discussions of this condition for boundary value problems, we refer to [18], Section 6.2 and [19], Chapter 11.
For the theoretical background of singular boundary value problems, we refer the reader to the references [16, 17].
Similar(29)
By applying the Fourier transform to the governing boundary value problem, we formulate analytic expressions for the stresses and displacements induced by the application of line forces acting both normally and tangentially at the origin.
Now, proceeding as in the proof of the initial boundary value problem, we get (23).
In order to solve the initial boundary value problem we will use the Laplace transform technique.
If we write the complex conjugate of this boundary value problem, we obtain the following boundary value problem: (24).
To establish the existence of a solution for the boundary value problem, we need to make the following assumptions.
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