Boundary-domain integral equations (BDIEs) have emerged as a robust framework for the reformulation and solution of boundary value problems (BVPs) in complex settings. By incorporating integrals over ...

Fourier series solutions are obtained for mixed boundary value problems for the Laplace equation in the plane and in the sphere. The nature of the boundary conditions presents difficulties in ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

The focus of this study is on boundary-value issues for Caputo-type fractional differential equations of order 1 < q < 2. To begin, we demonstrate the existence theorem of mild solutions under certain ...