Electromagnetic integral equations offer a powerful framework for modelling wave propagation and scattering phenomena by recasting Maxwell’s equations into formulations involving integrals over ...

Fuzzy Fredholm integral equations represent a class of mathematical problems in which uncertainty is incorporated directly into the model via fuzzy numbers. These equations extend the classical ...

For the integral equation $\mathrm{u}\left(\mathrm{x}\right)={\int }_{0}^{1}\mathrm{K}(\mathrm{x},\mathrm{y})\times \mathrm{u}\left(\mathrm{y}\right)\mathrm{d}\mathrm ...

SIAM Journal on Applied Mathematics, Vol. 73, No. 5 (2013), pp. 1811-1829 (19 pages) This paper is concerned with the direct and inverse acoustic or electromagnetic scattering problems by a locally ...

Integral equations in various scientific theories and their relation to differential equations. Methods of solving linear problems with Hilbert Schmidt, Cauchy, and Wiener-Hopf type kernels; ...