Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...
This rapidly evolving field extends classical discrete calculus by introducing non-integer, or fractional, orders of difference operators. Such an approach is particularly well suited to modelling ...
The authors study time-harmonic Maxwell's equations in the junction of two rectangular waveguides. They prove existence and uniqueness of the solution, except for a discrete set of values of the ...
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