The study of boundary value problems and optimal control in fluid dynamics constitutes a vital area in applied mathematics and engineering. These techniques form the foundation for formulating and ...

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 ...

The present paper is devoted to discussing a class of nonlinear Caputo-type fractional differential equations with two-point type boundary value conditions. We investigate the existence and uniqueness ...

The operator L is elliptic and of second order in a domain Ω in RN. We consider the following boundary value problem: Lu = f in Ω and Bu = 0 on ∂ Ω, where B= ad/dn + β(d/dn is the conormal derivative ...