Boundary value problems (BVPs) constitute a fundamental class of differential equations where the solutions are determined by prescribing values at the boundaries of the domain. The study of positive ...

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 ...

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 ...