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 ...

Monge-Ampère equations form a pivotal class of fully nonlinear partial differential equations that have deep roots in differential geometry, optimisation and mass transport theories. Their study, ...

This article discusses on topics about the integral boundary value problems with impulsive conditions. Using a generalized contraction, the existence of solutions of an initial boundary value problem ...

Drichlet conditions specify the values of the dependent variables of the boundary points. Neumann conditions specify the values of the normal gradients of the boundary. Robin conditions defines a ...

This paper investigates the existence of solutions for nonlinear fractional differential equations with integral boundary conditions on an unbounded domain. An example illustrating how the theory can ...