in this article, we investigate sufficient conditions for existence of maximal and minimalsolutions to a coupled system of highly nonlinear differential equations of fractional order with mixedtype boundary conditions. to achieve this goal, we apply monotone iterative technique togetherwith the method of upper and lower solutions. also an error estimation is given to check theaccuracy of the me...

We estimate the spectral gap of the two-dimensional stochastic Ising model for four classes of mixed boundary conditions. On a finite square, in the absence of an external field, two-sided estimates on the spectral gap for the first class of weak positive boundary conditions are given. Further, at inverse temperatures β > βc, we will show lower bounds of the spectral gap of the Ising model for ...

We have developed a Java-based boundary element program front end, the Electronic Handbook of Fracture (e-Handbook), for fracture analysis of multiple curvilinear cracks in the two-dimensional general anisotropic solids. The e-Handbook provides a graphic user interface for the preparation of the input files, runs a Fortran program for the mixed-mode fracture analysis and displays the stress int...

   The present article describes the effects of thermal radiation and heat source/sink parameters on the mixed convective magnetohydrodynamic flow of a Casson nanofluid with zero normal flux of nanoparticles over an exponentially stretching sheet along with convective boundary condition. The governing nonlinear system of partial differential equations along with boundary conditions...