In this paper, we investigate the existence of solutions for boundary value problems nonlinear impulsive conformable fractional differential equations with delay. By establishing associate Green's function and a comparison result linear problem, obtain that lower upper converge to extremal via monotone iterative technique. An example is also presented in last section.

We have developed a guided ptychography iterative engine (gPIE) algorithm that applies the concept of optimization to conventional ePIE (extended engine) approach. Instead accessing random or spiral trajectory among collected diffraction patterns implement phase-retrieval, gPIE guides searching direction through local minimum and minimizes cost function, which is difference between calculated i...

A highly parallelizable domain decomposition solution technique for adaptive hp finite element methods is developed. The technique uses good partitioning strategies and a subspace decomposition based preconditioned iterative solver, Two level orthogonalization is used to obtain a reduced system which is preconditioned by a coarse grid operator. Numerical results show fast cOIl\'ergence for the ...