1 STATEMENT OF THE PROBLEM Our goal is to introduce how derivatives can be approximated by using difference quotients. Suppose we have an interval [a,b] ⊂ R. Let a = x0 < x1 < ·· · < xN−1 < xN = b be a partition. We call {x1, . . . , xN−1} the interior points, and {x0, xN } the boundary. Given a function f : [a,b] → R, we want to approximate the derivative f ′ using our partition. 2 DIFFERENCE ...

Abstract An objective of this paper is to investigate the boundary value problem a high-order nonlinear fractional q -difference equation. It was obtain unique iterative solution for by means applying novel fixed-point theorem $\psi -(h,r)$ ψ − ( h , <mm...

itp is an autoimmune blood disorder in which platelet destruction is mediated by anti-platelet antibodies. the mechanisms of anti-platelet antibodies development are still a little known. the rate of some bacterial or viral agents in cause of itp is well known. recently, some study proposed that h pylori infection may be associated with itp and h pylori eradication can improves platelet counts ...