Thesis

Thesis

Functions approximation using G-spline and its generalization to two- dimensional spaces. +CD

Abstract:

The first objectives of this thesis, is oriented towards function approximation using special type of spline, which is called the "G-spline" including the details of the subject and the proof of some lemmas and corollary for completeness. The second objective of this work is the generalization of G-spline functions for two-dimensional spaces including the statement and proof of the existence and uniqueness theorems as well as the statement and proof of the optimality of two-dimensional G-spline functions.

اللغة إنجليزية

A bout the stability of fuzzy differential equations. +CD

Analytical study and approximated methods for solving fractional order partial differential equations.+CD

Functions approximation using G-spline and its generalization to two- dimensional spaces. +CD

On the solutions of the integral inequalities. +CD

On the approximate solution of infinite dimensional linear-quadratic optimal control problem via semigroup approach. +CD

Nonlinear dynamic control systems design problem and applications to chaos. +CD

Approximate method for solving some fractional differential equations. +CD

Solution of fuzzy initlal-boundary ordinary differential equations. +CD

Numerical evaluation to the gamma cumulative distribution function with random varietes generation by using Monte-Carlo simulaton. +CD

On inverse problems of fractional order integro-differential equations.