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Abstract
This thesis introduced seven new encryption designs based on different methodologies such as: chaotic differential equations of integer and fractional-orders, nonlinear generalized chaotic maps, fractals with their fine details, mixing the generalized Fiestel network with the Linear Feedback Shift Register (LFSR) and, also, a new encryption system based on the chess-based horse-move to generate the permutation matrix. Many standard images were discussed and evaluated using the international measures such as NIST. Seven international papers were published (2 journal papers with IF + five international conferences)