Analytical and numerical solution of fractional Boundary Value Problems

This thesis is devoted to the study of boundary value problem and some systems for fractional
differential equations involving the Caputo-Fabrizio derivative. The existence and
uniqueness of the solution leads to the study of a linear integral Volterra-Fredholm equation
of the second type.
After that, we used numerical method to obtain an approximate solution. The solution was
implemented and the error committed was estimated using Matlab.
Our conclusion is that the presented numerical methods gives an almost perfect approximation
through the example that we have provided in the last one.