Numerical solutions of some fractional order partial differential equations

The thesis is consists of six sections. In the first section, fractional order partial differential equations, Caputo fractional derivative, B-Spline functions, galerkin method, collocation method, eror norms and some basis information which will be used during the work is given. In the second section review article of the (Esen and Taşbozan, 2015) that Burgers' equation is obtained using the B-Spline kübic finite elements collocation method. In the third section review article of the (Esen and Taşbozan, 2017) that Telegraph equation is obtained using the B-Spline quadratik finite elements galerkin method. In the fourth section review article of the (Uçar vd., 2015) that Diffusion equation is obtained using the B-Spline kübic finite elements collocation method. In the fifth section review article of the (Siddiki and Arshed, 2014) that Four order time-fractional partial equation is obtained using the B-Spline quintic finite elements collocation method. Finaly, in the sixth section. commented on the stability of applied methods.