Theoretical and Numerical Aspect of Fractional Differential Equations with Purely Integral Conditions

In this paper, we are interested in the study of a Caputo time fractional advection–diffusion equation with nonhomogeneous boundary conditions integral types ∫01vx,tdx and ∫01xnvx,tdx. The existence uniqueness given problem’s solution is proved using method energy inequalities known as “a priori estimate” relying on range density operator generated by considered problem. approximate for problem these new kinds established combination finite difference numerical integration. Finally, give some tests to illustrate usefulness obtained results.