Inverse Source Problem for Sobolev Equation with Fractional Laplacian

In this paper, we are interested in the problem of determining source function for Sobolev equation with fractional Laplacian. This is ill-posed sense Hadamard. order to edit instability solution, applied Landweber method. theoretical analysis results, show error estimate between exact solution and regularized by using an a priori regularization parameter choice rule posteriori rule. Finally, investigate convergence when β ⟶ 1 + .