Karapinar, ErdalKumar, DevendraSakthivel, RathinasamyNguyen Hoang LucCan, N. H.2025-05-132025-05-1320201687-1847https://doi.org/10.1186/s13662-020-02998-yhttps://hdl.handle.net/20.500.12416/9702Rathinasamy, Sakthivel/0000-0002-5528-2709In this paper, we consider an inverse source problem for the time-space-fractional diffusion equation. Here, in the sense of Hadamard, we prove that the problem is severely ill-posed. By applying the quasi-reversibility regularization method, we propose by this method to solve the problem (1.1). After that, we give an error estimate between the sought solution and regularized solution under a prior parameter choice rule and a posterior parameter choice rule, respectively. Finally, we present a numerical example to find that the proposed method works well.eninfo:eu-repo/semantics/openAccessInverse Source ProblemTime-Space-Fractional Diffusion EquationIll-Posed ProblemConvergence EstimatesRegularization Method35K0535K9947J0647H10XArticle2020110.1186/s13662-020-02998-y2-s2.0-85092157875WOS:000578545400002Q1N/A