FRACTIONAL CALCULUS AND TIME-FRACTIONAL DIFFERENTIAL EQUATIONS: REVISIT AND CONSTRUCTION OF A THEORY ArticleYamamoto M.Mathematics. Том 10. 2022.
INVERSE PARABOLIC PROBLEMS OF DETERMINING FUNCTIONS WITH ONE SPATIAL-COMPONENT INDEPENDENCE BY CARLEMAN ESTIMATE ArticleImanuvilov O.Y., Kian Y., Yamamoto M.Journal of Inverse and Ill-Posed Problems. 2021.
CONDITIONAL STABILITY FOR AN INVERSE COEFFICIENT PROBLEM OF A WEAKLY COUPLED TIME-FRACTIONAL DIFFUSION SYSTEM WITH HALF ORDER BY CARLEMAN ESTIMATE ArticleRen C., Huang X., Yamamoto M.Journal of Inverse and Ill-Posed Problems. Том 29. 2021. С. 635-651
WELL-POSEDNESS FOR WEAK AND STRONG SOLUTIONS OF NON-HOMOGENEOUS INITIAL BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFUSION EQUATIONS ArticleKian Y., Yamamoto M.Fractional Calculus and Applied Analysis. Том 24. 2021. С. 168-201
UNIQUENESS IN DETERMINING FRACTIONAL ORDERS OF DERIVATIVES AND INITIAL VALUES ArticleYamamoto M.Inverse Problems. Том 37. 2021.
STABILITY ESTIMATE FOR A SEMILINEAR ELLIPTIC INVERSE PROBLEM ArticleChoulli M., Hu G., Yamamoto M.Nonlinear Differential Equations and Applications. Том 28. 2021.
GLOBAL LIPSCHITZ STABILITY FOR AN INVERSE SOURCE PROBLEM FOR THE NAVIER–STOKES EQUATIONS ArticleImanuvilov O.Y., Yamamoto M.Applicable Analysis. 2021.
ON TIME FRACTIONAL DERIVATIVES IN FRACTIONAL SOBOLEV SPACES AND APPLICATIONS TO FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS ArticleYamamoto M.SEMA SIMAI Springer Series. Том 26. 2021. С. 287-308
INVERSE MOVING SOURCE PROBLEM FOR TIME-FRACTIONAL EVOLUTION EQUATIONS: DETERMINATION OF PROFILES ArticleLiu Y., Hu G., Yamamoto M.Inverse Problems. Том 37. 2021.
UNIQUENESS FOR AN INVERSE COEFFICIENT PROBLEM FOR A ONE-DIMENSIONAL TIME-FRACTIONAL DIFFUSION EQUATION WITH NON-ZERO BOUNDARY CONDITIONS ArticleRundell W., Yamamoto M.Applicable Analysis. 2021.
STABILITY FOR INVERSE SOURCE PROBLEMS BY CARLEMAN ESTIMATES ArticleHuang X., Imanuvilov O.Y., Yamamoto M.Inverse Problems. Том 36. 2020.
WELL-POSEDNESS FOR THE BACKWARD PROBLEMS IN TIME FOR GENERAL TIME-FRACTIONAL DIFFUSION EQUATION ArticleFloridia G., Li Z.Y., Yamamoto M.Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni. Том 31. 2020. С. 593-610
INVERSE MOVING SOURCE PROBLEM FOR FRACTIONAL DIFFUSION(-WAVE) EQUATIONS: DETERMINATION OF ORBITS ArticleHu G., Liu Y., Yamamoto M.Springer Proceedings in Mathematics and Statistics. Том 310. 2020. С. 81-100
CARLEMAN ESTIMATE FOR LINEAR VISCOELASTICITY EQUATIONS AND AN INVERSE SOURCE PROBLEM ArticleImanuvilov O.Y., Yamamoto M.SIAM Journal on Mathematical Analysis. Том 52. 2020. С. 718-791
INVERSE PROBLEMS FOR A COMPRESSIBLE FLUID SYSTEM ArticleImanuvilov O.Y., Yamamoto M.Springer Proceedings in Mathematics and Statistics. Том 310. 2020. С. 101-148