FRACTIONAL CALCULUS AND TIME-FRACTIONAL DIFFERENTIAL EQUATIONS: REVISIT AND CONSTRUCTION OF A THEORY Article Yamamoto M. Mathematics. MDPI AG. Vol. 10. 2022.
WELL-POSEDNESS FOR WEAK AND STRONG SOLUTIONS OF NON-HOMOGENEOUS INITIAL BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFUSION EQUATIONS Article Kian Y., Yamamoto M. Fractional Calculus and Applied Analysis. Walter de Gruyter GmbH. Vol. 24. 2021. P. 168-201
UNIQUENESS FOR AN INVERSE COEFFICIENT PROBLEM FOR A ONE-DIMENSIONAL TIME-FRACTIONAL DIFFUSION EQUATION WITH NON-ZERO BOUNDARY CONDITIONS Article Rundell W., Yamamoto M. Applicable Analysis. 2021.
INVERSE PARABOLIC PROBLEMS OF DETERMINING FUNCTIONS WITH ONE SPATIAL-COMPONENT INDEPENDENCE BY CARLEMAN ESTIMATE Article Imanuvilov O.Y., Kian Y., Yamamoto M. Journal of Inverse and Ill-Posed Problems. Walter de Gruyter GmbH. 2021.
GLOBAL LIPSCHITZ STABILITY FOR AN INVERSE SOURCE PROBLEM FOR THE NAVIER–STOKES EQUATIONS Article Imanuvilov O.Y., Yamamoto M. Applicable Analysis. 2021.
CONDITIONAL STABILITY FOR AN INVERSE COEFFICIENT PROBLEM OF A WEAKLY COUPLED TIME-FRACTIONAL DIFFUSION SYSTEM WITH HALF ORDER BY CARLEMAN ESTIMATE Article Ren C., Huang X., Yamamoto M. Journal of Inverse and Ill-Posed Problems. Walter de Gruyter GmbH. Vol. 29. 2021. P. 635-651
INVERSE MOVING SOURCE PROBLEM FOR TIME-FRACTIONAL EVOLUTION EQUATIONS: DETERMINATION OF PROFILES Article Liu Y., Hu G., Yamamoto M. Inverse Problems. Institute of Physics Publishing. Vol. 37. 2021.
ON TIME FRACTIONAL DERIVATIVES IN FRACTIONAL SOBOLEV SPACES AND APPLICATIONS TO FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS Article Yamamoto M. SEMA SIMAI Springer Series. Springer Science and Business Media Deutschland GmbH. Vol. 26. 2021. P. 287-308
UNIQUENESS IN DETERMINING FRACTIONAL ORDERS OF DERIVATIVES AND INITIAL VALUES Article Yamamoto M. Inverse Problems. Institute of Physics Publishing. Vol. 37. 2021.
STABILITY ESTIMATE FOR A SEMILINEAR ELLIPTIC INVERSE PROBLEM Article Choulli M., Hu G., Yamamoto M. Nonlinear Differential Equations and Applications. Birkhauser Verlag AG. Vol. 28. 2021.
UNIQUE CONTINUATION PROPERTY WITH PARTIAL INFORMATION FOR TWO-DIMENSIONAL ANISOTROPIC ELASTICITY SYSTEMS Article Cheng J., Liu Y.-K., Wang Y.-B., Yamamoto M. Acta Mathematicae Applicatae Sinica. Springer Verlag. Vol. 36. 2020. P. 3-17
CARLEMAN ESTIMATE FOR LINEAR VISCOELASTICITY EQUATIONS AND AN INVERSE SOURCE PROBLEM Article Imanuvilov O.Y., Yamamoto M. SIAM Journal on Mathematical Analysis. Vol. 52. 2020. P. 718-791
INVERSE MOVING SOURCE PROBLEM FOR FRACTIONAL DIFFUSION(-WAVE) EQUATIONS: DETERMINATION OF ORBITS Article Hu G., Liu Y., Yamamoto M. Springer Proceedings in Mathematics and Statistics. Springer New York LLC. Vol. 310. 2020. P. 81-100
WELL-POSEDNESS FOR THE BACKWARD PROBLEMS IN TIME FOR GENERAL TIME-FRACTIONAL DIFFUSION EQUATION Article Floridia G., Li Z.Y., Yamamoto M. Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni. European Mathematical Society Publishing House. Vol. 31. 2020. P. 593-610
A STABILITY RESULT FOR THE DETERMINATION OF ORDER IN TIME-FRACTIONAL DIFFUSION EQUATIONS Article Li Z., Huang X., Yamamoto M. Journal of Inverse and Ill-Posed Problems. Walter de Gruyter GmbH. 2020.