FRACTIONAL CALCULUS AND TIME-FRACTIONAL DIFFERENTIAL EQUATIONS: REVISIT AND CONSTRUCTION OF A THEORY Article Yamamoto M. Mathematics. MDPI AG. Vol. 10. 2022.
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
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
UNIQUENESS IN DETERMINING FRACTIONAL ORDERS OF DERIVATIVES AND INITIAL VALUES Article Yamamoto M. Inverse Problems. Institute of Physics Publishing. Vol. 37. 2021.
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.
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.
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.
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
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.
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
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
INITIAL-BOUNDARY VALUE PROBLEMS FOR MULTI-TERM TIME-FRACTIONAL DIFFUSION EQUATIONS WITH X-DEPENDENT COEFFICIENTS Article Li Z., Huang X., Yamamoto M. Evolution Equations and Control Theory. American Institute of Mathematical Sciences. Vol. 9. 2020. P. 153-179
BACKWARD PROBLEMS IN TIME FOR FRACTIONAL DIFFUSION-WAVE EQUATION Article Floridia G., Yamamoto M. Inverse Problems. Institute of Physics Publishing. Vol. 36. 2020.
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