FRACTIONAL CALCULUS AND TIME-FRACTIONAL DIFFERENTIAL EQUATIONS: REVISIT AND CONSTRUCTION OF A THEORY ArticleYamamoto M.Mathematics. Vol. 10. 2022.
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. Vol. 24. 2021. P.. 168-201
STABILITY ESTIMATE FOR A SEMILINEAR ELLIPTIC INVERSE PROBLEM ArticleChoulli M., Hu G., Yamamoto M.Nonlinear Differential Equations and Applications. Vol. 28. 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. Vol. 29. 2021. P.. 635-651
INVERSE MOVING SOURCE PROBLEM FOR TIME-FRACTIONAL EVOLUTION EQUATIONS: DETERMINATION OF PROFILES ArticleLiu Y., Hu G., Yamamoto M.Inverse Problems. Vol. 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.
ON TIME FRACTIONAL DERIVATIVES IN FRACTIONAL SOBOLEV SPACES AND APPLICATIONS TO FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS ArticleYamamoto M.SEMA SIMAI Springer Series. Vol. 26. 2021. P.. 287-308
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.
UNIQUENESS IN DETERMINING FRACTIONAL ORDERS OF DERIVATIVES AND INITIAL VALUES ArticleYamamoto M.Inverse Problems. Vol. 37. 2021.
GLOBAL LIPSCHITZ STABILITY FOR AN INVERSE SOURCE PROBLEM FOR THE NAVIER–STOKES EQUATIONS ArticleImanuvilov O.Y., Yamamoto M.Applicable Analysis. 2021.
INITIAL-BOUNDARY VALUE PROBLEMS FOR MULTI-TERM TIME-FRACTIONAL DIFFUSION EQUATIONS WITH X-DEPENDENT COEFFICIENTS ArticleLi Z., Huang X., Yamamoto M.Evolution Equations and Control Theory. Vol. 9. 2020. P.. 153-179
A STABILITY RESULT FOR THE DETERMINATION OF ORDER IN TIME-FRACTIONAL DIFFUSION EQUATIONS ArticleLi Z., Huang X., Yamamoto M.Journal of Inverse and Ill-Posed Problems. 2020.
UNIQUE CONTINUATION PROPERTY WITH PARTIAL INFORMATION FOR TWO-DIMENSIONAL ANISOTROPIC ELASTICITY SYSTEMS ArticleCheng J., Liu Y.-K., Wang Y.-B., Yamamoto M.Acta Mathematicae Applicatae Sinica. Vol. 36. 2020. P.. 3-17
INVERSE PROBLEMS FOR A COMPRESSIBLE FLUID SYSTEM ArticleImanuvilov O.Y., Yamamoto M.Springer Proceedings in Mathematics and Statistics. Vol. 310. 2020. P.. 101-148
INVERSE MOVING SOURCE PROBLEM FOR FRACTIONAL DIFFUSION(-WAVE) EQUATIONS: DETERMINATION OF ORBITS ArticleHu G., Liu Y., Yamamoto M.Springer Proceedings in Mathematics and Statistics. Vol. 310. 2020. P.. 81-100
THE UNIQUENESS OF INVERSE PROBLEMS FOR A FRACTIONAL EQUATION WITH A SINGLE MEASUREMENT ArticleKian Y., Li Z., Liu Y., Yamamoto M.Mathematische Annalen. 2020.
CARLEMAN ESTIMATE FOR LINEAR VISCOELASTICITY EQUATIONS AND AN INVERSE SOURCE PROBLEM ArticleImanuvilov O.Y., Yamamoto M.SIAM Journal on Mathematical Analysis. Vol. 52. 2020. P.. 718-791
BACKWARD PROBLEMS IN TIME FOR FRACTIONAL DIFFUSION-WAVE EQUATION ArticleFloridia G., Yamamoto M.Inverse Problems. Vol. 36. 2020.
STABILITY FOR INVERSE SOURCE PROBLEMS BY CARLEMAN ESTIMATES ArticleHuang X., Imanuvilov O.Y., Yamamoto M.Inverse Problems. Vol. 36. 2020.
GLOBAL STABILITY RESULT FOR PARABOLIC CAUCHY PROBLEMS ArticleChoulli M., Yamamoto M.Journal of Inverse and Ill-Posed Problems. 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. Vol. 31. 2020. P.. 593-610
A PARABOLIC SHAPE OPTIMIZATION PROBLEM ArticleTiba D., Yamamoto M.Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications. Vol. 12. 2020. P.. 312-328
A CARLEMAN ESTIMATE FOR THE LINEAR MAGNETOELASTIC WAVES SYSTEM AND AN INVERSE SOURCE PROBLEM IN A BOUNDED CONDUCTIVE MEDIUM ArticleBellassoued M., Moufid C., Yamamoto M.Applicable Analysis. 2019.
RECOVERING TWO COEFFICIENTS IN AN ELLIPTIC EQUATION VIA PHASELESS INFORMATION ArticleRomanov V.G., Yamamoto M.INVERSE PROBLEMS AND IMAGING. Vol. 13. 2019. P.. 81-91
CARLEMAN ESTIMATE FOR THE SCHRÖDINGER EQUATION AND APPLICATION TO MAGNETIC INVERSE PROBLEMS ArticleHuang X., Kian Y., Soccorsi É., Yamamoto M.Journal of Mathematical Analysis and Applications. Vol. 474. 2019. P.. 116-142