| 1957 | Fulbright Scholarship to USA. |
| 1959 | Honorary member of Accademia delle Scienze di Ferrara. |
| 1963 | Vacchelli Award from Istituto Geografico Militare. |
| 1970 | Member of Accademia Nazionale dei Lincei. |
| 1976 | Feltrinelli Award from Accademia Nazionale dei Lincei. |
| 1975 | Award Villa San Giovanni from the city of Reggio Calabria. |
| 1980 | Award Alberto d’Este from the city of Ferrara. |
| 1980 | Award from the Society of Engineering Seismology of India. |
| 1983 | Received the Harris Chair in Geophysics without teaching obligations from Texas A&M University. |
| 1989 | Member of Academia Europaea (London). |
| 2008 | Received the 2008 award from the International Federation of Automatic Control. |
| 2020 | Received "Leibniz-l'Hopital Award" for "Achievements in Fractional Calculus and Applications" from Unversity di Biruni (Turkey). |
| 2021 | Received awards and recognitions for the results in scientific research including: the International Society of Photogrammetry and Remote Control, the International Federation of Automatic Control. |
| 2021 | Received "Lifetime achievements award" from Jaipur University (India). |
| 2021 | Received "Lifetime achievements award" from Jaipur Mathematical Society (India). |
| 2022 | Received "J.A TENREIRO MACHADO AWARD" for "breakthrough achievements in Fractional Calculus" in the International Conference of Mathematical Analysis and Applications in Science and Engineering (Portugal). |
| 2023 | Received the Mittag Leffler award for cumulative contributions in the field of fractional diferentiation from the "International Conference on Fractional Diferentiation" held at Ajman University (UAE). |