Publications

JOURNAL ARTICLES

• I. Colombaro, Time-like definition of quaternions in exterior algebra, Ric. di Mat. (2023). DOI: 10.1007/s11587-023-00810-z. [ArXiv]

• I. Colombaro, A. Giusti, A. Mentrelli, Energy dissipation in viscoelastic Bessel media, Acta Mech. (2023); 234: 2389. DOI: 10.1007/s00707-023-03506-5. [ArXiv]

• A. Martinez, I. Colombaro, J. Font-Segura, On the angular momentum and spin of generalized electromagnetic field for r-vectors in (k, n) space-time dimensions. Eur. Phys. Jour. Plus (2021); 136: 1047. DOI: 10.1140/epjp/s13360-021-02023-5. [ArXiv]

• I. Colombaro, J. Font-Segura, A. Martinez, An Exterior Algebraic Derivation of the Euler-Lagrange Equations from the Principle of Stationary Action . Mathematics (2021); 9(18): 2178. DOI: 10.3390/math9182178. [ArXiv]

• A. Martinez, J. Font-Segura, I. Colombaro, An Exterior-Algebraic Derivation of the Symmetric Stress-Energy-Momentum Tensor in Flat Space-Time . Eur. Phys. Jour. Plus (2021);136: 212. DOI: 10.1140/epjp/s13360-021-01192-7. [ArXiv]

• I. Colombaro, J. Font-Segura, A. Martinez, Generalized Maxwell equations for exterior-algebra multivectors in (k, n) space-time dimensions . Eur. Phys. Jour. Plus (2020); 135: 305. DOI: 10.1140/epjp/s13360-020-00305-y. [ArXiv]

• A. Giusti, I. Colombaro, R. Garra, R. Garrappa, F. Polito, M. Popolizio, F. Mainardi, A practical guide to Prabhakar fractional calculus. Fract. Calc. Appl. Anal. (2020); 23(1): 9-54. DOI: 10.1515/fca-2020-0002. [ArXiv]

• I. Colombaro, J. Font-Segura, A. Martinez, An Introduction to Space–Time Exterior Calculus, Mathematics (2019), 7(6): 564. DOI: 10.3390/math7060564. [ArXiv]

• I. Colombaro, R. Garra, A. Giusti, F. Mainardi, Scott-Blair models with time-varying viscosity, App. Math. Lett. (2018), 86: 57–63. DOI: 10.1016/j.aml.2018.06.022. [ArXiv]

• I. Colombaro, A. Giusti, S. Vitali, Storage and Dissipation of Energy in Prabhakar Viscoelasticity, Mathematics (2018), 6(2): 15. DOI: 10.3390/math6020015. [ArXiv]

• A. Giusti, I. Colombaro, Prabhakar-like Fractional Viscoelasticity, Comm. Nonlin. Sci. Num. Sim. (2018), 56: 138–143. DOI: 10.1016/j.cnsns.2017.08.002. [ArXiv]

• I. Colombaro, A. Giusti, F. Mainardi, On transient waves in linear viscoelasticity, Wave Motion (2017), 74:191–212. DOI: 10.1016/j.wavemoti.2017.07.008. [ArXiv]

• I. Colombaro, A. Giusti, F. Mainardi, On the propagation of transient waves in a viscoelastic Bessel medium. Z. Angew. Math. Phys. (2017), 68:62–74. DOI: 10.1007/s00033-017-0808-6. [ArXiv]

• I. Colombaro, A. Giusti, F. Mainardi, A class of linear viscoelastic models based on Bessel functions, Meccanica (2017), 52(4): 825–832. DOI: 10.1007/s11012-016-0456-5. [ArXiv]

CONFERENCE PAPERS

• I. Colombaro, G. Arnone, Electro-mechanical analogy for Prabhakar-like fractional viscoelasticity. J. Phys.: Conf. Ser. (2024); 2701: 012068. DOI: 10.1088/1742-6596/2701/1/012068.

• I. Colombaro, J. Font-Segura, A. Martinez, Derivation of the Symmetric Stress-Energy-Momentum Tensor in Exterior Algebra. J. Phys.: Conf. Ser. (2021); 2090: 012050. DOI: 10.1088/1742-6596/2090/1/012050.

• I. Colombaro, A. Giusti, Bessel Models of Linear Viscoelasticity, International Journal ofTheoretical and Applied Mechanics, 3, 26:31, (2018). [Link]

• I. Colombaro, A. Giusti, F. Mainardi, Wave Dispersion in the Linearised Fractional Korteweg – de Vries equation, WSEAS Transaction of Systems, 16, 43:46, (2017). [Link] [ArXiv]

• I. Colombaro, A. Giusti, F. Mainardi, A one parameter class of Fractional Maxwell-like models, AIP Conference Proceedings (2017), 1836(1): 020003. DOI: 10.1063/1.4981943. [ArXiv]