Contents V.11, N.2, 2020

  • ANALYTICAL APPROACH TO A CLASS OF BAGLEY-TORVIK EQUATIONS
    NAZIM I. MAHMUDOV, ISMAIL T. HUSEYNOV, NIHAN A. ALIEV, FIKRET A. ALIEV (pp. 238-258)
  • Abstract

    Multi-term fractional diferential equations have been studied because of their ap plications in modelling, and solved using miscellaneous mathematical methods. We present explicit analytical solutions for several families of generalized multidimensional Bagley-Torvik equations with permutable matrices and two various fractional orders which are satisfying both homogeneous and inhomogeneous cases. The results are obtained by means of Mittag-Leffler type matrix functions with double in nite series.

    Keywords

    Bagley-Torvik equations, Caputo fractional diferentiation, Mittag-Leffler type func- tions, Fox-Wright functions, double in nite series.

    Contact Details

    Telephone:
    Email: twms.aliev@gmail.com
    Website: www.twmsj.az

    Z.Khalilov str., 23, AZ 1148,
    Baku
    AZERBAIJAN