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Oscillation of time fractional vector diffusion-wave equation with fractional damping

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, sufficient conditions for H-oscillation of solutions of a time fractional vector diffusion-wave equation with forced and fractional damping terms subject to the Neumann boundary condition are established by employing certain fractional differential inequality, where H is a unit vector in Rn. The examples are given to illustrate the main results.
Rocznik
Strony
291--305
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
  • Department of Mathematics Muthayammal College of Engineering Rasipuram - 637408, India
  • Sona College of Technology Department of Mathematics Salem - 636005, India
autor
  • Universidad de Santiago de Compostela Facultad de Matematicas Departamento de Analisis Matematico Santiago de Compostela, Spain
autor
  • Department of Mathematics Periyar University, Salem – 636011, India
Bibliografia
  • [1] D.-X. Chen, Oscillation criteria of fractional differential equations, Adv. Difference Equ. 33 (2012), 1-10.
  • [2] D.-X. Chen, Oscillatory behavior of a class of fractional differential equations with damping, U.P.B. Sci. Bull. Ser. A 75 (2013) 1, 107-117.
  • [3] Y.I. Domshlak, On the oscillation of solutions of vector differential equations, Soviet Math. Dokl. 11 (1970), 839-841.
  • [4] L.H. Erbe, Q. Kong, B.G. Zhang, Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York, 1995.
  • [5] S. Harikrishnan, P. Prakash, J.J. Nieto, Forced oscillation of solutions of a nonlinear fractional partial differential equation, Appl. Math. Comput. 254 (2015), 14-19.
  • [6] A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier Science B.V., Amsterdam, 2006.
  • [7] W.N. Li, Forced oscillation criteria for a class of fractional partial differential equations with damping term, Math. Probl. Eng. 2015 (2015), Article ID 410904.
  • [8] W.N. Li, On the forced oscillation of certain fractional partial differential equations, Appl. Math. Lett. 50 (2015), 5-9.
  • [9] W.N. Li, M. Han, F.W. Meng, H-oscillation of solutions of certain vector hyperbolic differential equations with deviating arguments, Appl. Math. Comput. 158 (2004), 637-653.
  • [10] W.N. Li, W. Sheng, Oscillation properties for solutions of a kind of partial fractional differential equations with damping term, J. Nonlinear Sci. Appl. 9 (2016), 1600-1608.
  • [11] E. Minchev, N. Yoshida, Oscillation of solutions of vector differential equations of parabolic type with functional arguments, J. Comput. Appl. Math. 151 (2003), 107-117.
  • [12] E.S. Noussair, C.A. Swanson, Oscillation theorems for vector differential equations, Util. Math. 1 (1972), 97-109.
  • [13] E.S. Noussair, C.A. Swanson, Oscillation of nonlinear vector differential equations, Ann. Mat. Pura. Appl. 109 (1976), 305-315.
  • [14] P. Prakash, S. Harikrishnan, Oscillation of solutions of impulsive vector hyperbolic differential equations with delays, Appl. Anal. 91 (2012), 459-473.
  • [15] P. Prakash, S. Harikrishnan, M. Benchohra, Oscillation of certain nonlinear fractional partial differential equation with damping term, Appl. Math. Letters 43 (2015), 72-79.
  • [16] P. Prakash, S. Harikrishnan, J.J. Nieto, J.-H. Kim, Oscillation of a time fractional partial differential equation, Elec. J. Qual. Theory Diff. Eqns. 15 (2014), 1-10.
  • [17] A. Raheem, Md. Maqbul, Oscillation criteria for impulsive partial fractional differential equations, Comput. Math. Appl. 73 (2017), 1781-1788.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-91d471e0-3463-44cb-9997-032324c26f63
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