Functional Variable Method for the Nonlinear Fractional Differential Equations

Bekir A., Guner O., Aksoy E., PANDIR Y.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece, 22 - 28 September 2014, vol.1648 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1648
  • Doi Number: 10.1063/1.4912955
  • City: Rhodes
  • Country: Greece
  • Keywords: The functional variable method, Fractional differential equation, modified Riemann-Liouville derivative, Symbolic computation, FINDING EXACT-SOLUTIONS, 1ST INTEGRAL METHOD, COMPLEX TRANSFORM
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this type functional variable method has been used to private type of nonlinear fractional differential equations. The main property of the method demonstrate in its flexibility and ability to solve nonlinear equations accurately, efficiency and conveniently. The fractional derivatives are described in the modified Riemann-Liouville sense. Three examples, are presented to show the application of the present technique. As a result, periodic and hyperbolic solutions are obtained.