On a new technique for solving the nonlinear conformable time-fractional differential equations

Hosseini K., Bekir A., Kaplan M., Guner O.

OPTICAL AND QUANTUM ELECTRONICS, vol.49, no.11, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 11
  • Publication Date: 2017
  • Doi Number: 10.1007/s11082-017-1178-1
  • Journal Name: OPTICAL AND QUANTUM ELECTRONICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Real-world phenomena often are modelled by the nonlinear fractional differential equations. In this work, a novel technique called the exp(-phi(epsilon)) method is employed to find the exact solutions of nonlinear FDEs. Some well-known time-fractional differential equations in the context of conformable derivative, viz. the time-fractional modified Benjamin-Bona-Mahony (BBM) equation and the time-fractional Cahn-Hilliard (CH) equation are considered to test the usefulness of the method. The utility of the expd (-phi(epsilon)) method in solving nonlinear FDEs is proved.