Solving Time Fractional Sharma-Tasso-Olever Equation using Fractional Complex Transform with Iterative Method
Bhausaheb R. Sontakke
Department of Mathematics, Pratishthan Mahavidyalaya, Paithan - 431107, Aurangabad, India.
Amjad Shaikh *
Department of Mathematics, Pratishthan Mahavidyalaya, Paithan - 431107, Aurangabad, India and Department of Mathematics, Poona College of Arts, Science and Commerce, Camp, Pune- 411001, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we consider time fractional Sharma-Tasso-Olever equation based on Jumarie's modified Riemann-Liouville derivatives. By using fractional complex transform the time fractional Sharma-Tasso-Olever equation reduces to nonlinear partial differential equation and then new iterative method is applied to get approximate solutions. The Numerical results and the graphs of the solutions are compared with the exact solutions to verify the applicability, efficiency and accuracy of the method.
Keywords: Fractional complex transforms, modified Riemann-Liouville definition, new iterative method; time fractional Sharma-Tasso-Olever equation