@article{(Open Science Index):https://publications.waset.org/pdf/10009835,
	  title     = {An Efficient Collocation Method for Solving the Variable-Order Time-Fractional Partial Differential Equations Arising from the Physical Phenomenon},
	  author    = {Haniye Dehestani and  Yadollah Ordokhani},
	  country	= {},
	  institution	= {},
	  abstract     = {In this work, we present an efficient approach for
solving variable-order time-fractional partial differential equations,
which are based on Legendre and Laguerre polynomials. First, we
introduced the pseudo-operational matrices of integer and variable
fractional order of integration by use of some properties of
Riemann-Liouville fractional integral. Then, applied together with
collocation method and Legendre-Laguerre functions for solving
variable-order time-fractional partial differential equations. Also, an
estimation of the error is presented. At last, we investigate numerical
examples which arise in physics to demonstrate the accuracy of the
present method. In comparison results obtained by the present method
with the exact solution and the other methods reveals that the method
is very effective.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {12},
	  number    = {12},
	  year      = {2018},
	  pages     = {241 - 252},
	  ee        = {https://publications.waset.org/pdf/10009835},
	  url   	= {https://publications.waset.org/vol/144},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 144, 2018},
	}