A new approach for the approximate solution of fractional integro-differential equations
by Mine Aylin Bayrak   Ali Demir  

Vol. 16 No. 3 (2021) P.193~P.215

DOI:	https://doi.org/10.21915/BIMAS.2021301
	10.21915/BIMAS.2021301

ABSTRACT

In this paper, the construction of the analytical solutions of space-time fractional integro-differential equations are studied. We first transform the space-time fractional integro-differential equations into space-time fractional differential equations by means of new transformations then construct the solutions via residual power series method (RPSM). Finally, we give some examples to illustrate how powerful and effective the method is.

KEYWORDS
Residual power series method, space-time fractional integro-differential equations, Caputo derivative

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35R11

MILESTONES

Received: 2021-09-09
Revised :
Accepted: 2021-09-28

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