Elzaki residual power series method to solve fractional diffusion equation.

ABSTRACT: The time-fractional order differential equations are used in many different contexts to analyse the integrated scientific phenomenon. Hence these equations are the point of interest of the researchers. In this work, the diffusion equation for a one-dimensional time-fractional order is solved using a combination of residual power series method with Elzaki transforms. The residual power series approach is a useful technique for finding approximate analytical solutions of fractional differential equations that needs the residual function's (n-1)α derivative. Since it is challenging to determine a function's fractional-order derivative, the traditional residual power series method's application is somewhat constrained. The Elzaki transform with residual power series method is an attempt to get

SUBMITTER: Pant R 

PROVIDER: S-EPMC10954171 | biostudies-literature | 2024

REPOSITORIES: biostudies-literature