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Local Time Fractional Reduced Differential Transform Method for Solving 2. Local Time Fractional Telegraph Equations

Abstract

We seek in this paper to find solutions of the local time fractional Telegraph equation (LTFTE by employing the local time fractional reduced differential transform method (LTFRDTM This method produces a numerical approximate solution having the form of an infinite series that converges to a closed form solution in many cases. We apply LTFRDTM on four LTFTEs to examine the efficiency of the proposed method. The yielded results established effectiveness of LTFRDTM as a reliable and solid approach for obtaining solutions of. the LTFTEs .The solutions coincided with the exact solution in the ordinary case when minimal amount of computational work and saved a lot of time.

Author(s)

Yu-Ming Chu

Coauthor(s)

Maher Jneid, Abir Chaouk, Mustafa Inc, Hadi Rezazadeh, and Alphonse Houwe