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Solutions of nonlinear time-fractional wave-like equations with variable coefficients in the form of mittag-leffler functions

Ali Khalouta, Abdelouahab KADEM

Abstract


The purpose of this paper is to use a modi…ed method called fractional Elzaki projected differential transform method (FEPDTM) which is a combination of two powerful methods, the Elzaki transform and projected di¤erential transform method for giving the solutions of nonlinear wave-like di¤erential equations with variable coefficients in the form of Mittag-le­ er functions. The fractional derivative is described in the Caputo sense. Three numerical examples are presented to illustrate the applicability and the easiness of this approach.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|