Applied Mathematics & Information Sciences

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This paper in concerned with studying fractional differential problems involving two different derivatives. The first problem which involves the derivatives of Caputo is studied in its exisence and uniqueness of solutions. Then, an example is discussed to show the applicability of the result. In the second part, we use Khalil derivatives and the tanh numerical method to discuss traveling waves phenomena for a generalised partial differential equation. Some applications on beam equations are studied.

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