• A FEW PROPERTIES OF FRACTIONAL HYPERBOLIC LIKE FUNCTIONS

S. NAGAMANI*

Abstract


In this paper we consider order Caputo fractional differential equation (CFDE) and obtain its solution analytically. The solutions of the  order CFDE are referred as fractional hyperbolic like functions. A few properties of these functions are studied. Further extended fractional hyperbolic like functions are obtained as solutions of the order CFDE of the same family.


Keywords


Caputo fractional differential equation, Mittag - Leffler function, fractional hyperbolic functions, fractional hyperbolic like functions, Wronskian.

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