On fractional hyperbolic functions and their generalizations
Abstract
This paper considers the study of fractional hyperbolic  functions which are obtained as solutions of $2^{nd}$ order Caputo fractional differential equations.  Inequality results are obtained relating the fractional hyperbolic cosine and sine functions.  Similar inequality results are also obtained for fractional cosine and sine functions.  Further  the generalized hyperbolic functions are obtained as solutions of $3^{rd}$ order and higher order Caputo fractional differential equations and their properties are discussed.  For a better understanding of these functions  tables and graphs  have been  included.Published
2013-08-24
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How to Cite
On fractional hyperbolic functions and their generalizations. (2013). Nonlinear Studies, 20(3). https://nonlinearstudies.com/index.php/nonlinear/article/view/893