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AUTHOR(S):

A. Simya Irmak

 

TITLE

A Note on Various Special Calculations Between the Ramp Function and Caputo-type Derivatives

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ABSTRACT

This special note provides preliminary information on the ramp (signal) function, which plays a significant role in engineering and science, and offers advantages for the efficient use of various computer-aided programs in different types of (mathematical) computations. Following this, we will present the fundamentals of certain Caputo-type calculations, which are also associated with a form of fractional calculus of arbitrary order. Furthermore, several specific computations involving the Caputo-type derivatives of the ramp function will be performed, and the key results obtained from these computations will be discussed.

KEYWORDS

The ramp (signal) function, Caputo type calculations, Fractional calculus of arbitrary order, Applications of the Caputo-type derivatives, Special functions.

 

Cite this paper

A. Simya Irmak. (2025) A Note on Various Special Calculations Between the Ramp Function and Caputo-type Derivatives. International Journal of Mathematical and Computational Methods, 10, 222-230

 

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