A Truly Conformable Calculus on Time Scales

Abstract

We introduce the definition of conformable derivative on time scales and develop its calculus. Fundamental properties of the conformable derivative and integral on time scales are proved. Linear conformable differential equations with constant coefficients are investigated, as well as hyperbolic and trigonometric functions.

This is a preprint of a paper whose final and definite form is with 'Global and Stochastic Analysis' (GSA), ISSN 2248-9444, available [http://www.mukpublications.com/gsa.php]. Submitted 27-Nov-2016; Revised 04-March and 03-April, 2017; Accepted 23-May-2017

References in corpus (6)

• A Conformable Fractional Calculus on Arbitrary Time Scales
• Existence of Solution to a Local Fractional Nonlinear Differential Equation
• Variational Calculus with Conformable Fractional Derivatives
• Chain rules and inequalities for the BHT fractional calculus on arbitrary time scales
• Complex-valued fractional derivatives on time scales
• On conformable fractional calulus

Cited by in corpus (2)

• Time-Fractional Optimal Control of Initial Value Problems on Time Scales
• A study on partial dynamic equation on time scales involving derivatives of polynomials