A study on nabla discrete fractional operator in mass - spring - damper system

Abstract

The fractional calculus that is one of the new trends in science and engineering is concept of derivative and integral with arbitrary order. And, discrete fractional calculus (DFC) has an important place in fractional calculus which studied for the last 300 years. In present paper, we solved the equations of motion in mass-spring-damper system by using nabla () discrete fractional operator. And, we also introduced some instructive examples.