Conformable Fractional Differential Transform Method for Solving Fractional Derivatives
Abstract
The study of famous properties of fractional derivative and their proof has gained a lot of attention recently. However, the product of two function and the quotient of two functions obtained under wild conditions are weaker compared to those derived by compression theorem and norm-type expansion. In this paper, we studied the results of the chain rules in conformable fractional calculus and proposed a conformable fractional differential transform method with its applications to fractional derivative. We also established a new relation between fractional calculus and calculus based on basic limit definition. Some solved problems are reported to illustrates the application of the obtained results.