Conformable fractional derivative and integral applications

This thesis study in which conformable fractional derivative and conformable fractional integral have been examined consists of seven parts. In the introductory part of the thesis, conformable fractional derivative has been introduced and trace information about the subject has been given. In the second part,there are basic definitions and examples about the subject. In the third part of the thesis, conformable fractional integrals have been examined.In the forth part,the expansions of the power series of the fractional derivative have been given. In the fifth part,the partial integration has been examined.In the sixth part, the Laplace transformation of the compatible fractional derivative has been touched upon,and conclusion and suggestions have been mentioned in the last part.