Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order

نویسندگان
Usta, Fuat ID 1
Budak, Huseyin ID 2
Sarikaya, Mehmet ID 3

1 Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey

2 Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey

3 Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey

doi
10.22075/ijnaa.2018.13630.1709
چکیده

This study outlines the local fractional integro-differential equations carried out by the local fractional calculus. The analytical solutions within local fractional Volterra and Abel’s integral equations via the Yang-Laplace transform are discussed. Some illustrative examples will be discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems for the local fractional integral equations.

کلیدواژه‌ها
Local fractional calculus, Volterra and Abel’s integral equations, Yang-Laplace transform