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.
Usta, F., Budak, H. & Sarikaya, M. (2018). Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order. International Journal of Nonlinear Analysis and Applications, 9(2), 203–214. https://doi.org/10.22075/ijnaa.2018.13630.1709
MLA
Usta, F., Budak, H., & Sarikaya, M. "Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order", International Journal of Nonlinear Analysis and Applications, 9, 2, 2018, 203–214. doi: 10.22075/ijnaa.2018.13630.1709
HARVARD
Usta, F., Budak, H., & Sarikaya, M. (2018). 'Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order', International Journal of Nonlinear Analysis and Applications, 9(2), pp. 203–214. doi: 10.22075/ijnaa.2018.13630.1709
CHICAGO
Usta, F., Budak, H. & Sarikaya, M., "Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order." International Journal of Nonlinear Analysis and Applications, 9 2 (2018): 203–214, doi: 10.22075/ijnaa.2018.13630.1709
VANCOUVER
Usta F., Budak H., Sarikaya M. Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order. IJNAA. 2018;9(2):203–214. doi: 10.22075/ijnaa.2018.13630.1709
International Journal of Nonlinear Analysis and Applications