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

Usta, FuatBudak, HüseyinSarıkaya, Mehmet Zeki2020-04-302020-04-3020182008-6822https://doi.org/10.22075/ijnaa.2018.13630.1709https://hdl.handle.net/20.500.12684/5413WOS: 000457116400017This 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.en10.22075/ijnaa.2018.13630.1709info:eu-repo/semantics/closedAccessLocal fractional calculusVolterra and Abel's integral equationsYang-Laplace transformYang-Laplace transform method Volterra and Abel's integro-differential equations of fractional orderArticle92203214N/AN/A