Title of article
Yang-Laplace transform method Volterra and Abel's integro-differential equations of fractional order
Author/Authors
Fuat Usta, Department of Mathematics - Faculty of Science and Arts - Duzce University - Duzce, Turkey , Budak, Huseyin Department of Mathematics - Faculty of Science and Arts - Duzce University - Duzce, Turkey , Zeki Sarikaya, Mehmet Department of Mathematics - Faculty of Science and Arts - Duzce University - Duzce, Turkey
Pages
12
From page
203
To page
214
Abstract
This study outlines the local fractional integro-differential equations carried out by the local frac-
tional 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.
Keywords
Local fractional calculus , Volterra and Abel's integral equations , Yang-Laplace transform
Journal title
Astroparticle Physics
Serial Year
2018
Record number
2442532
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