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
Link To Document :
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