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

Document Type: Research Paper

Authors

1 Department of Mathematics, Faculty of Science and Arts, D"{u}zce University, D"{u}zce, Turkey

2 Department of Mathematics, Faculty of Science and Arts, D"{u}zce University, D"{u}zce, Turkey

3 Department of Mathematics, Faculty of Science and Arts, D"{u}zce University, D"{u}zce, Turkey

Abstract

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.

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