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THE ANALYTICAL SOLUTIONS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORS BY YANG-LAPLACE TRANSFORM

عنوان مقاله: THE ANALYTICAL SOLUTIONS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORS BY YANG-LAPLACE TRANSFORM
شناسه ملی مقاله: JR_SCMA-6-1_006
منتشر شده در شماره 1 دوره 6 فصل Spring and Summer در سال 1396
مشخصات نویسندگان مقاله:

HASSAN KAMIL JASSIM

خلاصه مقاله:
In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro- di erential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions.The iteration procedure is based on local fractional derivative op- erators. This approach provides us with a convenient way to nd a solution with less computation as compared with local fractionalvariational iteration method. Some illustrative examples are dis- cussed. The results show that the methodology is very e cient and a simple tool for solving integral equations.

کلمات کلیدی:
Volterra integro-di erential equation, Yang-Laplace trans- form, Local fractional derivative operators

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/643958/