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analytical treatment of volterra integro-differential equations of fractional derivatives
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نویسنده
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ghasemi m ,babolian e
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منبع
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پژوهش هاي رياضي - 1395 - دوره : 2 - شماره : 1 - صفحه:7 -16
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چکیده
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In this paper the solution of the volterra integro-differential equations of fractional order is presented. the proposed method consists in constructing the functional series, sum of which determines the function giving the solution of considered problem. we derive conditions under which the solution series, constructed by the method is convergent. some examples are presented to verify convergence, efficiency and simplicity of the method.mathematics subject classification: 45j05, 65t60
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کلیدواژه
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fractional volterra integro-differential equations ,caputo fractional derivative ,riemann-liouville fractional derivative
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آدرس
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shahrekord university, faculty of mathematical sciences, department of applied mathematics, ایران, kharazmi university, faculty of mathematical sciences and computer, ایران
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بررسی تحلیلی معادلات انتگرال دیفرانسیل با مشتقات کسری
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Authors
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قاسمی مهدی ,بابلیان اسمعیل
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