عنوان
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Existence Results For a New Fractional Boundary Value Problem By Variational Methods
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Fractional boundary value problem, Fractional variational calculus, Critical point theorems, Weak solution
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چکیده
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In this paper, by using techniques from fractional variational calculus and some critical point theorems, we prove the existence of weak solution and then deduce the existence of solution for the following fractional boundary value problem: where tDα T and 0Dtα are the right and left Riemann-Liouville fractional derivatives of order n − 1 < α < n which is a generalization of previous results and f : [0,T ] × R → R is a continuous function satisfying some assumptions. We propose two examples to illustrate our results.
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پژوهشگران
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فاطمه شیرمحمدزاده (نفر دوم)، عبدالعلی نعمتی حسین آبادی (نفر اول)
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