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Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip Conditions
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نویسنده
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he l. ,dong x. ,bai z. ,chen b.
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منبع
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journal of function spaces - 2017 - دوره : 2017 - شماره : 0
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چکیده
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Topological techniques are used to establish existence results for a class of fractional differential equations dαx(t)=f(t,x(t),dα-1x(t)),with one of the following boundary value conditions: x(0)=a and dα-1x(1)=b or dα-1x(0)=a and x(1)=b,where 1<α≤2 is a real number,dαx(t) is the conformable fractional derivative,and f:[0,1]×r2→r is continuous. the main conditions on the nonlinear term f are sign conditions (i.e.,the barrier strip conditions). the topological arguments are based on the topological transversality theorem. © 2017 limei he et al.
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آدرس
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college of mathematics and system science,shandong university of science and technology,qingdao, China, college of mathematics and system science,shandong university of science and technology,qingdao, China, college of mathematics and system science,shandong university of science and technology,qingdao, China, college of mathematics and statistics,shenzhen university,shenzhen, China
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Authors
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