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Well-Posedness of Parabolic Differential and Difference Equations With the Fractional Differential Operator
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نویسنده
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Ashyralyev A.
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منبع
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Malaysian Journal Of Mathematical Sciences - 2012 - دوره : 6 - شماره : SUPPL. - صفحه:73 -89
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چکیده
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The stable difference scheme for the approximate solution of the initial value problem du(t)/dt+d t 1/2u(t)+au(t) = f (t),0 <t<1,u(0) = 0 for the differential equation in a banach space e with the strongly positive operator a and fractional operator d t 1/2 is presented. the well-posedness of the difference scheme in difference analogues of spaces of smooth functions is established. in practice,the coercive stability estimates for the solution of difference schemes for the 2m-th order multi-dimensional fractional parabolic equation and the one-dimensional fractional parabolic equation with nonlocal boundary conditions in space variable are obtained.
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کلیدواژه
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Basset Problems; Coercive Stability; Difference Scheme; Fractional Parabolic Equation; Well-Posedness
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آدرس
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Department Of Mathematics,Ittu,Ashgabat,Turkmenistan,Department Of Mathematics,Fatih University, Turkey
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Authors
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