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computation of eigenvalues of fractional sturm–liouville problems
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نویسنده
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maralani e.m. ,saei f.d. ,akbarfam a.a.j. ,ghanbari k.
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منبع
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iranian journal of numerical analysis and optimization - 2021 - دوره : 11 - شماره : 1 - صفحه:117 -133
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چکیده
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We consider the eigenvalues of the fractional-order sturm--liouville equation of the form −cdα0+∘dα0+y(t)+q(t)y(t)=λy(t),0<α≤1,t∈[0,1], with dirichlet boundary conditions i1−α0+y(t)|t=0=0andi1−α0+y(t)|t=1=0,where q∈l2(0,1) is a real-valued potential function. the method is used based on a picard's iterative procedure. we show that the eigenvalues are obtained from the zeros of the mittag-leffler function and its derivatives.
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کلیدواژه
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fractional sturm–liouville ,fractional calculus ,iterative methods ,eigenvalues
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آدرس
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islamic azad university, tabriz branch, department of mathematics, iran, islamic azad university, tabriz branch, department of mathematics, iran, university of tabriz, iran, sahand university of technology, iran
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پست الکترونیکی
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kghanbari@sut.ac.ir
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Authors
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