a note on lyapunov-type inequalities for fractional boundary value problems with sturm-liouville boundary conditions
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نویسنده
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pathak nimisha ,chavada anil
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منبع
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journal of mathematical extension - 2021 - دوره : 15 - شماره : 4 - صفحه:1 -12
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چکیده
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In this note, we study cauchy-schwarz-type inequality for fractional strum-liouville boundary value problem containing caputo derivative of order α, 1 < α ≤ 2. a lower bound for the smallest eigenvalue is determined using this inequality. we give a comparison between the smallest eigenvalue and its lower bound obtained from the lyapunov-type and cauchy-schwarz-type inequalities which indicate the properties of eigenvalues.
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کلیدواژه
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lyapunov inequality; caputo fractional derivative; cauchy-schwarz inequality; mittag-leffler function
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آدرس
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the maharaja sayajirao university of baroda, faculty of science, department of applied mathematics, india, the maharaja sayajirao university of baroda, faculty of science, department of applied mathematics, india
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پست الکترونیکی
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anilc-appmath@msubaroda.ac.in
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