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on the solution of conformable fractional heat conduction equation
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نویسنده
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allahverdiev bilender p. ,tuna hüseyin ,yalçinkaya yüksel
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منبع
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caspian journal of mathematical sciences - 2023 - دوره : 12 - شماره : 2 - صفحه:248 -263
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چکیده
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In this article, we study a conformable fractional heat conduction equation. applying the method of separation variables to this problem, we get a conformable fractional sturm–liouville eigenvalue problem. later, we prove the existence of a countably infinite set of eigenvalues and eigenfunctions. finally, we establish uniformly convergent expansions in the eigenfunctions.
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کلیدواژه
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conformable fractional sturm-liouville operator ,eigenfunction expansion ,green’s function ,completely continuous operator
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آدرس
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khazar university, department of mathematics, azerbaijan. azerbaijan state university of economics (unec), azerbaijan and research center of econophysics, azerbaijan, mehmet akif ersoy university, department of mathematics, turkey, süleyman demirel university, department of mathematics, turkey
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پست الکترونیکی
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matyuksel@hotmail.com
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Authors
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