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ON THE SOLUTION OF CONFORMABLE FRACTIONAL HEAT CONDUCTION EQUATION
  • Bilender Pasaoglu,
  • Hüseyin TUNA,
  • YÜKSEL YALÇINKAYA
Bilender Pasaoglu
Suleyman Demirel Universitesi
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Hüseyin TUNA
Mehmet Akif Ersoy University
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YÜKSEL YALÇINKAYA
SULEYMEN DEMIREL UNIVERSITY
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Abstract

In this article, we sudy conformable fractional heat conduction equation. Applying the method of seperation variables to this problem, we get a conformable 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.