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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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Peer review status:UNDER REVIEW

25 Feb 2020Submitted to Mathematical Methods in the Applied Sciences
01 Mar 2020Submission Checks Completed
01 Mar 2020Assigned to Editor
03 Mar 2020Reviewer(s) Assigned
26 Mar 2020Review(s) Completed, Editorial Evaluation Pending
07 Apr 2020Editorial Decision: Revise Major
12 Apr 20201st Revision Received
12 Apr 2020Submission Checks Completed
12 Apr 2020Assigned to Editor
12 Apr 2020Reviewer(s) Assigned
12 Apr 2020Review(s) Completed, Editorial Evaluation Pending

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.