Some results for two classes of two-point local fractional proportional boundary value problems-Reference-Cited by-同舟云学术

Some results for two classes of two-point local fractional proportional boundary value problems

Published:2023 Issue:21 Volume:37 Page:7199-7216
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Laadjal Zaid¹,Abdeljawad Thabet²,Jarad Fahd³

Affiliation:

1. Department of Mathematics and Computer Science, University Center of Illizi, Illizi, Algeria

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, KSA

3. Department of Mathematics, Çankaya University, Ankara, Turkey + Department of Medical Research, China Medical University, Taichung, Taiwan

Abstract

In this paper, we consider two classes of boundary value problems in the frame of local proportional fractional derivatives. For both of these classes, we obtain the associated Green?s functions and discuss their properties. Using these properties, we go about the uniqueness of the solutions. In addition, we establish Lyapunov-type and Hartman-Wintner-type inequalities and build sharp estimated for the unique solutions of the considered equations.

Publisher

National Library of Serbia

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