Maximum and Minimum Results for the Green’s Functions in Delta Fractional Difference Settings-Reference-Cited by-同舟云学术

Maximum and Minimum Results for the Green’s Functions in Delta Fractional Difference Settings

Published:2024-08-05 Issue:8 Volume:16 Page:991
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Mohammed Pshtiwan Othman¹²^ORCID,Lizama Carlos³^ORCID,Lupas Alina Alb⁴^ORCID,Al-Sarairah Eman⁵⁶^ORCID,Abdelwahed Mohamed⁷^ORCID

Affiliation:

1. Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Iraq

2. Research and Development Center, University of Sulaimani, Sulaymaniyah 46001, Iraq

3. Departamento de Matemática y Ciencia de la Computación, Facultad de Ciencia, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago 8320000, Chile

4. Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania

5. Department of Mathematics, Khalifa University of Science and Technology, Abu Dhabi P.O. Box 127788, United Arab Emirates

6. Department of Mathematics, Al-Hussein Bin Talal University, P.O. Box 20, Ma’an 71111, Jordan

7. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

The present paper is dedicated to the examination of maximum and minimum results based on Green’s functions via delta fractional differences for a class of fractional boundary problems. For such a purpose, we built the corresponding Green’s functions based on the falling factorial functions. In addition, using the constructed Green’s function, the positivity of the function and its corresponding delta function are presented. We also verified the occurrence of two distinct functions with the same Green’s function. The maximality and minimality of the Green’s function show a good qualitative agreement. Finally, we considered some special examples to explain the obtained results.

Funder

University of Oradea, Romania

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/8/991/pdf

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