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UNIQUENESS RESULTS BASED ON DELTA FRACTIONAL OPERATORS FOR CERTAIN BOUNDARY VALUE PROBLEMS

PSHTIWAN OTHMAN MOHAMMED

https://orcid.org/0000-0001-6837-8075

Department of Mathematics, College of Education, University of Sulaimani, Sulaymaniyah 46001, Iraq

E-mail Address: pshtiwansangawi@gmail.com

Corresponding author.

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RAVI P. AGARWAL

https://orcid.org/0000-0003-0634-2370

Department of Mathematics and Systems Engineering, Florida Institute of Technology, Melbourne, FL 32901, USA

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DUMITRU BALEANU

https://orcid.org/0000-0002-0286-7244

Department of Computer Science and Mathematics, Lebanese American University, Beirut 11022801, Lebanon

E-mail Address: dumitru.baleanu@lau.edu.lb

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THABET ABDELJAWAD

Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally, Kuwait

Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Garankuwa, Medusa, 0204, South Africa

E-mail Address: tabdeljawad@psu.edu.sa

Corresponding author.

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MAJEED A. YOUSIF

https://orcid.org/0000-0002-0206-3828

Department of Mathematics, College of Education, University of Zakho, Zakho 42002, Iraq

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MOHAMED ABDELWAHED

https://orcid.org/0000-0002-9896-6692

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

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https://doi.org/10.1142/S0218348X25400419Cited by:1 (Source: Crossref)

Abstract

This paper primarily lies in presenting existence and uniqueness analysis of boundary fractional difference equations of a special Riemann–Liouville operators classes. To this end, we first develop Green’s function to the corresponding fractional boundary value problems and provide boundary conditions to find the constants. Then we study the existence of solutions and we examine the bounded of their solutions. Eventually, two numerical examples are given to demonstrate the efficiency and uniqueness behavior of the boundary value problem. Furthermore, such fractional problems can typically be converted to a direct fractional problem with certain boundary or initial conditions in transport in porous media.

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History

Received 29 April 2024

Accepted 27 July 2024

Published: November 26, 2024

Information

This is an Open Access article in the “Special Issue on Analysis and Modeling of Heat and Mass Transfer in Fractal Porous Media — Part II”, edited by Boqi Xiao (Wuhan Institute of Technology, China), Ali Akgül (Siirt University, Turkey; Lebanese American University, Lebanon), Dahua Shou (The Hong Kong Polytechnic University, Hong Kong), Gongbo Long (Wuhan Institute of Technology, China) & Qian Zheng (Wuhan Textile University, China) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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UNIQUENESS RESULTS BASED ON DELTA FRACTIONAL OPERATORS FOR CERTAIN BOUNDARY VALUE PROBLEMS

Abstract

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