Work

Uniqueness Results Based on Delta Fractional Operators for Certain Boundary Value Problems

Year: 2024

Type: article

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.

Source: Fractals

DOI: 10.1142/s0218348x25400419

Authors: PSHTIWAN OTHMAN MOHAMMED, RAVI P. AGARWAL, DUMITRU BALEANU, THABET ABDELJAWAD, MAJEED A. YOUSIF, MOHAMED ABDELWAHED

Institutions: University of Sulaimani, Florida Institute of Technology, Lebanese American University, Gulf University for Science & Technology, China Medical University, Sefako Makgatho Health Sciences University, University of Zakho, King Saud University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: King Saud University

OpenAlex ID: W4403387101

FWCI: 4.686

Cites: 31

Cited by: 6

Related to: 10