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

Pshtiwan Othman Mohammed*, Ravi P. Agarwal, Dumitru Baleanu, Thabet Abdeljawad, Majeed A. Yousif, Mohamed Abdelwahed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Article number2540041
JournalFractals
DOIs
Publication statusAccepted/In press - 2024
Externally publishedYes

Keywords

  • Existence and Uniqueness Solution
  • Fractional Boundary Value Problems
  • Green's Functions
  • Riemann-Liouville Operators

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