On ψ-quantum fractional operators: Existence, uniqueness and Ulam-Hyers stability

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:42 Issue:2
On ψ-quantum fractional operators: Existence, uniqueness and Ulam-Hyers stability

On ψ-quantum fractional operators: Existence, uniqueness and Ulam-Hyers stability

Authors : Norravich Limpanukorn, Idris Ahmed, Muhammad Jamilu Ibrahim

Pages : 313-320

View : 47 | Download : 43

Publication Date : 2024-04-30

Article Type : Research Paper

Abstract :In this paper, we study the generalized concept of q-calculus with respect to another func-tion. The ????-quantum Riemann-Liouville fractional integral, ????-quantum Riemann-Liouville fractional derivative, and ????-quantum Caputo fractional derivative were introduced. The ex-istence, uniqueness, and Ulam-Hyers stability of the solutions with the mentioned derivatives were established. Finally, some examples are considered to demonstrate the results obtained.
Keywords : Q Calculus, ψ Quantum, Ulam Hyers Stability, Banach Contraction

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