Journal of Mathematical Analysis and Modeling

Journal of Mathematical Analysis and Modeling

Uniqueness of continuous solution to $q$-Hilfer fractional hybrid integro-difference equation of variable order

Yazarlar: IDRIS AHMED, Norravich Limpanukorn, Muhammad Jamilu Ibrahim

Cilt 2 , Sayı 3 , 2021 , Sayfalar 88-98

Konular:-

DOI:10.48185/jmam.v2i3.421

Anahtar Kelimeler:$q$,Alculus,Hilfer fractional derivative,Hybrid integro,Ifference equation,Variable,Rder

Özet: In this paper, the authors introduced a novel definition based on Hilfer fractional derivative, which name $q$-Hilfer fractional derivative of variable order. And the uniqueness of solution to $q$-Hilfer fractional hybrid integro-difference equation of variable order of the form \eqref{eq:varorderfrac} with $0 < \alpha(t) < 1$, $0 \leq \beta \leq 1$, and $0 < q < 1$ is studied. Moreover, an example is provided to demonstrate the result.

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@article{2021, title={Uniqueness of continuous solution to $q$-Hilfer fractional hybrid integro-difference equation of variable order}, volume={2}, number={88–98}, publisher={Journal of Mathematical Analysis and Modeling}, author={IDRIS AHMED,Norravich Limpanukorn,Muhammad Jamilu Ibrahim}, year={2021} }
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IDRIS AHMED,Norravich Limpanukorn,Muhammad Jamilu Ibrahim. (2021). Uniqueness of continuous solution to $q$-Hilfer fractional hybrid integro-difference equation of variable order (Vol. 2). Vol. 2. Journal of Mathematical Analysis and Modeling.
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IDRIS AHMED,Norravich Limpanukorn,Muhammad Jamilu Ibrahim. Uniqueness of Continuous Solution to $q$-Hilfer Fractional Hybrid Integro-Difference Equation of Variable Order. no. 88–98, Journal of Mathematical Analysis and Modeling, 2021.
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