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On the analytical and numerical study for fractional q-integrodifferential equations

Article scientifique 2022 Anglais

Résumé

Abstract In this paper, we give some basic concepts ofq-calculus that will be needed in this paper. Then, we built the q-nonlocal condition that ensures the solution existence and uniqueness of the fractional q-integrodifferential equation. Also, we introduce the continuous dependence of the solution. We find the numerical solution using the finite-difference-Trapezoidal and the cubic B-spline-Trapezoidal methods. Finally, we give three examples to illustrate the validity of our main results.

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Ibrahim, A., Zaghrout, A., Raslan, K., Ali, K. (2022). On the analytical and numerical study for fractional q-integrodifferential equations. https://doi.org/10.1186/s13661-022-01680-4

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Auteur(s)

Amira Abd‐Elall Ibrahim Afaf A. S. Zaghrout K. R. Raslan Khalid K. Ali

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