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Nonlinear Multi-term Impulsive Fractional q-Difference Equations with Closed Boundary Conditions

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Abstract

We introduce and study a new class of nonlinear multi-term impulsive fractional q-difference equations supplemented with nonlocal boundary conditions. The classical fixed point theorems are applied to show the existence and uniqueness of solutions to the given problem. Examples are presented for illustrating the abstract results. Several new results appear as special cases of the ones presented in this article.

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Acknowledgements

This research work was funded by Institutional Fund Projects under grant no. (IFPIP: 1444-130-1443). The authors gratefully acknowledge the technical and financial support provided by the Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia. They also thank the reviewers for their constructive remarks on their work. In particular, they thank one of the reviewers who pointed out the error in the formula (Theorem 5.2 (1), Page 149 [54]) and suggested its correct form that is given in Remark 2.5

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  1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia

    Ahmed Alsaedi, Bashir Ahmad & Hana Al-Hutami

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  1. Ahmed Alsaedi
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  2. Bashir Ahmad
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  3. Hana Al-Hutami
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Alsaedi, A., Ahmad, B. & Al-Hutami, H. Nonlinear Multi-term Impulsive Fractional q-Difference Equations with Closed Boundary Conditions. Qual. Theory Dyn. Syst. 23, 67 (2024). https://doi.org/10.1007/s12346-023-00934-5

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