Abstract
A coupled system of fractal-fractional differential equations with coupled integral boundary conditions is considered. We implement Krasnoselskii’s type fixed point theorem to establish the criteria for existence of at least one solution to the considered coupled system. Also, results regarding stability of Ulam–Hyers type are derived. We give an example to justify our results.
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Authors are thankful to the Prince Sultan University for APC and support through TAS research lab.
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Kamal Shah included theoretical results. Muhammad Sarwar included example. Thabet Abdeljawad edited the final version. Shafiullah wrote the draft of the paper.
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Shah, K., Sarwar, M., Abdeljawad, T. et al. Sufficient criteria for the existence of solution to nonlinear fractal-fractional order coupled system with coupled integral boundary conditions. J. Appl. Math. Comput. 70, 1771–1785 (2024). https://doi.org/10.1007/s12190-024-02033-3
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DOI: https://doi.org/10.1007/s12190-024-02033-3