Existence of solutions to boundary value problems for a class of infinite point fractional q-difference equations

Baiyan Xu; Kaibo Zhang

doi:10.1117/12.2672232

28 March 2023 Existence of solutions to boundary value problems for a class of infinite point fractional q-difference equations

Baiyan Xu, Kaibo Zhang

Author Affiliations +

Proceedings Volume 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022); 125970Y (2023) https://doi.org/10.1117/12.2672232
Event: Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 2022, Nanjing, China

Abstract

In this paper, we study the existence of solutions for a class of fractional order q-difference equations with infinite point boundary value problems. By constructing the properties of Green's function and using Guo Krasnosel'skii fixed point theorem, we prove the existence of solutions for the boundary value problems.

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Baiyan Xu and Kaibo Zhang "Existence of solutions to boundary value problems for a class of infinite point fractional q-difference equations", Proc. SPIE 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 125970Y (28 March 2023); https://doi.org/10.1117/12.2672232

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