On a fractional q -differential inclusion on a time scale via endpoints and numerical calculations

[摘要] By using an endpoint result for set-valued maps, we study the existence of solutions for a fractional q-differential inclusion with sum and integral boundary value conditions on the time scale$\mathbb{T}_{t_{0}}= \{t_{0} q, t_{0} q^{2},\ldots \} \cup \{0\}$ , where$t_{0}$ is a real number and$q \in (0,1)$ . We provide an example involving some graphs and algorithms via numerical calculations to illustrate our main result.

[学科分类] 航空航天科学

[关键词] Endpoint;q -differential inclusions;Sum boundary conditions;Caputo q -derivative;Integral boundary conditions