Existence of solutions for $q$-fractional differential equations with nonlocal Erdélyi-Kober $q$-fractional integral condition

Analysis of q‐fractional coupled implicit systems involving the nonlocal Riemann–Liouville and Erdélyi–Kober q‐fractional integral conditions

“…Jiang and Huang [41] examined the existence and uniqueness of the solution for the following nonlinear RL q-FDEs exposed to nonlocal Erdélyi-Kober q-fractional integral conditions:…”

“…Jiang and Huang [41] examined the existence and uniqueness of the solution for the following nonlinear q ‐ exposed to nonlocal Erdélyi–Kober q ‐fractional integral conditions: $$$$ \left\{\begin{array}{cc}\hfill & {\mathcal{D}}_q^{\alpha}\mathtt{u}\left(\uprho \right)+\mathrm{f}\left(\uprho, \mathtt{u}\left(\uprho \right),{\mathcal{D}}_q^{\delta}\mathtt{u}\left(\uprho \right)\right)=0,\kern0.30em \uprho \in \left(0,\mathrm{T}\right),\hfill \\ {}\hfill & \mathtt{u}(0)=0,\kern0.30em \mathrm{a}\mathtt{u}\left(\mathrm{T}\right)=\sum \limits_{\mathrm{i}=1}^{\mathrm{n}}{\lambda}_{\mathrm{i}}{\mathcal{I}}_q^{\upeta_{\mathrm{i}},{\upmu}_{\mathrm{i}},{\upbeta}_{\mathrm{i}}}\mathtt{u}\left({\xi}_{\mathrm{i}}\right),\hfill \end{array}\right. $$$$ where the order of $$$ \alpha $$$ and …”