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چکیده
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In this manuscript, we investigate a class of hybrid Langevin inclusion along with variable coefficient involving the generalized q-derivative. In fact, based on the famous fractional q-derivative that depends on other function~$\gimel$, namely $\gimel$-Caputo fractional q-derivative, the proposed inclusion containing a variable coefficient is generalized. According to instructions of Dhage's fixed point theorem, we examine the required conditions for the existence of a solution for the hybrid q-differential Langevin inclusion, which includes checking variable coefficients. Presenting some practical examples at the end, together with the conclusion, will stimulate the theoretical achievements.
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