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چکیده
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In this work, we study existence and uniqueness of solutions for multi-point boundary value problem of nonlinear fractional $q$-differential equations with two fractional derivatives. By using the variety of fixed point theorems, such as Banach's fixed point theorem, Leray-Schauder's nonlinear alternative and Leray-Schauder's degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed.
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