عنوان
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Applying $\uppsi$--Caupto fractional $q$--derivative to investigate of anti-periodic fractional differential inclusions
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نوع پژوهش
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مقاله ارائه شده کنفرانسی
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کلیدواژهها
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Multi-Step methods, $\psi$-Caputo derivative
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چکیده
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In this paper, we investigate the existence of solutions for a class of fractional $q$--difference inclusions with anti-periodic boundary value conditions with $\uppsi$-Caupto fractional $q$--derivative. By means of some standard nonlinear theorems, sufficient conditions for the existence of solutions for the fractional $q$-differential inclusions under $\uppsi$-Caputo $q$--derivatives are presented where the real function $\uppsi$ is increasing. Our result generalizes the known special case if $\uppsi(t) = t$ and single known results to the multi-valued ones.
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پژوهشگران
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محمداسماعیل سامعی (نفر اول)، اعظم فتحی پور (نفر دوم)، هستی زنگنه (نفر سوم)
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