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Title
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Applying $\uppsi$--Caupto fractional $q$--derivative to investigate of anti-periodic fractional differential inclusions
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Type
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Presentation
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Keywords
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Multi-Step methods, $\psi$-Caputo derivative
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Abstract
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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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Researchers
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Hasti Zanganeh (Third Researcher), . . (Second Researcher), Mohammad Esmael Samei (First Researcher)
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