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Title An applicable generalization of fractional quantum differential equations with arbitrary fractional order via multi-step methods
Type JournalPaper
Keywords Arbitrary fractional order; Caputo $q$--derivation; multi-step methods; nonlinear analysis; numerical direction
Abstract This paper studies a nonlinear multi term fractional $q$-differential equations of arbitrary fractional orders. New existence and uniqueness comes about are built up utilizing Banach contraction principle. Other existence results are gotten utilizing fixed point theorems of Schaefer and Krasnoselskii. In order to clarify our results, some illustrative examples are also shown.
Researchers Bhagwat Ram (Fourth Researcher), Mohamed Houas (Third Researcher), Hasti Zanganeh (Second Researcher), Mohammad Esmael Samei (First Researcher)