Blar i forfatter Artikler, rapporter og annet (datateknologi og beregningsorienterte ingeniørfag) "Shaimardan, S."

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    • Existence and Uniqueness of Some Cauchy Type Problems in Fractional q-Difference Calculus 

      Shaimardan, S.; Persson, Lars Erik; Tokmagambetov, N.S. (Journal article; Tidsskriftartikkel, 2020)
      In this paper we derive a sufficient condition for the existence of a unique solution of a Cauchy type q-fractional problem (involving the fractional q-derivative of Riemann-Liouville type) for some nonlinear differential equations. The key technique is to first prove that this Cauchy type q-fractional problem is equivalent to a corresponding Volterra q-integral equation. Moreover, we define the ...

    • Some new Hardy-type inequalities in q-analysis 

      Baiarystanov, A.O.; Persson, Lars Erik; Shaimardan, S.; Temirkhanova, A. (Peer reviewed; Journal article; Tidsskriftsartikkel, 2016-09)
      We derive necessary and sufficient conditions (of Muckenhoupt-Bradley type) for the validity of q -analogs of (r, p) -weighted Hardy-type inequalities for all possible positive values of the parameters r and p . We also point out some possibilities to further develop the theory of Hardy-type inequalities in this new direction.