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Bounds on the solution of a Cauchy-type problem involving a weighted sequential fractional derivative

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Abstract

In this paper we establish some bounds for the solution of a Cauchytype problem for a class of fractional differential equations with a weighted sequential fractional derivative. The bounds are based on a Bihari-type inequality and a bound on the Gauss hypergeometric function.

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Authors and Affiliations

  1. Department of Mathematics & Statistics, King Fahd University of Petroleum & Minerals, Dhahran, 31261, Saudi arabia

    Khaled M. Furati

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Furati, K.M. Bounds on the solution of a Cauchy-type problem involving a weighted sequential fractional derivative. fcaa 16, 171–188 (2013). https://doi.org/10.2478/s13540-013-0012-0

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