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• W3188371240 abstract "Abstract The major goal of this work is investigating sufficient conditions for the existence and uniqueness of solutions for implicit impulsive coupled system of φ -Hilfer fractional differential equations (FDEs) with instantaneous impulses and terminal conditions. First, we derive equivalent fractional integral equations of the proposed system. Next, by employing some standard fixed point theorems such as Leray–Schauder alternative and Banach, we obtain the existence and uniqueness of solutions. Further, by mathematical analysis technique we investigate the Ulam–Hyers (UH) and generalized UH (GUH) stability of solutions. Finally, we provide a pertinent example to corroborate the results obtained." @default.
• W3188371240 created "2021-08-16" @default.
• W3188371240 creator A5020974388 @default.
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• W3188371240 date "2021-07-29" @default.
• W3188371240 modified "2023-09-25" @default.
• W3188371240 title "Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator" @default.
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• W3188371240 doi "https://doi.org/10.1186/s13661-021-01543-4" @default.
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