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A Gronwall inequality and its applications to the Cauchy-type problem under ψ-Hilfer proportional fractional operators

Abstract In this paper, we propose a generalized Gronwall inequality in the context of the ψ-Hilfer proportional fractional derivative. Using Picard’s successive approximation and the definition of Mittag–Leffler functions, we construct the representation formula of the solution for the ψ-Hilfer pro...

Whakaahuatanga katoa

I tiakina i:
Ngā taipitopito rārangi puna kōrero
Ngā kaituhi matua: Weerawat Sudsutad, Chatthai Thaiprayoon, Bounmy Khaminsou, Jehad Alzabut, Jutarat Kongson
Hōputu: Artigo
Reo:Inglês
I whakaputaina: SpringerOpen 2023-02-01
Rangatū:Journal of Inequalities and Applications
Ngā marau:
Urunga tuihono:https://doi.org/10.1186/s13660-023-02929-x
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