New generalizations for Gronwall type inequalities involving a \(\psi\)-fractional operator and their applications
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Publication:2133250
DOI10.3934/math.2021299zbMath1484.26043OpenAlexW3135554881MaRDI QIDQ2133250
Yassine Adjabi, Mutti-Ur Rehman, Weerawat Sudsutad, Jehad O. Alzabut
Publication date: 29 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021299
existence and uniquenessgeneralized Gronwall inequalityUlam-Hyers stability\(\psi\)-fractional initial value problem\(\psi\)-fractional operators
Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Fractional ordinary differential equations (34A08)
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Langevin equation with nonlocal boundary conditions involving a \(\psi\)-Caputo fractional operators of different orders, Some new Gronwall-Bellman-Bihari type integral inequality associated with \(\psi\)-Hilfer fractional derivative, A Gronwall inequality and its applications to the Cauchy-type problem under \(\psi\)-Hilfer proportional fractional operators, Some new Gamidov type integral inequalities associated with \(\psi \)-fractional operators
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