A Gronwall lemma for functions of two variables and its application to partial differential equations of fractional order

DOI10.3934/mcrf.2021019OpenAlexW3136709370WikidataQ114022471 ScholiaQ114022471MaRDI QIDQ2119436

Dariusz Idczak

Publication date: 29 March 2022

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2021019

zbMATH Keywords

singular integralsGronwall lemmafractional partial differential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Fractional partial differential equations (35R11)

Related Items (3)

On the existence of optimal solutions to the Lagrange problem governed by a nonlinear Goursat-Darboux problem of fractional order ⋮ A fractional imbedding theorem ⋮ Riemann-Liouville derivatives of abstract functions and Sobolev spaces

Cites Work

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• Nonlinear continuous Fornasini-Marchesini model of fractional order with nonzero initial conditions
• A generalized Gronwall inequality and its application to a fractional differential equation
• Stability analysis of an optimal control problem for a hyperbolic equation
• A fractional multiterm Gronwall lemma and its application to the stability of fractional integrodifferential systems
• Pontryagin maximum principle for fractional ordinary optimal control problems
• Computing optimal control With a hyperbolic partial differential equation
• On an optimization problem with cost of rapid variation of control
• A generalized Gronwall inequality and its application to fractional neutral evolution inclusions

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