Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations

DOI10.1515/fca-2019-0022zbMath1423.35402arXiv1806.04886OpenAlexW3101977403MaRDI QIDQ2328613

Berikbol T. Torebek, Mukhtar Bin Muhammad Kirane

Publication date: 10 October 2019

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04886

zbMATH Keywords

maximum principlenonlinear problemfractional elliptic equationtime-fractional diffusion equationHadamard derivative

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Related Items (13)

Initial boundary value problems for space-time fractional conformable differential equation ⋮ Nakhushev extremum principle for a class of integro-differential operators ⋮ \(L^1\)-solutions of the initial value problems for implicit differential equations with Hadamard fractional derivative ⋮ An extension of maximum principle with some applications ⋮ On a non-local problem for a multi-term fractional diffusion-wave equation ⋮ On the kinetics of Hadamard-type fractional differential systems ⋮ On the critical behavior for time-fractional reaction diffusion problems ⋮ Maximum principles for a class of generalized time-fractional diffusion equations ⋮ Maximum principle for the space-time fractional conformable differential system involving the fractional Laplace operator ⋮ Bitsadze–Samarskii type problem for the integro-differential diffusion–wave equation on the Heisenberg group ⋮ Maximum principle for space and time-space fractional partial differential equations ⋮ Temporal discretization for Caputo-Hadamard fractional derivative with incomplete gamma function via Whittaker function ⋮ Maximum principle and its application to multi-index Hadamard fractional diffusion equation

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