Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications

DOI10.1016/j.jde.2022.02.054zbMath1505.34007OpenAlexW4214925414MaRDI QIDQ2669947

Yuri Luchko, Mohammed Al-Refai

Publication date: 9 March 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.02.054

zbMATH Keywords

comparison principleuniqueness of solutionfractional differential inequalitiesgeneral fractional derivativesolution norm estimates

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Differential inequalities involving functions of a single real variable (34A40) Fractional ordinary differential equations (34A08)

Related Items (9)

Monotonicity and uniqueness of positive solutions to elliptic fractional \(p\)-equations ⋮ Game-theoretical problems for fractional-order nonstationary systems ⋮ Comparison principles for the time-fractional diffusion equations with the Robin boundary conditions. I: Linear equations ⋮ Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation ⋮ Dynamics analysis for a class of fractional Duffing systems with nonlinear time delay terms ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ On an initial boundary value problem for fractional pseudo-parabolic equation with conformable derivative ⋮ General non-local electrodynamics: equations and non-local effects ⋮ Nonlocal statistical mechanics: general fractional Liouville equations and their solutions

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