Unique existence of solution to initial value problem for fractional differential equation involving with fractional derivative of variable order

DOI10.1016/j.chaos.2021.111040zbMath1485.34061OpenAlexW3166283200WikidataQ115359139 ScholiaQ115359139MaRDI QIDQ2137528

Xinwei Su, Shu-Qin Zhang

Publication date: 16 May 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111040

zbMATH Keywords

solutioninitial value problemfractional differential equationsRiemann-Liouville fractional integralRiemann-Liouville derivative of variable order

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08)

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Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm ⋮ Analysis of a subdiffusion model with a variable-order fractional calibration term ⋮ Collocation method with Lagrange polynomials for variable‐order time‐fractional advection–diffusion problems ⋮ Numerical schemes for variable exponent fractional‐type integral equations ⋮ The existence and uniqueness of solutions for variable-order fractional differential equations with antiperiodic fractional boundary conditions

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