scientific article

zbMath1488.34071MaRDI QIDQ3385518

Sujing Sun, Lei Hu, Shu-Qin Zhang

Publication date: 20 December 2021

Full work available at URL: http://math-frac.org/Journals/JFCA/Vol9(2)_July_2018/Vol9(2)_Papers/Volume9(2)_Paper8_Abstract.html

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zbMATH Keywords

partitionexistenceinitial value problemapproximate solutionfractional differential equationspiecewise constant functionsvariable-order fractional derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Approximations and expansions (41A99) Fractional ordinary differential equations (34A08)

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Implicit nonlinear fractional differential equations of variable order ⋮ On definition of solution of initial value problem for fractional differential equation of variable order ⋮ Unique existence of solution to initial value problem for fractional differential equation involving with fractional derivative of variable order ⋮ Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique ⋮ Multiterm boundary value problem of Caputo fractional differential equations of variable order ⋮ Darbo fixed point criterion on solutions of a Hadamard nonlinear variable order problem and Ulam-Hyers-Rassias stability ⋮ On the boundary value problems of Hadamard fractional differential equations of variable order ⋮ Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique ⋮ A study on the solutions of a multiterm FBVP of variable order ⋮ On the sub-diffusion fractional initial value problem with time variable order ⋮ Existence and stability of a Caputo variable-order boundary value problem ⋮ On Ulam-Hyers-Rassias stability of the boundary value problem of Hadamard fractional differential equations of variable order

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