Initial value problem for nonlinear fractional differential equations with sequential fractional derivative

DOI10.1186/s13662-015-0620-6zbMath1422.34075OpenAlexW1953644180WikidataQ59434405 ScholiaQ59434405MaRDI QIDQ1622703

Rui Huang, Hailong Ye

Publication date: 19 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0620-6

zbMATH Keywords

existence and uniquenessCaputo fractional derivativesequential fractional derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items

On the nonlinear fractional differential equations with Caputo sequential fractional derivative, Periodic boundary value problem involving sequential fractional derivatives in Banach space, Sequential fractional differential equations with nonlocal boundary conditions on an arbitrary interval, Applicability of Mönch's fixed point theorem on existence of a solution to a system of mixed sequential fractional differential equation, Fractional-order differential equations with anti-periodic boundary conditions: a survey, Existence and uniqueness of the global solution for a class of nonlinear fractional integro-differential equations in a Banach space, A new fractional integral associated with the Caputo-Fabrizio fractional derivative, On the solvability fractional of a boundary value problem with new fractional integral

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