A Cauchy-type problem with a sequential fractional derivative in the space of continuous functions

DOI10.1186/1687-2770-2012-58zbMath1279.26016OpenAlexW2101791930WikidataQ59289596 ScholiaQ59289596MaRDI QIDQ372547

Khaled M. Furati

Publication date: 9 October 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-58

zbMATH Keywords

fractional derivativesRiemann-Liouville fractional derivativefractional differential equationsequential fractional derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items

A Cauchy-type problem involving a weighted sequential derivative in the space of integrable functions ⋮ Nonlinear sequential fractional differential equations in partially ordered spaces ⋮ On solutions to fractional discrete systems with sequential \(h\)-differences ⋮ On the existence and uniqueness of the solution of linear fractional differential-algebraic system ⋮ Bounds on the solution of a Cauchy-type problem involving a weighted sequential fractional derivative

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