Boundary value problems with four orders of Riemann-Liouville fractional derivatives

DOI10.1186/s13662-016-0897-0zbMath1419.34032OpenAlexW2473586878WikidataQ59462989 ScholiaQ59462989MaRDI QIDQ1625705

Sotiris K. Ntouyas, Sorasak Laoprasittichok, Somboon Niyom, Jessada Tariboon

Publication date: 29 November 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-016-0897-0

zbMATH Keywords

existencefixed point theoremsboundary value problemfractional differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Boundary value problems for ordinary differential equations (34B99) Fractional ordinary differential equations (34A08)

Related Items (8)

On Hyers-Ulam stability of a multi-order boundary value problems via Riemann-Liouville derivatives and integrals ⋮ A novel fractional structure of a multi-order quantum multi-integro-differential problem ⋮ On Ulam-Hyers-Rassias stability of a generalized Caputo type multi-order boundary value problem with four-point mixed integro-derivative conditions ⋮ Existence results for a Caputo-Hadamard type fractional boundary value problem ⋮ Existence analysis on a coupled multiorder system of FBVPs involving integro-differential conditions ⋮ Existence and Hyers-Ulam stability for three-point boundary value problems with Riemann-Liouville fractional derivatives and integrals ⋮ Nonlocal initial and boundary value problems via fractional calculus with exponential singular kernel ⋮ On a fractional Caputo-Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators

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