Fixed point results for the fractional nonlinear problem with integral boundary condition

DOI10.1007/s00009-023-02498-9zbMath1522.34026OpenAlexW4386564091MaRDI QIDQ6052749

Chen Kuan Li, Zahra Eidinejad, Reza Saadati

Publication date: 17 October 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-023-02498-9

zbMATH Keywords

nonlinear fractional differential equationmultivariate Mittag-Leffler functionLeray-Schauder's fixed point theoremBabenko's strategyBanach's contractive principleintegral boundary condition problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Cites Work

• Nonlinear fractional differential equations with integral boundary value conditions
• Existence of solutions of discrete fractional problem coupled to mixed fractional boundary conditions
• Several results of fractional derivatives in \(D'(\mathbb R_+)\)
• Fractional differential equations with integral boundary conditions
• Unnamed Item