Existence and stability of solution for nonlinear differential equations with \(\psi \)-Hilfer fractional derivative

DOI10.1016/j.aml.2021.107457zbMath1476.45010OpenAlexW3167771709WikidataQ115360684 ScholiaQ115360684MaRDI QIDQ2235040

Jue-liang Zhou, Shu-Qin Zhang, Yu Bo He

Publication date: 19 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107457

zbMATH Keywords

nonlinear differential equationBanach contraction mapping principle\( \psi \)-Hilfer fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability theory for integral equations (45M10) Fractional ordinary differential equations (34A08)

Related Items (2)

On approximate solutions of a class of Clairaut's equations ⋮ Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients

Cites Work

• Nonlocal fractional differential equations and applications
• Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions
• Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
• Existence and stability of solution for a nonlinear fractional differential equation
• Application and research of fractional differential equations in dynamic analysis of supply chain financial chaotic system
• On the \(\psi\)-Hilfer fractional derivative
• A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
• Weighted space method for the stability of some nonlinear equations
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space

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