Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations

DOI10.1186/s13662-020-02624-xzbMath1482.34019OpenAlexW3029924645MaRDI QIDQ2058248

Muhammad Sarwar, Eiman, Kamal Shah, Dumitru Baleanu

Publication date: 7 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13662-020-02624-x

zbMATH Keywords

Hyers-Ulam stabilityKrasnoselskii's fixed point theoremCaputo-Fabrizio fractional differential equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (10)

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Cites Work

• A uniform method to Ulam-Hyers stability for some linear fractional equations
• Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
• Krasnoselskii's fixed point theorem and stability
• Properties of the Caputo-Fabrizio fractional derivative and its distributional settings
• A note on Hadamard fractional differential equations with varying coefficients and their applications in probability
• Fractional operators with exponential kernels and a Lyapunov type inequality
• On fractional derivatives with exponential kernel and their discrete versions
• Existence and stability results for nonlinear boundary value problem for implicit differential equations of fractional order
• Modelling of transmission dynamics of Nipah virus (Niv): a fractional order approach
• Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: a fractional calculus approach
• Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
• Fractional derivatives with Mittag-Leffler kernel. Trends and applications in science and engineering
• Existence and uniqueness for ψ‐Hilfer fractional differential equation with nonlocal multi‐point condition
• A note on fractional integral operator associated with multiindex Mittag-Leffler functions
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