Mathematical analysis of the Cauchy type dynamical system under piecewise equations with Caputo fractional derivative

DOI10.1016/j.chaos.2022.112356zbMath1504.34014OpenAlexW4284713734MaRDI QIDQ2112948

Arshad Ali, Thabet Abdeljawad, Kamal Shah

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112356

zbMATH Keywords

numerical resultexistence theorystability resultNewton polynomialspiecewise Caputo derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (3)

Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions ⋮ Stability and numerical analysis of a coupled system of piecewise Atangana-Baleanu fractional differential equations with delays ⋮ Analysis of abstract partial impulsive integro-differential system with delay via integrated resolvent operator

Cites Work

• Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
• Recent history of fractional calculus
• On the notion of fractional derivative and applications to the hysteresis phenomena
• Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations
• \(S\)-asymptotically periodic fractional functional differential equations with off-diagonal matrix Mittag-Leffler function kernels
• Exponential Euler scheme of multi-delay Caputo-Fabrizio fractional-order differential equations
• Periodic motion for impulsive fractional functional differential equations with piecewise Caputo derivative
• Hyers‐Ulam stability analysis to implicit Cauchy problem of fractional differential equations with impulsive conditions
• On the Stability of the Linear Functional Equation
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