Existence theory and stability results for ψ-type complex-order implicit differential equations

DOI10.7153/DEA-2020-12-14zbMath1465.34012OpenAlexW3036487130MaRDI QIDQ5857951

D. Vivek, Unnamed Author, K. Kanagarajan, Sotiris K. Ntouyas

Publication date: 8 April 2021

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2020-12-14

zbMATH Keywords

stabilityexistenceboundary value problems\( \psi \)-fractional derivativeimplict differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Cites Work

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• A Caputo fractional derivative of a function with respect to another function
• On the existence and stability of solution of boundary value problem for fractional integro-differential equations with complex order
• A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
• Theory of Hybrid Fractional Differential Equations with Complex Order
• Dynamics and stability results of fractional integro-differential equations with complex order
• Dynamics and stability results of fractional pantograph equations with complex order
• Fractional Derivatives of Imaginary Order

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