Particular solution of linear sequential fractional differential equation with constant coefficients by inverse fractional differential operators

DOI10.1007/s12591-017-0364-8zbMath1378.34013OpenAlexW2618457833WikidataQ115376457 ScholiaQ115376457MaRDI QIDQ1677274

Ayad R. Khudair, Sanaa L. Khalaf

Publication date: 10 November 2017

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-017-0364-8

zbMATH Keywords

fractional differential equationsRiemann-Liouville derivativeinverse differential operatorsinverse fractional differential operatorsJumarie's fractional derivation

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)

Related Items (4)

A study of a fully coupled two-parameter system of sequential fractional integro-differential equations with nonlocal integro-multipoint boundary conditions ⋮ Dynamic Analysis and Fractional-Order Terminal Sliding Mode Control of a Fractional-Order Buck Converter Operating in Discontinuous Conduction Mode ⋮ Solving fractional time-delay diffusion equation with variable-order derivative based on shifted Legendre-Laguerre operational matrices ⋮ Toward solving fractional differential equations via solving ordinary differential equations

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