Explicit solutions of initial value problems for systems of linear Riemann-Liouville fractional differential equations with constant delay

DOI10.1186/s13662-020-02643-8zbMath1482.34188OpenAlexW3032234156MaRDI QIDQ2058251

Ravi P. Agarwal, Donal O'Regan, Snezhana G. Hristova

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/s13662-020-02643-8

zbMATH Keywords

initial value problemexplicit solutionRiemann-Liouville fractional derivativeconstant delay\(q\)-matrix exponential functionsystems of linear fractional equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (5)

Existence of solutions for a coupled system of nonlinear implicit differential equations involving \(\varrho\)-fractional derivative with anti periodic boundary conditions ⋮ Explicit solutions of initial value problems for systems of linear Riemann-Liouville fractional differential equations with constant delay ⋮ On a fractional Caputo-Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators ⋮ On the existence of solutions for fractional boundary value problems on the ethane graph ⋮ On a hybrid inclusion problem via hybrid boundary value conditions

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