Equivalence of higher order linear Riemann-Liouville fractional differential and integral equations

DOI10.1090/proc/15169zbMath1455.34007OpenAlexW3024986605WikidataQ115290733 ScholiaQ115290733MaRDI QIDQ5130865

Kunquan Lan

Publication date: 29 October 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15169

zbMATH Keywords

equivalenceinitial value problemsRiemann-Liouville fractional integral operatorlinear fractional differential equationVolterra integral equation of the second kindRiemann-Liouville fractional differential operator

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08)

Related Items (11)

Nonexistence and parameter range estimates for convolution differential equations ⋮ Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations ⋮ A new Bihari inequality and initial value problems of first order fractional differential equations ⋮ Nonlocal differential equations with (p,q)$ {(p,q)}$ growth ⋮ Existence and uniqueness of solutions of nonlinear Cauchy‐type problems for first‐order fractional differential equations ⋮ A basic theory for initial value problems of first order ordinary differential equations with \(L^p\)-Carathéodory functions and applications ⋮ Nonlocal differential equations with convolution coefficients and applications to fractional calculus ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Compactness of nonlinear integral operators with discontinuous and with singular kernels ⋮ Nonlocal differential equations with convex convolution coefficients

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