Nonlinear differential equations of fractional order in the space of integrable functions.

zbMath1137.34308MaRDI QIDQ1432376

V. Bonilla, Anatoliy Aleksandrovich Kilbas, Juan J. Trujillo

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Nonlinear ordinary differential equations and systems (34A34) Fractional derivatives and integrals (26A33)

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Existence and attractivity for the Darboux problem of fractional order neutral differential equations ⋮ Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay ⋮ On the fractional Eulerian numbers and equivalence of maps with long term power-law memory (integral Volterra equations of the second kind) to Grünvald-Letnikov fractional difference (differential) equations ⋮ Universality in Systems with Power-Law Memory and Fractional Dynamics ⋮ New Types of Solutions of Non-linear Fractional Differential Equations ⋮ Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order ⋮ Darboux problem for perturbed partial differential equations of fractional order with finite delay ⋮ Weighted Hölder continuity of Riemann-Liouville fractional integrals -- application to regularity of solutions to fractional Cauchy problems with Carathéodory dynamics

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