Integro-differential equations of fractional order

DOI10.1007/s12591-012-0110-1zbMath1266.45011OpenAlexW1969660611MaRDI QIDQ691362

Saïd Abbas, John R. Graef, Mouffak Benchohra

Publication date: 30 November 2012

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

Full work available at URL: https://doi.org/10.1007/s12591-012-0110-1

zbMATH Keywords

Cauchy problemSchauder's fixed point theoremGronwall lemmafunction of two variablesexistence resultBanach's contraction principleleft-sided mixed Riemann-Liouville integral of fractional orderCaputo fractional-order derivativenonlinear alternative of Leray-Schauder typeintegro-differential equation of fractional order

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10)

Related Items

On an integro-differential inclusion of fractional order ⋮ Nonlinear fractional order Riemman-Liouville Volterra-Stieltjes partial integral equations on unbounded domains ⋮ On the existence and uniqueness of solutions of a class of initial value problems of fractional order ⋮ Nonlinear fractional differential equations with anti-periodic type fractional boundary conditions ⋮ New properties of the time-scale fractional operators with application to dynamic equations

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