Weighted Cauchy-type problem of a functional differ-integral equation

DOI10.14232/ejqtde.2007.1.30zbMath1182.34004OpenAlexW2147676433WikidataQ115238515 ScholiaQ115238515MaRDI QIDQ3647421

Sh. A. El-Salam Abd, Ahmed M. A. El-Sayed

Publication date: 30 November 2009

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229513

zbMATH Keywords

stabilityfractional calculusweighted Cauchy-type problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)

Related Items

Coupled system of a fractional order differential equations with weighted initial conditions ⋮ On a differential equation involving Hilfer-Hadamard fractional derivative ⋮ Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions ⋮ THE EXISTENCE OF SOLUTIONS FOR A NONLOCAL PROBLEM OF AN IMPLICIT FRACTIONAL-ORDER DIFFERENTIAL EQUATION ⋮ On the weak solution $u ∈ C_1-α(I,E) of a fractional-order weighted Cauchy type problem in reflexive Banach spaces ⋮ Well-posedness and stability for a differential problem with Hilfer-Hadamard fractional derivative