A problem with generalized fractional integro-differentiation operators of arbitrary order
type: Item
instance of: scholarly article
title: A problem with generalized fractional integro-differentiation operators of arbitrary order
zbMATH Open document ID: 1270.45007
DOI: 10.3103/S1066369X12120067
published in: Russian Mathematics
publication date: 2013-03-21T00:00:00Z
review text: The authors study the existence of regular solutions of a boundary value problem of nonlinear-integro differential equations with (nonlocal) generalized fractional order boundary conditions.
reviewed by: A. M. A. El-Sayed
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 6147704
zbMATH Keywords: fractional calculus
zbMATH Keywords: integral equations
zbMATH Keywords: Riemann-Liouville integral
zbMATH Keywords: fractional derivative
zbMATH Keywords: Volterra and Abel integral equations
zbMATH Keywords: Gauss hypergeometric function
zbMATH Keywords: resolvent kernel
zbMATH Keywords: boundary value problem
zbMATH Keywords: nonlinear integro-differential equation
author: O. A. Repin
author: Svetlana K. Kumykova
MaRDI profile type: Publication
cites work: Q4183784
cites work: Q4726489
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cites work: A nonlocal problem for the Bitsadze-Lykov equation
cites work: Q4750170
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description: scientific article; zbMATH DE number 6147704