Boundary value problems for nonlinear fractional integro-differential equations: theoretical and numerical results

DOI10.1186/1687-1847-2012-18zbMath1278.45008OpenAlexW2162671824WikidataQ59271265 ScholiaQ59271265MaRDI QIDQ387286

Qasem M. Al-Mdallal

Publication date: 20 December 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-18

zbMATH Keywords

monotone iterative methodlower and upper solutions.nonlinear fractional integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions of integral equations (45M20) Fractional ordinary differential equations (34A08)

Related Items (4)

Successive iteration and positive solutions for a third-order boundary value problem involving integral conditions ⋮ Solving the system of nonlinear integral equations via rational contractions ⋮ On fractional-Legendre spectral Galerkin method for fractional Sturm-Liouville problems ⋮ Integral-type fractional equations with a proportional Riemann-Liouville derivative

Cites Work

• Monotone iterative sequences for nonlinear boundary value problems of fractional order
• Solution of fractional integro-differential equations by using fractional differential transform method
• Optimal mild solutions and weighted pseudo-almost periodic classical solutions of fractional integro-differential equations
• Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
• Approximate solution of fractional integro-differential equations by Taylor expansion method
• On fractional integro-differential equations with state-dependent delay
• Monotone iterative sequences for nonlinear integro-differential equations of second order
• On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
• Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
• Numerical methods for fourth-order fractional integro-differential equations
• Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions
• Semilinear fractional integro-differential equations with compact semigroup
• Fractals and fractional calculus in continuum mechanics
• Numerical solution of fractional integro-differential equations by collocation method
• Upper and lower solutions method and a fractional differential equation boundary value problem
• Unnamed Item

This page was built for publication: Boundary value problems for nonlinear fractional integro-differential equations: theoretical and numerical results