Resolvents for weakly singular kernels and fractional differential equations

DOI10.1016/j.na.2012.04.001zbMath1247.45004OpenAlexW2013467835MaRDI QIDQ435054

Leigh C. Becker

Publication date: 16 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.04.001

zbMATH Keywords

singular integral equationsresolventsfractional differential equationsAbel integral equationsweakly singular kernelsVolterra equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08)

Related Items (6)

MITTAG-LEFFLER STABILITY ANALYSIS OF TEMPERED FRACTIONAL NEURAL NETWORKS WITH SHORT MEMORY AND VARIABLE-ORDER ⋮ On a class of noncompact weakly singular Volterra integral equations: theory and application to fractional differential equations with variable coefficient ⋮ Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation ⋮ Resolvents and solutions of singular Volterra integral equations with separable kernels ⋮ Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique ⋮ Integral and fractional equations, positive solutions, and Schaefer's fixed point theorem

Cites Work

• Resolvents and solutions of weakly singular linear Volterra integral equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Abel integral equations. Analysis and applications
• Auflösung der Abelschen Integralgleichung 2. Art
• Numerial Methods for Volterra Integral Equations with Singular Kernels
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Analysis of fractional differential equations
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