COLLOCATION BASED APPROXIMATIONS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS

DOI10.3846/mma.2023.16359zbMath1514.65204MaRDI QIDQ6107715

Arvet Pedas, Kaido Lätt, Unnamed Author

Publication date: 3 July 2023

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

zbMATH Keywords

collocation methodboundary value problemCaputo derivativegraded gridfractional weakly singular integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Functional-differential equations with fractional derivatives (34K37)

Related Items (1)

Further investigation of stochastic nonlinear Hilfer-fractional integro-differential inclusions using almost sectorial operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spline collocation for fractional weakly singular integro-differential equations
• Which functions are fractionally differentiable?
• Collocation methods for fractional integro-differential equations with weakly singular kernels
• A nonpolynomial collocation method for fractional terminal value problems
• Smoothing transformation and spline collocation for nonlinear fractional initial and boundary value problems
• Multidimensional weakly singular integral equations
• An efficient collocation method for a Caputo two-point boundary value problem
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Numerical solution of fractional differential equations: a survey and a software tutorial
• Collocation methods for general Caputo two-point boundary value problems
• Smoothing transformation and spline collocation for linear fractional boundary value problems
• A new collection of real world applications of fractional calculus in science and engineering
• Analysis of a new partial integro-differential equation with mixed fractional operators
• Numerical solution of linear fractional weakly singular integro-differential equations with integral boundary conditions
• Theoretical Numerical Analysis
• The Maximum Principle for Time-Fractional Diffusion Equations and Its Application
• Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
• AN OPERATOR-BASED APPROACH FOR THE CONSTRUCTION OF CLOSED-FORM SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS
• A posteriori error analysis for a fractional differential equation
• TWO COLLOCATION TYPE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS
• Fractional Calculus

This page was built for publication: COLLOCATION BASED APPROXIMATIONS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS