Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives

DOI10.1016/j.cnsns.2017.01.017OpenAlexW2574131965MaRDI QIDQ2005474

Pedro R. S. Antunes, Rui A. C. Ferreira

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10400.2/7177

zbMATH Keywords

radial basis functionsboundary value problemfractional calculusCaputo derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Classical hypergeometric functions, ({}_2F_1) (33C05) Nonlinear ordinary differential operators (34L30) Boundary value problems for functional-differential equations (34K10)

Related Items (1)

Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations

Cites Work

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• Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
• Variational methods for the fractional Sturm-Liouville problem
• Numerical solution of fractional oscillator equation
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Spline collocation methods for linear multi-term fractional differential equations
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Error estimates and condition numbers for radial basis function interpolation
• Existence of a weak solution for fractional Euler-Lagrange equations
• The DuBois-Reymond fundamental lemma of the fractional calculus of variations and an Euler-Lagrange equation involving only derivatives of Caputo
• Expansion formula for fractional derivatives in variational problems
• A radial basis functions method for fractional diffusion equations
• The Runge phenomenon and spatially variable shape parameters in RBF interpolation
• Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space
• Generalized Jacobi functions and their applications to fractional differential equations
• Stable Computations with Gaussian Radial Basis Functions
• Spectral convergence of multiquadric interpolation
• An Augmented-RBF Method for Solving Fractional Sturm--Liouville Eigenvalue Problems
• Fractional Spectral Collocation Method

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