A Computational Approach for the Solution of A Class of Variable-Order Fractional Integro-Differential Equations With Weakly Singular Kernels
A new computational approach for approximating of variable-order fractional derivatives is proposed. The technique is based on piecewise cubic spline interpolation. The method is extended to a class of nonlinear variable-order fractional integro-differential equation with weakly singular kernels. Il...
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| Veröffentlicht in: | Fractional calculus & applied analysis 2017-08, Vol.20 (4), p.1023-1042 |
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| container_title | Fractional calculus & applied analysis |
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| creator | Moghaddam, Behrouz Parsa Tenreiro Machado, José António |
| description | A new computational approach for approximating of variable-order fractional derivatives is proposed. The technique is based on piecewise cubic spline interpolation. The method is extended to a class of nonlinear variable-order fractional integro-differential equation with weakly singular kernels. Illustrative examples are discussed, demonstrating the performance of the numerical scheme. |
| doi_str_mv | 10.1515/fca-2017-0053 |
| format | Article |
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| ispartof | Fractional calculus & applied analysis, 2017-08, Vol.20 (4), p.1023-1042 |
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| source | SpringerNature Journals; Alma/SFX Local Collection |
| subjects | 41A15 45G05 45J05 65C20 65L12 Abstract Harmonic Analysis Analysis Computation convergence order Differential equations finite difference approximation Functional Analysis Integral Transforms Kernels Mathematical analysis Mathematics Operational Calculus Primary 26A33 Research Paper Secondary 33F05 spline approximation variable-order fractional calculus weakly singular integro-differential equation |
| title | A Computational Approach for the Solution of A Class of Variable-Order Fractional Integro-Differential Equations With Weakly Singular Kernels |
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