BLOCK-BY-BLOCK TECHNIQUE FOR A CLASS OF NONLINEAR SYSTEMS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

F. Afiatdoust; M. H. Heydari; M. M. Hosseini

doi:10.11948/20230157

2024 Volume 14 Issue 1

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Article navigation > Journal of Applied Analysis & Computation > 2024 > 14(1): 214-234

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F. Afiatdoust, M. H. Heydari, M. M. Hosseini. BLOCK-BY-BLOCK TECHNIQUE FOR A CLASS OF NONLINEAR SYSTEMS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(1): 214-234. doi: 10.11948/20230157

Citation:

F. Afiatdoust, M. H. Heydari, M. M. Hosseini. BLOCK-BY-BLOCK TECHNIQUE FOR A CLASS OF NONLINEAR SYSTEMS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(1): 214-234. doi: 10.11948/20230157

BLOCK-BY-BLOCK TECHNIQUE FOR A CLASS OF NONLINEAR SYSTEMS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

1.
Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
2.
Department of Mathematics, Shiraz University of Technology, Shiraz, Modarres Boulevard, 71557-13876, Iran

Author Bio: Email: f.afiatdoust@math.uk.ac.ir(F. Afiatdoust); Email: mhosseini@uk.ac.ir(M. M. Hosseini)
Corresponding author: Email: heydari@sutech.ac.ir(M. H. Heydari)

Abstract

Abstract

This work expresses an approximate approach for a class of nonlinear systems of fractional integro-differential equations. The proposed scheme uses the five-point Gauss-Lobatto quadrature method and the block-by-block technique. This procedure obtains automatically several approximate values of the problem at the same time. The analysis of convergence of the adopted approach is investigated. Moreover, it is proved that the convergence order of the method is $ O(h^8) $. Some numerical examples are considered to reveal the effectiveness of the method.
- System of fractional integro-differential equations /
- Gaussian-Lobatto quadrature formula /
- Block-by-block method
MSC: 65R20, 65D30, 45G10

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References

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