Numerical Method for Fractional-order Problems Using MATLAB software

Authors

  • Aye Mya Mya Moe  Department of Engineering Mathematics, University of Computer Studies, (Taungoo) / Taungoo City, Bago Region, Myanmar
  • Aye Thida Myint  Department of Engineering Mathematics, Technological University, (Hpa-An) / Hpan-An City, Kayin State, Myanmar
  • Zin Nwe Khaing  Department of Engineering Mathematics, University of Computer Studies, (Taungoo) / Taungoo City, Bago Region, Myanmar

DOI:

https://doi.org/10.32628/IJSRSET207383

Keywords:

Fractional Differential equations (FDEs); numerical methods; multi-term equations; product integration (PI); fractional linear multi-step methods (FLMMs); MATLAB routines

Abstract

Solving of Fractional differential equations of fractional (i.e., non-integer) order in an accurate, reliable and efficient way is much more difficult than in the standard integer-order case; moreover, the majority of the computational tools do not provide built-in functions for this kind of problem. In this paper was included the effective families of numerical methods for fractional-order problems, and the major computational issues such as the efficient treatment of the persistent memory term and the solution of the nonlinear systems involved in implicit methods using MATLAB routines specifically devised for solving three families of fractional-order problems: fractional differential equations (FDEs) (also for the non-scalar case), multi-order systems (MOSs) of FDEs and multi-term FDEs (also for the non-scalar case); some examples are provided to illustrate the use of the routines.

References

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2020-06-30

Issue

Volume 7, Issue 3, May-June-2020

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Aye Mya Mya Moe, Aye Thida Myint, Zin Nwe Khaing "Numerical Method for Fractional-order Problems Using MATLAB software" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 7, Issue 3, pp.437-441, May-June-2020. Available at doi : https://doi.org/10.32628/IJSRSET207383