Solving Conformable Fractional Differential Equations with ``EJS Software and Visualization of Sub-diffusion Process

Authors

  • Mahlagha Noshad Payame Noor University of Shiraz, Shiraz, Iran
  • Amir Pishkoo Physics and Accelerators Research School, NSTRI, Tehran, Iran https://orcid.org/0000-0001-6211-5493
  • Maslina Darus Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, Bangi, Selangor, Malaysia

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i4.4547

Keywords:

Conformable fractional derivative, easy java simulations (EJS), fractional differential equation

Abstract

In this work, we numerically solve ordinary and conformable fractional differential equations using Easy Java Simulations software. Their solutions, including homogeneous and non-homogeneous parts, are compared in various time intervals. Using software’s visualization andsimulation features, we may better examine, compare, and evaluate solutions of analytical and numerical fractional differential equations. A kind of oscillatory behavior is seen in long enough times. In simulation of diffusion and sub-diffusion processes, two intriguing events have been observed.

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Published

2022-10-31

How to Cite

Noshad, M., Pishkoo, A., & Darus, M. (2022). Solving Conformable Fractional Differential Equations with ``EJS Software and Visualization of Sub-diffusion Process. European Journal of Pure and Applied Mathematics, 15(4), 1738–1749. https://doi.org/10.29020/nybg.ejpam.v15i4.4547

Issue

Vol. 15 No. 4: (October 2022)

Section

Nonlinear Analysis

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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