Timeline for Could anyone please suggest me MATHEMATICA code to solve Fractional-Order Time Delay Differential System?
Current License: CC BY-SA 4.0
21 events
| when toggle format | what | by | license | comment | |
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| Feb 11, 2021 at 13:47 | vote | accept | vicky | ||
| Feb 11, 2021 at 12:00 | history | tweeted | twitter.com/StackMma/status/1359834592694460417 | ||
| Feb 10, 2021 at 21:33 | comment | added | Alex Trounev | @vicky Ah, sorry! See my answer. | |
| Feb 10, 2021 at 20:26 | answer | added | Alex Trounev | timeline score: 16 | |
| Feb 10, 2021 at 17:45 | comment | added | vicky | @AlexTrounev I am waiting for your code so could you please post the code. | |
| Feb 9, 2021 at 17:05 | comment | added | Rohit Namjoshi | Crossposted here. | |
| Feb 9, 2021 at 16:02 | comment | added | Alex Trounev | @vicky Maybe, I can, but where is this code? | |
| Feb 9, 2021 at 15:59 | comment | added | vicky | @AlexTrounev In Mathematica I have written code for Predictor-Corrector Algorithm, which works good for a fractional order differential system but i am not able to edit that code for a delay system. Could you please edit my code so that it could work for a delay system. | |
| Feb 9, 2021 at 15:54 | comment | added | vicky | @AlexTrounev I planned to study the chaotic nature of the above fractional order delay system so the interval should be at least 500 because chaos exist at large time. I adopt Caputo derivative. | |
| Feb 9, 2021 at 15:48 | comment | added | Alex Trounev | @vicky Why interval is required to be so large? There are several definitions of the fractional derivatives by Caputo, Riemann-Liouville, Atangana–Baleanu. What $D^{\alpha}$ means in your code? | |
| Feb 9, 2021 at 14:00 | history | edited | Mariusz Iwaniuk | CC BY-SA 4.0 |
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| Feb 9, 2021 at 13:59 | comment | added | vicky | @AlexTrounev yes time interval is finite. For example time can be considered till 2000 | |
| Feb 9, 2021 at 13:58 | history | edited | Mariusz Iwaniuk | CC BY-SA 4.0 |
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| Feb 9, 2021 at 13:55 | comment | added | Alex Trounev |
@vicky Is time interval up to infinity or limited? Please, pay attention that here is Mathematica forum, not Python. So function notation is f[t] not f(t ) :)
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| Feb 9, 2021 at 13:53 | comment | added | vicky | I found some Mathematica code in this forum but all those code use NDSolve built-in function. So dear all if possible please share me any link that contains code which applies numerical analysis to solve a fractional order delay differential system or even an integer order delay differential system is fine. | |
| Feb 9, 2021 at 13:43 | comment | added | vicky | @AlexTrounev yes here i have mentioned those conditions too. Considered fractional order delay differential system, $\begin{eqnarray*} D^{\alpha} x(t)&=&z+(y (t - \tau) - a)x\\ D^{\alpha} y (t) &=& 1 - b y - (x (t - \tau))^2\\ D^{\alpha} z (t) &= &-x (t - \tau) - c z.\\ \end{eqnarray*}$ Where, $ a = 3,~ b =0.1,~ c = 1,~ \tau = 0.35 $, and $x(0) = 0.1, ~y(0) =4,~ z(0) = 0.5$ and $\alpha = 0.90.$ and for, $t<0,~ x(t)=0.1, ~y(t)=4,~ z(t)=0.5$ | |
| Feb 9, 2021 at 13:39 | history | rollback | vicky |
Rollback to Revision 1
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| Feb 9, 2021 at 13:36 | history | edited | vicky | CC BY-SA 4.0 |
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| Feb 9, 2021 at 13:20 | comment | added | Alex Trounev |
For the time delay problem we need to define x[t], y[t], z[t] for $t<0$ as well.
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| Feb 9, 2021 at 8:37 | comment | added | user21 | vicky, you are aware that what you posted is not Mathematica code. Can you edit your question to make this code valid? | |
| Feb 9, 2021 at 7:36 | history | asked | vicky | CC BY-SA 4.0 |