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| On Dynamics of Certain Models via Generalized Conformable Fractional Derivative |
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| KeyWord:Fractional derivative, SECH-fractional derivative, fractional population growth model, fractional body cooling model, fractional heat equation, SIR model |
| Author Name | Affiliation | | Pinakadhar Baliarsingh | Institute of Mathematics and Applications, Bhubaneswar, Odisha, 751029 | | Swaraj Sahoo | Institute of Mathematics and Applications, Bhubaneswar, Odisha, 751029
P.G. Department of Mathematics, Utkal University, Bhubaneswar, 751004, India |
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| Abstract: |
| This paper deals with the generalized conformable fractional derivative and certain interesting properties which are not compatible with Riemann-Liouville and Caputo fractional derivatives. The newly defined derivative is more efficient than other conformable fractional derivatives and the nonlocal fractional derivatives from a time perspective. To justify the claim, we provide some direct applications, such as population growth, Newton's body cooling, heat equation and susceptible-infected-removed models. Solutions obtained from models and comparison with respective previous data are demonstrated with the help of graphs or stems. |
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