Quadratic and cubic logistic models involving Caputo–Fabrizio operator

In this paper, we numerically investigate the fractional quadratic and cubic logistic models involving the Caputo–Fabrizio operator. We construct the successive iterations using the theory of fractional calculus and Lagrange polynomials. Then, we handled the exact solutions of these models. The vali...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2023-11, Vol.232 (14-15), p.2351-2355
Main Authors: Al Fahel, Sara, Baleanu, Dumitru, Al-Mdallal, Qasem M., Saad, Khaled M.
Format: Article
Language:English
Subjects:
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Exact solutions
Fractional calculus
Materials Science
Mathematical models
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Polynomials
Recent Advancement of Fractional-Calculus and Its Applications in Physical Systems
Regular Article
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Summary:In this paper, we numerically investigate the fractional quadratic and cubic logistic models involving the Caputo–Fabrizio operator. We construct the successive iterations using the theory of fractional calculus and Lagrange polynomials. Then, we handled the exact solutions of these models. The validity of the accuracy and efficiency will be satisfied through some numerical results.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjs/s11734-023-00935-0