"Approximate Solutions to Nonlinear Fractional Differential Equations w" by Silvia Alejandra Seminara and Marıa Ines Troparevsky

Progress in Fractional Differentiation & Applications

Article Title

Approximate Solutions to Nonlinear Fractional Differential Equations with the Caputo-Fabrizio Derivative

Authors

Silvia Alejandra Seminara, Department of Mathematics, Faculty of Engineering, Buenos Aires University, ArgentinaFollow
Marıa Ines Troparevsky

Author Country (or Countries)

Argentina

Abstract

In this work we prove the existence of solution to a nonlinear fractional initial value problem with Caputo-Fabrizio derivative. We pose an equivalent integral formulation of the problem, develop a recursive method to approximate the solution and prove its convergence. We show the performance of the procedure in some examples, including an application to hysteresis phenomena. Keywords:

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060407

Recommended Citation

Alejandra Seminara, Silvia and Ines Troparevsky, Marıa (2020) "Approximate Solutions to Nonlinear Fractional Differential Equations with the Caputo-Fabrizio Derivative," Progress in Fractional Differentiation & Applications: Vol. 6: Iss. 4, Article 7.
DOI: http://dx.doi.org/10.18576/pfda/060407
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol6/iss4/7

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