Laplace Variational Iteration Method for Modified Fractional Derivatives with Non-singular Kernel

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Yepez Martinez Huitzilin; Gomez Aguilar Jose Francisco

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Paper Information

Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2020 | Volume:6 | Issue:3 Page(s): 684-698

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Title

Laplace Variational Iteration Method for Modified Fractional Derivatives with Non-singular Kernel

Author(s)

Yepez Martinez Huitzilin | Gomez Aguilar Jose Francisco | Issue Writer Certificate

Keywords

Variational iteration method

Fractional calculus

Laplace transform

Modified Caputo-Fabrizio fractional derivative

Modified Atangana-Baleanu fractional derivative

Abstract

A universal approach by Laplace transform to the Variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio fractional derivative and the Atangana-Baleanu fractional derivative with the non-singular kernel is considered. The analysis elaborated for both non-singular kernel derivatives is shown the necessity of considering the Modified Caputo-Fabrizio fractional derivative and the analogous modifications for the Atangana-Baleanu fractional derivative with non-singular Mittag-Leffler kernel in order to satisfy the initial conditions for some fractional differential equations.

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APA: Copy

Yepez Martinez, Huitzilin, & Gomez Aguilar, Jose Francisco. (2020). Laplace Variational Iteration Method for Modified Fractional Derivatives with Non-singular Kernel. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 6(3), 684-698. SID. https://sid.ir/paper/353337/en

Vancouver: Copy

Yepez Martinez Huitzilin, Gomez Aguilar Jose Francisco. Laplace Variational Iteration Method for Modified Fractional Derivatives with Non-singular Kernel. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2020;6(3):684-698. Available from: https://sid.ir/paper/353337/en

IEEE: Copy

Huitzilin Yepez Martinez, and Jose Francisco Gomez Aguilar, “Laplace Variational Iteration Method for Modified Fractional Derivatives with Non-singular Kernel,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 6, no. 3, pp. 684–698, 2020, [Online]. Available: https://sid.ir/paper/353337/en

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