Analysis of Riccati Differential Equations within a New Fractional Derivative without Singular Kernel

• Autorzy: Jafari H. , Lia A. , Tejadodi H. , Baleanu D.

Identyfikatory

DOI

10.3233/FI-2017-1485

• Języki publikacji: EN

Abstrakty

EN

Recently Caputo and Fabrizio suggested new definition of fractional derivative that the new kernel has no singularity. In this paper, an analytical method for solving Riccati differential equation with a new fractional derivative is reported. We present numerical results of solving the fractional Riccati differential equations by using the variational iteration method and its modification. The obtained results of two methods demonstrate the efficiency and simplicity of the MVIM that gives good approximations for a larger interval.

Słowa kluczowe

EN

Caputo-Fabrizio derivative; Riccati differential equations; fractional derivative

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2017
• Tom: Vol. 151, nr 1/4
• Strony: 161--171
• Opis fizyczny: Bibliogr. 21 poz., wykr.

Twórcy

autor

Jafari H.

• Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran

autor

Lia A.

• Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran

autor

Tejadodi H.

• Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

autor

Baleanu D.

• Department of Mathematics, Cankaya University, 06530 Ankara, Turkey
• Institute of Space Sciences, P. O. BOX, MG-23, 76900 Magurele-Bucharest, Romania

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).