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On the singular perturbations for fractional differential equation. [PDF]

ScientificWorldJournal, 2014
The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of the concept of fractional calculus. We make use of the
Atangana A.
europepmc   +2 more sources

The closed-form solution by the exponential rational function method for the nonlinear variable-order fractional differential equations

Frontiers in Physics
The symmetry features of fractional differential equations allow effective explanation of physical and biological phenomena in nature. The generalized form of the fractional differential equations is the variable-order fractional differential equations ...
Mashael M. ALBaidani, Umair Ali, Abdul Hamid Ganie   +2 more
doaj   +1 more source

Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations

International Journal of Analysis and Applications, 2019
The idea proposed in this work is to extend the ZZ transform method to resolve the nonlinear fractional partial differential equations by combining them with the so-called homotopy perturbation method (HPM).
Lakhdar Riabi, Kacem Belghaba, Mountassir Hamdi Cherif, Djelloul Ziane   +3 more
doaj   +2 more sources

Approximate solution of the conformable integro-differential equations

Miskolc Mathematical Notes
In this paper, fractional linear and nonlinear integro-differential equations are solved by using an iteration method. Fractional derivative and fractional integral are considered in the conformable sense. The conformable integro-differential equation is
Handan Çerdik Yaslan
doaj   +1 more source

A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative. [PDF]

Adv Differ Equ, 2020
Baleanu D, Mohammadi H, Rezapour S.
europepmc   +1 more source

Fractional Time-Delayed Differential Equations: Applications in Cosmological Studies

Fractal and Fractional
Fractional differential equations model processes with memory effects, providing a realistic perspective on complex systems. We examine time-delayed differential equations, discussing first-order and fractional Caputo time-delayed differential equations.
Bayron Micolta-Riascos, Byron Droguett, Gisel Mattar Marriaga, Genly Leon, Andronikos Paliathanasis, Luis del Campo, Yoelsy Leyva   +6 more
doaj   +1 more source

An efficient technique for higher order fractional differential equation. [PDF]

Springerplus, 2016
Ali A, Iqbal MA, Ul-Hassan QM, Ahmad J, Mohyud-Din ST.   +4 more
europepmc   +1 more source

A fractional differential equation model for student learning dynamics using anonymized learning analytics data. [PDF]

Front Psychol
Wang K, Zou T.
europepmc   +1 more source

Analysis of a class of fractal hybrid fractional differential equation with application to a biological model. [PDF]

Sci Rep
Abdeljawad T, Sher M, Shah K, Sarwar M, Amacha I, Alqudah M, Al-Jaser A.   +6 more
europepmc   +1 more source

Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α - Semigroups. [PDF]

ScientificWorldJournal
Ibrahim Abdou Amir F, El Ghazouani A, El Omari M, Melliani S.   +3 more
europepmc   +1 more source